diff --git a/doc/content/media/core_height.png b/doc/content/media/core_height.png new file mode 100644 index 000000000..3f3c052b2 Binary files /dev/null and b/doc/content/media/core_height.png differ diff --git a/doc/content/media/fig_heat_pipe.png b/doc/content/media/fig_heat_pipe.png new file mode 100644 index 000000000..805957a4f Binary files /dev/null and b/doc/content/media/fig_heat_pipe.png differ diff --git a/doc/content/media/krusty_mesh.png b/doc/content/media/krusty_mesh.png new file mode 100644 index 000000000..f23f979ec Binary files /dev/null and b/doc/content/media/krusty_mesh.png differ diff --git a/doc/content/media/krusty_solid_mesh.png b/doc/content/media/krusty_solid_mesh.png new file mode 100644 index 000000000..a4c9ef88b Binary files /dev/null and b/doc/content/media/krusty_solid_mesh.png differ diff --git a/doc/content/media/power_krusty.png b/doc/content/media/power_krusty.png new file mode 100644 index 000000000..c92630184 Binary files /dev/null and b/doc/content/media/power_krusty.png differ diff --git a/doc/content/media/temp_krusty.png b/doc/content/media/temp_krusty.png new file mode 100644 index 000000000..97ea6613e Binary files /dev/null and b/doc/content/media/temp_krusty.png differ diff --git a/doc/content/tutorials/KRUSTY.md b/doc/content/tutorials/KRUSTY.md new file mode 100644 index 000000000..123e08e4f --- /dev/null +++ b/doc/content/tutorials/KRUSTY.md @@ -0,0 +1,885 @@ +# KRUSTY + +In this tutorial, you will learn how to: + +- Couple OpenMC via temperature and heat source feedback to MOOSE for the KRUSTY reactor +- Control the resolution of physics feedback received by OpenMC + +To access this tutorial, + +``` +cd cardinal/tutorials/krusty +``` + +## Geometry and Computational Models + +This model consists of a multiphysics simulation of the KRUSTY reactor, one of the simplest space power reactor concepts ever proposed. The relevant dimensions are summarized in [table1] and in [krusty_solid_mesh] shows the geometry and gap thicknesses. + +!table id=table1 caption=Geometric specifications for KRUSTY +| Component | Inner diameter (cm) | Outer diameter (cm) | +|-----------------|----------------------|----------------------| +| Fuel | 4.000 | 11.000 | +| Clamp | 11.812 | 12.130 | +| Vacuum can | 12.995 | 13.300 | +| Sleeve | 14.211 | 14.300 | +| Reflector | 14.500 | 38.100 | +| Shield | 41.000 | 101.900 | +| Heat pipe wall | 1.181 | 1.270 | + + +The fuel is high enriched uranium U-7.65 Mo with a total length of 25 cm and the core contains a 4 cm hole to allow $B_4C$ control insertion. + + +!media krusty_solid_mesh.png + id=krusty_solid_mesh + caption=KRUSTY geometry schematic + style=width:45% + +### MOOSE Heat Conduction Model + +The MOOSE heat transfer module is used to solve for steady-state heat conduction +\begin{equation} +\label{eq:1} +-\nabla \cdot (k_s \nabla T_s) = \dot{q}_s +\end{equation} +where $k_s$ is the solid thermal conductivity, $T_s$ is the solid temperature, and $\dot{q}_s$ is a volumetric heat source in the solid. + +[krusty_mesh] shows the mesh used in this example. The geometry was build using FUSION360, where the CAD file was exported into Cubit, where the mesh was build. Cubit can create meshes with user-defined geometry and customizable boundary layers. The Cubit script used to generate the solid mesh can be found in the directory `cardinal/tutorials/krusty/meshes`, where you will find two files, a `.sat` file that you will import into cubit, which will generate the geometry of KRUSTY, however in order to generete the mesh you will need to run the scripts in the `.txt` file in the cubit terminal, and then you can export the `.e` mesh file, which is the format that MOOSE can read. You can find the `.e` files in this box link: [box](https://anl.app.box.com/s/irryqrx97n5vi4jmct1e3roqgmhzic89/folder/141527707499). Do not forget to place the `e.` mesh files in the same directory as your `.i` files. + +!media krusty_mesh.png + id=krusty_mesh + caption=KRUSTY mesh + style=width:45% + +### OpenMC Model + +The OpenMC model is built using CSG, which are cells created from regions of space formed by half-space of various common surfaces. First, we define materials for each component of the reactor. Next, we define our geometric parameters, so we can start building our surfaces and manipulate them to create the geometry of each component of the KRUSTY reactor. Then, we need to create cells for each component and fill them with the materials that we previously created, so we can create a universe containg all the cells using `openmc.Universe`. This geometry can be seen in [krusty_solid_mesh]. + +We will use a linear-linear stochastic interpolation between the two cross section data sets nearest to the imposed temperature by setting the `method` parameter on `settings.temperature` to `interpolation`. When OpenMC is initialized, the cross section data is loaded for a temperature range specified by `range` in `settings`. + +!listing /tutorials/krusty/KRUSTY/model03.py + +To generate the settings XML files needed to run OpenMC, you just need to run + +``` +settings.export_to_xml() +``` + + +## Multiphysics Coupling + id=coupling + +In this section, OpenMC, Sockeye are coupled to MOOSE for heat source and heat pipes temperature feedback for the KRUSTY reactor. First we briefly discuss the basic thermal cycle of a heat pipe, which is described in [fig_heat_pipe] + +!media fig_heat_pipe.png + id=fig_heat_pipe + caption=KRUSTY geometry schematic + style=width:45% +where $1$ shows the working fluid evaporating to vapour by absorbing thermal energy, at $2$ the vapor migrates along the cavity to lower temperature end, and at $3$ the vapour condenses back to fluid and is absorbed by the wick, releasing thermal energy. Finally, at $4$ the working fluid flows back to the higher temperature end. The following sub-sections will describe the input file for each application. + + + + +### Solid Input Files + +The solid phase is solved with the MOOSE Heat Transfer module, and is described in the [solide.i](/tutorials/krusty/KRUSTY/solide.i) input. The mesh exodus file was generated in the Cubit script mentioned before. This file is called inside the `[Mesh]` block: + +!listing /tutorials/krusty/KRUSTY/solide.i + end=Variables + + +The heat transfer module will solve for temperature, which we define as a nonlinear variable and apply a simple uniform initial condition of $1073 K$ + +!listing /tutorials/krusty/KRUSTY/solide.i + block=Variables + +The governing equation solved by MOOSE is specified in the `[Kernels]` block with the [HeatConduction](https://mooseframework.inl.gov/source/kernels/HeatConduction.html) and [CoupledForce](https://mooseframework.inl.gov/source/kernels/CoupledForce.html) kernels. + +!listing /tutorials/krusty/KRUSTY/solide.i + block=Kernels + +Next, the boundary conditions on the solid are applied. In case A, coupling only OpenMC and MOOSE Heat Transfer Model, the boundary conditions on each heat pipe will be the Dirichlet type, where they have a constant temperature of $1073 K$ and for the "outside" boundary conditions will be a [ConvectiveHeatFluxBC](https://mooseframework.inl.gov/source/bcs/ConvectiveHeatFluxBC.html) type, where it computes the convective heat flux, with the convective heat transfer coefficient and the far field temperature coupled as material properties. + +!listing /tutorials/krusty/KRUSTY/solide.i + block=BCs + +The [Transfer](https://mooseframework.inl.gov/syntax/Transfers/index.html) system in MOOSE is used to communicate variables across applications; a heat source will be computed by OpenMC and applied as a source term in MOOSE. In the opposite direction, MOOSE will compute a temperature that will be applied to the OpenMC geometry. We need to add an auxiliary variable to receive the heat source from OpenMC, which is defined as `[power]`. + + +!listing /tutorials/krusty/KRUSTY/solide.i + block=AuxVariables + +We also set thermal conductivity values in the blocks: fuel, `cavity_center`, `gap_clamp`, `gap_ref`, `gap_sleeve`, `gap_vaccan`. Constant values are used for simplicity. + +!listing /tutorials/krusty/KRUSTY/solide.i + block=Materials + + +By setting a fixed number of time steps, `dt`, this example will simply run a fixed number of Picard iterations. + +!listing /tutorials/krusty/KRUSTY/solide.i + block=Executioner + +MOOSE will provide the solid temperature for OpenMC so we add postprocessors to evaluate the average, minimum and maximum temperature in the fuel. + +!listing /tutorials/krusty/KRUSTY/solide.i + start=Postprocessors + +### Neutronics Input Files + +We begin by defining a mesh on which OpenMC will receive temperature from the couple MOOSE application. + +!listing /tutorials/krusty/KRUSTY/openmc.i + end=AuxVariables + +Then, we can define our initial conditions for the temperature, which will be a constant function of $1073 K$ + +!listing /tutorials/krusty/KRUSTY/openmc.i + start=ICs + end=Problem + +Next, we define the `[Problem]` block, which will describe all objects necessary for the physics solve. In order to replace MOOSE finite element calculations with OpenMC particle transport calculations, we are going to use the [OpenMCCellAverageProblem](https://cardinal.cels.anl.gov/source/problems/OpenMCCellAverageProblem.html) class. In this model, we specify the total fission power by which to normalize OpenMC's tally results. Next, we indicate which blocks in the `[Mesh]` should be considered for temperature feedback using the `temperature_blocks` parameter. Mesh tallies were used to estimate the heat source, as indicated by `tally_type`, where the same mesh can be translated to multiple locations in the OpenMC geometry, specifying a mesh file using `mesh_template`. + +!listing /tutorials/krusty/KRUSTY/openmc.i + block=Problem + +Next, we add a series of auxiliary variables for solution visualization + +!listing /tutorials/krusty/KRUSTY/openmc.i + block=AuxVariables + +In this example, the overall calculation workflow is as follows: + +1. Run OpenMC using the initial condition for the temperature. +2. Run MOOSE heat conduction with a given power distribuition from OpenMC. +3. Run OpenMC with an updated temperature distribution. +4. Extract the kappa-fission distribution (the recoverable fission energy) + computed by OpenMC and map in the opposite direction from OpenMC cells + to all the MOOSE elements that mapped to each cell. + +The above sequence is repeated until desired convergence of the coupled domain is achieved. +The [MultiApps](https://mooseframework.inl.gov/syntax/MultiApps/index.html) +and [Transfers](https://mooseframework.inl.gov/syntax/Transfers/index.html) +blocks describe the interaction between Cardinal and MOOSE. OpenMC is run as the main application, with +MOOSE heat conduction run as the sub-application. + + +!listing /tutorials/krusty/KRUSTY/openmc.i + start=MultiApps + end=Postprocessors + +For the heat source transfer from OpenMC, we ensure conservation by requiring that the integral of heat source computed by OpenMC matches the integral of the heat source received by MOOSE. We also add a postprocessor to evaluate the Tally relative error and the multiplication factor. + +!listing /tutorials/krusty/KRUSTY/openmc.i + block=Postprocessors + +Because we did specify sub-cycling in the `[MultiApps]` block, we do not need to define a number of time steps here. + +!listing /tutorials/krusty/KRUSTY/openmc.i + start=Executioner + + +## Execution and Postprocessing + +To run the coupled calculation + +``` +mpiexec -np 2 cardinal-opt -i openmc.i --n-threads=2 +``` + +This will run both MOOSE and OpenMC with 2 MPI processes and 2 OpenMP threads per rank. +To run the simulation faster, you can increase the parallel processes/threads, or +simply decrease the number of particles used in OpenMC. +When the simulation has completed, you will have created a number of different output files: + +- `openmc_out_solid0.e`, an Exodus output with the OpenMC solution and the data + that was ultimately transferred in/out of OpenMC + +First, let's examine how the mapping between OpenMC and MOOSE was established. +When we run with `verbose = true`, you will see the following mapping information displayed: + +``` + ===================> MAPPING FROM OPENMC TO MOOSE <=================== + + T: # elems providing temperature-only feedback + rho: # elems providing density-only feedback + T+rho: # elems providing temperature and density feedback + Other: # elems which do not provide feedback to OpenMC + (but receives a cell tally from OpenMC) + Mapped Vol: volume of MOOSE elems each cell maps to + Actual Vol: OpenMC cell volume (computed with 'volume_calculation') + +---------------------------------------------------------------------------------------- +| Cell | T | rho | T+rho | Other | Mapped Vol | Actual Vol | +---------------------------------------------------------------------------------------- +| 1, instance 0 (of 1) | 17 | 0 | 0 | 0 | 1.272e-06 | | +| 2, instance 0 (of 1) | 27 | 0 | 0 | 0 | 2.093e-06 | | +| 3, instance 0 (of 1) | 37 | 0 | 0 | 0 | 2.994e-06 | | +| 4, instance 0 (of 1) | 43 | 0 | 0 | 0 | 3.343e-06 | | +| 5, instance 0 (of 1) | 17 | 0 | 0 | 0 | 1.264e-06 | | +| 6, instance 0 (of 1) | 40 | 0 | 0 | 0 | 2.794e-06 | | +| 7, instance 0 (of 1) | 55 | 0 | 0 | 0 | 3.334e-06 | | +| 8, instance 0 (of 1) | 55 | 0 | 0 | 0 | 2.914e-06 | | +| 9, instance 0 (of 1) | 63 | 0 | 0 | 0 | 3.281e-06 | | +| 10, instance 0 (of 1) | 54 | 0 | 0 | 0 | 2.142e-06 | | +| 11, instance 0 (of 1) | 116 | 0 | 0 | 0 | 4.344e-06 | | +| 12, instance 0 (of 1) | 103 | 0 | 0 | 0 | 3.510e-06 | | +| 13, instance 0 (of 1) | 117 | 0 | 0 | 0 | 3.284e-06 | | +| 14, instance 0 (of 1) | 159 | 0 | 0 | 0 | 3.858e-06 | | +| 15, instance 0 (of 1) | 223 | 0 | 0 | 0 | 4.373e-06 | | +| 16, instance 0 (of 1) | 219 | 0 | 0 | 0 | 3.930e-06 | | +| 17, instance 0 (of 1) | 328 | 0 | 0 | 0 | 3.638e-06 | | +| 18, instance 0 (of 1) | 378 | 0 | 0 | 0 | 4.023e-06 | | +| 19, instance 0 (of 1) | 255 | 0 | 0 | 0 | 3.619e-06 | | +| 20, instance 0 (of 1) | 264 | 0 | 0 | 0 | 3.659e-06 | | +| 21, instance 0 (of 1) | 164 | 0 | 0 | 0 | 2.034e-06 | | +| 22, instance 0 (of 1) | 222 | 0 | 0 | 0 | 4.005e-06 | | +| 23, instance 0 (of 1) | 234 | 0 | 0 | 0 | 4.125e-06 | | +| 24, instance 0 (of 1) | 274 | 0 | 0 | 0 | 3.551e-06 | | +| 25, instance 0 (of 1) | 29 | 0 | 0 | 0 | 2.053e-06 | | +| 26, instance 0 (of 1) | 16 | 0 | 0 | 0 | 1.200e-06 | | +| 27, instance 0 (of 1) | 50 | 0 | 0 | 0 | 3.710e-06 | | +| 28, instance 0 (of 1) | 51 | 0 | 0 | 0 | 3.533e-06 | | +| 29, instance 0 (of 1) | 7 | 0 | 0 | 0 | 4.522e-07 | | +| 30, instance 0 (of 1) | 49 | 0 | 0 | 0 | 2.709e-06 | | +| 31, instance 0 (of 1) | 69 | 0 | 0 | 0 | 3.249e-06 | | +| 32, instance 0 (of 1) | 104 | 0 | 0 | 0 | 3.975e-06 | | +| 33, instance 0 (of 1) | 87 | 0 | 0 | 0 | 2.775e-06 | | +| 34, instance 0 (of 1) | 125 | 0 | 0 | 0 | 3.186e-06 | | +| 35, instance 0 (of 1) | 145 | 0 | 0 | 0 | 3.363e-06 | | +| 36, instance 0 (of 1) | 160 | 0 | 0 | 0 | 3.265e-06 | | +| 37, instance 0 (of 1) | 207 | 0 | 0 | 0 | 3.640e-06 | | +| 38, instance 0 (of 1) | 234 | 0 | 0 | 0 | 3.712e-06 | | +| 39, instance 0 (of 1) | 308 | 0 | 0 | 0 | 4.054e-06 | | +| 40, instance 0 (of 1) | 297 | 0 | 0 | 0 | 3.800e-06 | | +| 41, instance 0 (of 1) | 494 | 0 | 0 | 0 | 4.716e-06 | | +| 42, instance 0 (of 1) | 438 | 0 | 0 | 0 | 3.904e-06 | | +| 43, instance 0 (of 1) | 286 | 0 | 0 | 0 | 3.770e-06 | | +| 44, instance 0 (of 1) | 302 | 0 | 0 | 0 | 3.712e-06 | | +| 45, instance 0 (of 1) | 192 | 0 | 0 | 0 | 2.109e-06 | | +| 46, instance 0 (of 1) | 232 | 0 | 0 | 0 | 3.156e-06 | | +| 47, instance 0 (of 1) | 300 | 0 | 0 | 0 | 4.063e-06 | | +| 48, instance 0 (of 1) | 320 | 0 | 0 | 0 | 3.652e-06 | | +| 49, instance 0 (of 1) | 25 | 0 | 0 | 0 | 1.776e-06 | | +| 50, instance 0 (of 1) | 21 | 0 | 0 | 0 | 1.567e-06 | | +| 51, instance 0 (of 1) | 41 | 0 | 0 | 0 | 2.972e-06 | | +| 52, instance 0 (of 1) | 56 | 0 | 0 | 0 | 3.821e-06 | | +| 53, instance 0 (of 1) | 10 | 0 | 0 | 0 | 6.322e-07 | | +| 54, instance 0 (of 1) | 58 | 0 | 0 | 0 | 3.127e-06 | | +| 55, instance 0 (of 1) | 70 | 0 | 0 | 0 | 3.040e-06 | | +| 56, instance 0 (of 1) | 94 | 0 | 0 | 0 | 3.442e-06 | | +| 57, instance 0 (of 1) | 79 | 0 | 0 | 0 | 2.288e-06 | | +| 58, instance 0 (of 1) | 134 | 0 | 0 | 0 | 3.309e-06 | | +| 59, instance 0 (of 1) | 160 | 0 | 0 | 0 | 3.543e-06 | | +| 60, instance 0 (of 1) | 176 | 0 | 0 | 0 | 3.534e-06 | | +| 61, instance 0 (of 1) | 204 | 0 | 0 | 0 | 3.589e-06 | | +| 62, instance 0 (of 1) | 243 | 0 | 0 | 0 | 3.828e-06 | | +| 63, instance 0 (of 1) | 303 | 0 | 0 | 0 | 3.813e-06 | | +| 64, instance 0 (of 1) | 309 | 0 | 0 | 0 | 3.565e-06 | | +| 65, instance 0 (of 1) | 549 | 0 | 0 | 0 | 5.176e-06 | | +| 66, instance 0 (of 1) | 474 | 0 | 0 | 0 | 3.719e-06 | | +| 67, instance 0 (of 1) | 296 | 0 | 0 | 0 | 3.345e-06 | | +| 68, instance 0 (of 1) | 341 | 0 | 0 | 0 | 4.042e-06 | | +| 69, instance 0 (of 1) | 202 | 0 | 0 | 0 | 1.983e-06 | | +| 70, instance 0 (of 1) | 238 | 0 | 0 | 0 | 3.434e-06 | | +| 71, instance 0 (of 1) | 298 | 0 | 0 | 0 | 3.969e-06 | | +| 72, instance 0 (of 1) | 321 | 0 | 0 | 0 | 3.803e-06 | | +| 73, instance 0 (of 1) | 24 | 0 | 0 | 0 | 1.714e-06 | | +| 74, instance 0 (of 1) | 16 | 0 | 0 | 0 | 1.197e-06 | | +| 75, instance 0 (of 1) | 49 | 0 | 0 | 0 | 3.625e-06 | | +| 76, instance 0 (of 1) | 58 | 0 | 0 | 0 | 4.232e-06 | | +| 77, instance 0 (of 1) | 8 | 0 | 0 | 0 | 4.345e-07 | | +| 78, instance 0 (of 1) | 53 | 0 | 0 | 0 | 3.001e-06 | | +| 79, instance 0 (of 1) | 71 | 0 | 0 | 0 | 3.474e-06 | | +| 80, instance 0 (of 1) | 92 | 0 | 0 | 0 | 3.424e-06 | | +| 81, instance 0 (of 1) | 71 | 0 | 0 | 0 | 2.378e-06 | | +| 82, instance 0 (of 1) | 124 | 0 | 0 | 0 | 3.199e-06 | | +| 83, instance 0 (of 1) | 160 | 0 | 0 | 0 | 3.575e-06 | | +| 84, instance 0 (of 1) | 163 | 0 | 0 | 0 | 3.190e-06 | | +| 85, instance 0 (of 1) | 200 | 0 | 0 | 0 | 3.521e-06 | | +| 86, instance 0 (of 1) | 252 | 0 | 0 | 0 | 4.046e-06 | | +| 87, instance 0 (of 1) | 309 | 0 | 0 | 0 | 3.913e-06 | | +| 88, instance 0 (of 1) | 309 | 0 | 0 | 0 | 3.586e-06 | | +| 89, instance 0 (of 1) | 560 | 0 | 0 | 0 | 5.075e-06 | | +| 90, instance 0 (of 1) | 449 | 0 | 0 | 0 | 3.332e-06 | | +| 91, instance 0 (of 1) | 334 | 0 | 0 | 0 | 3.625e-06 | | +| 92, instance 0 (of 1) | 359 | 0 | 0 | 0 | 4.137e-06 | | +| 93, instance 0 (of 1) | 187 | 0 | 0 | 0 | 1.605e-06 | | +| 94, instance 0 (of 1) | 263 | 0 | 0 | 0 | 3.669e-06 | | +| 95, instance 0 (of 1) | 281 | 0 | 0 | 0 | 3.929e-06 | | +| 96, instance 0 (of 1) | 305 | 0 | 0 | 0 | 3.767e-06 | | +| 97, instance 0 (of 1) | 21 | 0 | 0 | 0 | 1.595e-06 | | +| 98, instance 0 (of 1) | 26 | 0 | 0 | 0 | 2.072e-06 | | +| 99, instance 0 (of 1) | 45 | 0 | 0 | 0 | 3.322e-06 | | +| 100, instance 0 (of 1) | 58 | 0 | 0 | 0 | 3.805e-06 | | +| 101, instance 0 (of 1) | 5 | 0 | 0 | 0 | 2.318e-07 | | +| 102, instance 0 (of 1) | 47 | 0 | 0 | 0 | 2.437e-06 | | +| 103, instance 0 (of 1) | 71 | 0 | 0 | 0 | 3.122e-06 | | +| 104, instance 0 (of 1) | 104 | 0 | 0 | 0 | 3.830e-06 | | +| 105, instance 0 (of 1) | 74 | 0 | 0 | 0 | 2.452e-06 | | +| 106, instance 0 (of 1) | 118 | 0 | 0 | 0 | 3.221e-06 | | +| 107, instance 0 (of 1) | 153 | 0 | 0 | 0 | 3.495e-06 | | +| 108, instance 0 (of 1) | 198 | 0 | 0 | 0 | 4.092e-06 | | +| 109, instance 0 (of 1) | 163 | 0 | 0 | 0 | 3.037e-06 | | +| 110, instance 0 (of 1) | 242 | 0 | 0 | 0 | 4.023e-06 | | +| 111, instance 0 (of 1) | 296 | 0 | 0 | 0 | 3.849e-06 | | +| 112, instance 0 (of 1) | 302 | 0 | 0 | 0 | 3.663e-06 | | +| 113, instance 0 (of 1) | 553 | 0 | 0 | 0 | 5.083e-06 | | +| 114, instance 0 (of 1) | 506 | 0 | 0 | 0 | 3.884e-06 | | +| 115, instance 0 (of 1) | 298 | 0 | 0 | 0 | 3.164e-06 | | +| 116, instance 0 (of 1) | 375 | 0 | 0 | 0 | 4.346e-06 | | +| 117, instance 0 (of 1) | 213 | 0 | 0 | 0 | 1.910e-06 | | +| 118, instance 0 (of 1) | 246 | 0 | 0 | 0 | 3.334e-06 | | +| 119, instance 0 (of 1) | 288 | 0 | 0 | 0 | 3.996e-06 | | +| 120, instance 0 (of 1) | 330 | 0 | 0 | 0 | 3.929e-06 | | +| 121, instance 0 (of 1) | 17 | 0 | 0 | 0 | 1.232e-06 | | +| 122, instance 0 (of 1) | 19 | 0 | 0 | 0 | 1.500e-06 | | +| 123, instance 0 (of 1) | 50 | 0 | 0 | 0 | 3.566e-06 | | +| 124, instance 0 (of 1) | 65 | 0 | 0 | 0 | 4.379e-06 | | +| 125, instance 0 (of 1) | 2 | 0 | 0 | 0 | 1.224e-07 | | +| 126, instance 0 (of 1) | 62 | 0 | 0 | 0 | 3.197e-06 | | +| 127, instance 0 (of 1) | 72 | 0 | 0 | 0 | 3.289e-06 | | +| 128, instance 0 (of 1) | 103 | 0 | 0 | 0 | 3.834e-06 | | +| 129, instance 0 (of 1) | 68 | 0 | 0 | 0 | 2.192e-06 | | +| 130, instance 0 (of 1) | 105 | 0 | 0 | 0 | 2.671e-06 | | +| 131, instance 0 (of 1) | 164 | 0 | 0 | 0 | 3.820e-06 | | +| 132, instance 0 (of 1) | 183 | 0 | 0 | 0 | 3.752e-06 | | +| 133, instance 0 (of 1) | 195 | 0 | 0 | 0 | 3.496e-06 | | +| 134, instance 0 (of 1) | 248 | 0 | 0 | 0 | 3.695e-06 | | +| 135, instance 0 (of 1) | 310 | 0 | 0 | 0 | 4.022e-06 | | +| 136, instance 0 (of 1) | 306 | 0 | 0 | 0 | 3.626e-06 | | +| 137, instance 0 (of 1) | 518 | 0 | 0 | 0 | 4.869e-06 | | +| 138, instance 0 (of 1) | 463 | 0 | 0 | 0 | 3.724e-06 | | +| 139, instance 0 (of 1) | 293 | 0 | 0 | 0 | 3.157e-06 | | +| 140, instance 0 (of 1) | 357 | 0 | 0 | 0 | 4.015e-06 | | +| 141, instance 0 (of 1) | 216 | 0 | 0 | 0 | 2.169e-06 | | +| 142, instance 0 (of 1) | 252 | 0 | 0 | 0 | 3.477e-06 | | +| 143, instance 0 (of 1) | 291 | 0 | 0 | 0 | 3.936e-06 | | +| 144, instance 0 (of 1) | 312 | 0 | 0 | 0 | 3.653e-06 | | +| 145, instance 0 (of 1) | 16 | 0 | 0 | 0 | 1.124e-06 | | +| 146, instance 0 (of 1) | 26 | 0 | 0 | 0 | 1.862e-06 | | +| 147, instance 0 (of 1) | 45 | 0 | 0 | 0 | 3.125e-06 | | +| 148, instance 0 (of 1) | 59 | 0 | 0 | 0 | 3.730e-06 | | +| 149, instance 0 (of 1) | 9 | 0 | 0 | 0 | 5.350e-07 | | +| 150, instance 0 (of 1) | 55 | 0 | 0 | 0 | 2.778e-06 | | +| 151, instance 0 (of 1) | 74 | 0 | 0 | 0 | 2.972e-06 | | +| 152, instance 0 (of 1) | 114 | 0 | 0 | 0 | 3.901e-06 | | +| 153, instance 0 (of 1) | 69 | 0 | 0 | 0 | 2.107e-06 | | +| 154, instance 0 (of 1) | 145 | 0 | 0 | 0 | 3.591e-06 | | +| 155, instance 0 (of 1) | 163 | 0 | 0 | 0 | 3.624e-06 | | +| 156, instance 0 (of 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240, instance 0 (of 1) | 342 | 0 | 0 | 0 | 3.925e-06 | | +| 241, instance 0 (of 1) | 8 | 0 | 0 | 0 | 5.457e-07 | | +| 242, instance 0 (of 1) | 30 | 0 | 0 | 0 | 2.239e-06 | | +| 243, instance 0 (of 1) | 54 | 0 | 0 | 0 | 3.673e-06 | | +| 244, instance 0 (of 1) | 65 | 0 | 0 | 0 | 4.073e-06 | | +| 245, instance 0 (of 1) | 10 | 0 | 0 | 0 | 4.650e-07 | | +| 246, instance 0 (of 1) | 56 | 0 | 0 | 0 | 2.619e-06 | | +| 247, instance 0 (of 1) | 86 | 0 | 0 | 0 | 3.274e-06 | | +| 248, instance 0 (of 1) | 121 | 0 | 0 | 0 | 3.866e-06 | | +| 249, instance 0 (of 1) | 78 | 0 | 0 | 0 | 2.147e-06 | | +| 250, instance 0 (of 1) | 146 | 0 | 0 | 0 | 3.446e-06 | | +| 251, instance 0 (of 1) | 171 | 0 | 0 | 0 | 3.627e-06 | | +| 252, instance 0 (of 1) | 186 | 0 | 0 | 0 | 3.561e-06 | | +| 253, instance 0 (of 1) | 204 | 0 | 0 | 0 | 3.477e-06 | | +| 254, instance 0 (of 1) | 257 | 0 | 0 | 0 | 3.922e-06 | | +| 255, instance 0 (of 1) | 303 | 0 | 0 | 0 | 3.795e-06 | | +| 256, instance 0 (of 1) | 313 | 0 | 0 | 0 | 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| | +| 374, instance 0 (of 1) | 260 | 0 | 0 | 0 | 3.925e-06 | | +| 375, instance 0 (of 1) | 298 | 0 | 0 | 0 | 3.669e-06 | | +| 376, instance 0 (of 1) | 334 | 0 | 0 | 0 | 3.774e-06 | | +| 377, instance 0 (of 1) | 551 | 0 | 0 | 0 | 4.946e-06 | | +| 378, instance 0 (of 1) | 497 | 0 | 0 | 0 | 3.846e-06 | | +| 379, instance 0 (of 1) | 317 | 0 | 0 | 0 | 3.254e-06 | | +| 380, instance 0 (of 1) | 359 | 0 | 0 | 0 | 4.060e-06 | | +| 381, instance 0 (of 1) | 207 | 0 | 0 | 0 | 1.842e-06 | | +| 382, instance 0 (of 1) | 258 | 0 | 0 | 0 | 3.629e-06 | | +| 383, instance 0 (of 1) | 291 | 0 | 0 | 0 | 3.934e-06 | | +| 384, instance 0 (of 1) | 331 | 0 | 0 | 0 | 3.769e-06 | | +| 385, instance 0 (of 1) | 12 | 0 | 0 | 0 | 8.395e-07 | | +| 386, instance 0 (of 1) | 41 | 0 | 0 | 0 | 3.086e-06 | | +| 387, instance 0 (of 1) | 54 | 0 | 0 | 0 | 3.585e-06 | | +| 388, instance 0 (of 1) | 63 | 0 | 0 | 0 | 3.722e-06 | | +| 389, instance 0 (of 1) | 10 | 0 | 0 | 0 | 5.061e-07 | | +| 390, instance 0 (of 1) | 64 | 0 | 0 | 0 | 2.832e-06 | | +| 391, instance 0 (of 1) | 74 | 0 | 0 | 0 | 2.870e-06 | | +| 392, instance 0 (of 1) | 130 | 0 | 0 | 0 | 4.301e-06 | | +| 393, instance 0 (of 1) | 75 | 0 | 0 | 0 | 2.188e-06 | | +| 394, instance 0 (of 1) | 138 | 0 | 0 | 0 | 3.413e-06 | | +| 395, instance 0 (of 1) | 156 | 0 | 0 | 0 | 3.448e-06 | | +| 396, instance 0 (of 1) | 187 | 0 | 0 | 0 | 3.571e-06 | | +| 397, instance 0 (of 1) | 198 | 0 | 0 | 0 | 3.390e-06 | | +| 398, instance 0 (of 1) | 266 | 0 | 0 | 0 | 4.096e-06 | | +| 399, instance 0 (of 1) | 297 | 0 | 0 | 0 | 3.720e-06 | | +| 400, instance 0 (of 1) | 295 | 0 | 0 | 0 | 3.440e-06 | | +| 401, instance 0 (of 1) | 564 | 0 | 0 | 0 | 5.236e-06 | | +| 402, instance 0 (of 1) | 480 | 0 | 0 | 0 | 3.818e-06 | | +| 403, instance 0 (of 1) | 320 | 0 | 0 | 0 | 3.387e-06 | | +| 404, instance 0 (of 1) | 363 | 0 | 0 | 0 | 4.205e-06 | | +| 405, instance 0 (of 1) | 197 | 0 | 0 | 0 | 1.834e-06 | | +| 406, instance 0 (of 1) | 260 | 0 | 0 | 0 | 3.571e-06 | | +| 407, instance 0 (of 1) | 292 | 0 | 0 | 0 | 3.927e-06 | | +| 408, instance 0 (of 1) | 322 | 0 | 0 | 0 | 3.933e-06 | | +| 409, instance 0 (of 1) | 18 | 0 | 0 | 0 | 1.278e-06 | | +| 410, instance 0 (of 1) | 18 | 0 | 0 | 0 | 1.357e-06 | | +| 411, instance 0 (of 1) | 47 | 0 | 0 | 0 | 3.282e-06 | | +| 412, instance 0 (of 1) | 51 | 0 | 0 | 0 | 3.170e-06 | | +| 413, instance 0 (of 1) | 24 | 0 | 0 | 0 | 1.545e-06 | | +| 414, instance 0 (of 1) | 51 | 0 | 0 | 0 | 2.412e-06 | | +| 415, instance 0 (of 1) | 79 | 0 | 0 | 0 | 3.103e-06 | | +| 416, instance 0 (of 1) | 112 | 0 | 0 | 0 | 3.811e-06 | | +| 417, instance 0 (of 1) | 74 | 0 | 0 | 0 | 2.176e-06 | | +| 418, instance 0 (of 1) | 140 | 0 | 0 | 0 | 3.220e-06 | | +| 419, instance 0 (of 1) | 173 | 0 | 0 | 0 | 3.832e-06 | | +| 420, instance 0 (of 1) | 188 | 0 | 0 | 0 | 3.548e-06 | | +| 421, instance 0 (of 1) | 193 | 0 | 0 | 0 | 3.388e-06 | | +| 422, instance 0 (of 1) | 244 | 0 | 0 | 0 | 3.823e-06 | | +| 423, instance 0 (of 1) | 312 | 0 | 0 | 0 | 4.045e-06 | | +| 424, instance 0 (of 1) | 297 | 0 | 0 | 0 | 3.460e-06 | | +| 425, instance 0 (of 1) | 539 | 0 | 0 | 0 | 4.810e-06 | | +| 426, instance 0 (of 1) | 479 | 0 | 0 | 0 | 3.716e-06 | | +| 427, instance 0 (of 1) | 327 | 0 | 0 | 0 | 3.492e-06 | | +| 428, instance 0 (of 1) | 355 | 0 | 0 | 0 | 4.025e-06 | | +| 429, instance 0 (of 1) | 195 | 0 | 0 | 0 | 1.898e-06 | | +| 430, instance 0 (of 1) | 245 | 0 | 0 | 0 | 3.236e-06 | | +| 431, instance 0 (of 1) | 297 | 0 | 0 | 0 | 4.042e-06 | | +| 432, instance 0 (of 1) | 333 | 0 | 0 | 0 | 3.938e-06 | | +| 433, instance 0 (of 1) | 17 | 0 | 0 | 0 | 1.227e-06 | | +| 434, instance 0 (of 1) | 26 | 0 | 0 | 0 | 1.946e-06 | | +| 435, instance 0 (of 1) | 48 | 0 | 0 | 0 | 3.472e-06 | | +| 436, instance 0 (of 1) | 64 | 0 | 0 | 0 | 4.115e-06 | | +| 437, instance 0 (of 1) | 4 | 0 | 0 | 0 | 2.081e-07 | | +| 438, instance 0 (of 1) | 48 | 0 | 0 | 0 | 2.390e-06 | | +| 439, instance 0 (of 1) | 75 | 0 | 0 | 0 | 3.391e-06 | | +| 440, instance 0 (of 1) | 86 | 0 | 0 | 0 | 3.431e-06 | | +| 441, instance 0 (of 1) | 83 | 0 | 0 | 0 | 2.691e-06 | | +| 442, instance 0 (of 1) | 106 | 0 | 0 | 0 | 2.915e-06 | | +| 443, instance 0 (of 1) | 146 | 0 | 0 | 0 | 3.473e-06 | | +| 444, instance 0 (of 1) | 189 | 0 | 0 | 0 | 3.904e-06 | | +| 445, instance 0 (of 1) | 197 | 0 | 0 | 0 | 3.544e-06 | | +| 446, instance 0 (of 1) | 238 | 0 | 0 | 0 | 3.785e-06 | | +| 447, instance 0 (of 1) | 315 | 0 | 0 | 0 | 3.935e-06 | | +| 448, instance 0 (of 1) | 319 | 0 | 0 | 0 | 3.740e-06 | | +| 449, instance 0 (of 1) | 528 | 0 | 0 | 0 | 4.818e-06 | | +| 450, instance 0 (of 1) | 494 | 0 | 0 | 0 | 3.967e-06 | | +| 451, instance 0 (of 1) | 306 | 0 | 0 | 0 | 3.265e-06 | | +| 452, instance 0 (of 1) | 366 | 0 | 0 | 0 | 4.050e-06 | | +| 453, instance 0 (of 1) | 206 | 0 | 0 | 0 | 1.904e-06 | | +| 454, instance 0 (of 1) | 264 | 0 | 0 | 0 | 3.700e-06 | | +| 455, instance 0 (of 1) | 297 | 0 | 0 | 0 | 3.914e-06 | | +| 456, instance 0 (of 1) | 323 | 0 | 0 | 0 | 3.805e-06 | | +| 457, instance 0 (of 1) | 21 | 0 | 0 | 0 | 1.580e-06 | | +| 458, instance 0 (of 1) | 22 | 0 | 0 | 0 | 1.752e-06 | | +| 459, instance 0 (of 1) | 45 | 0 | 0 | 0 | 3.298e-06 | | +| 460, instance 0 (of 1) | 69 | 0 | 0 | 0 | 4.424e-06 | | +| 461, instance 0 (of 1) | 12 | 0 | 0 | 0 | 6.113e-07 | | +| 462, instance 0 (of 1) | 55 | 0 | 0 | 0 | 2.798e-06 | | +| 463, instance 0 (of 1) | 74 | 0 | 0 | 0 | 3.184e-06 | | +| 464, instance 0 (of 1) | 105 | 0 | 0 | 0 | 3.876e-06 | | +| 465, instance 0 (of 1) | 76 | 0 | 0 | 0 | 2.409e-06 | | +| 466, instance 0 (of 1) | 111 | 0 | 0 | 0 | 2.680e-06 | | +| 467, instance 0 (of 1) | 165 | 0 | 0 | 0 | 3.794e-06 | | +| 468, instance 0 (of 1) | 189 | 0 | 0 | 0 | 3.845e-06 | | +| 469, instance 0 (of 1) | 182 | 0 | 0 | 0 | 3.280e-06 | | +| 470, instance 0 (of 1) | 237 | 0 | 0 | 0 | 3.815e-06 | | +| 471, instance 0 (of 1) | 296 | 0 | 0 | 0 | 3.759e-06 | | +| 472, instance 0 (of 1) | 309 | 0 | 0 | 0 | 3.685e-06 | | +| 473, instance 0 (of 1) | 518 | 0 | 0 | 0 | 4.896e-06 | | +| 474, instance 0 (of 1) | 474 | 0 | 0 | 0 | 3.792e-06 | | +| 475, instance 0 (of 1) | 295 | 0 | 0 | 0 | 3.328e-06 | | +| 476, instance 0 (of 1) | 354 | 0 | 0 | 0 | 4.086e-06 | | +| 477, instance 0 (of 1) | 201 | 0 | 0 | 0 | 1.794e-06 | | +| 478, instance 0 (of 1) | 248 | 0 | 0 | 0 | 3.351e-06 | | +| 479, instance 0 (of 1) | 292 | 0 | 0 | 0 | 3.934e-06 | | +| 480, instance 0 (of 1) | 323 | 0 | 0 | 0 | 3.799e-06 | | +| 481, instance 0 (of 1) | 25 | 0 | 0 | 0 | 1.810e-06 | | +| 482, instance 0 (of 1) | 17 | 0 | 0 | 0 | 1.336e-06 | | +| 483, instance 0 (of 1) | 50 | 0 | 0 | 0 | 3.693e-06 | | +| 484, instance 0 (of 1) | 54 | 0 | 0 | 0 | 3.705e-06 | | +| 485, instance 0 (of 1) | 8 | 0 | 0 | 0 | 5.995e-07 | | +| 486, instance 0 (of 1) | 44 | 0 | 0 | 0 | 2.455e-06 | | +| 487, instance 0 (of 1) | 70 | 0 | 0 | 0 | 3.302e-06 | | +| 488, instance 0 (of 1) | 113 | 0 | 0 | 0 | 4.235e-06 | | +| 489, instance 0 (of 1) | 65 | 0 | 0 | 0 | 1.903e-06 | | +| 490, instance 0 (of 1) | 136 | 0 | 0 | 0 | 3.417e-06 | | +| 491, instance 0 (of 1) | 148 | 0 | 0 | 0 | 3.206e-06 | | +| 492, instance 0 (of 1) | 191 | 0 | 0 | 0 | 3.778e-06 | | +| 493, instance 0 (of 1) | 199 | 0 | 0 | 0 | 3.506e-06 | | +| 494, instance 0 (of 1) | 254 | 0 | 0 | 0 | 3.923e-06 | | +| 495, instance 0 (of 1) | 303 | 0 | 0 | 0 | 3.838e-06 | | +| 496, instance 0 (of 1) | 315 | 0 | 0 | 0 | 3.665e-06 | | +| 497, instance 0 (of 1) | 517 | 0 | 0 | 0 | 4.707e-06 | | +| 498, instance 0 (of 1) | 489 | 0 | 0 | 0 | 3.905e-06 | | +| 499, instance 0 (of 1) | 298 | 0 | 0 | 0 | 3.414e-06 | | +| 500, instance 0 (of 1) | 357 | 0 | 0 | 0 | 4.159e-06 | | +| 501, instance 0 (of 1) | 205 | 0 | 0 | 0 | 1.917e-06 | | +| 502, instance 0 (of 1) | 248 | 0 | 0 | 0 | 3.503e-06 | | +| 503, instance 0 (of 1) | 304 | 0 | 0 | 0 | 3.999e-06 | | +| 504, instance 0 (of 1) | 333 | 0 | 0 | 0 | 3.816e-06 | | +| 505, instance 0 (of 1) | 29 | 0 | 0 | 0 | 2.006e-06 | | +| 506, instance 0 (of 1) | 15 | 0 | 0 | 0 | 1.124e-06 | | +| 507, instance 0 (of 1) | 37 | 0 | 0 | 0 | 2.707e-06 | | +| 508, instance 0 (of 1) | 58 | 0 | 0 | 0 | 4.003e-06 | | +| 509, instance 0 (of 1) | 7 | 0 | 0 | 0 | 4.660e-07 | | +| 510, instance 0 (of 1) | 56 | 0 | 0 | 0 | 3.108e-06 | | +| 511, instance 0 (of 1) | 67 | 0 | 0 | 0 | 3.121e-06 | | +| 512, instance 0 (of 1) | 93 | 0 | 0 | 0 | 3.593e-06 | | +| 513, instance 0 (of 1) | 82 | 0 | 0 | 0 | 2.651e-06 | | +| 514, instance 0 (of 1) | 129 | 0 | 0 | 0 | 3.189e-06 | | +| 515, instance 0 (of 1) | 155 | 0 | 0 | 0 | 3.537e-06 | | +| 516, instance 0 (of 1) | 189 | 0 | 0 | 0 | 3.614e-06 | | +| 517, instance 0 (of 1) | 203 | 0 | 0 | 0 | 3.603e-06 | | +| 518, instance 0 (of 1) | 243 | 0 | 0 | 0 | 3.789e-06 | | +| 519, instance 0 (of 1) | 303 | 0 | 0 | 0 | 3.914e-06 | | +| 520, instance 0 (of 1) | 316 | 0 | 0 | 0 | 3.699e-06 | | +| 521, instance 0 (of 1) | 536 | 0 | 0 | 0 | 4.933e-06 | | +| 522, instance 0 (of 1) | 471 | 0 | 0 | 0 | 3.760e-06 | | +| 523, instance 0 (of 1) | 320 | 0 | 0 | 0 | 3.572e-06 | | +| 524, instance 0 (of 1) | 343 | 0 | 0 | 0 | 3.821e-06 | | +| 525, instance 0 (of 1) | 204 | 0 | 0 | 0 | 1.869e-06 | | +| 526, instance 0 (of 1) | 257 | 0 | 0 | 0 | 3.533e-06 | | +| 527, instance 0 (of 1) | 297 | 0 | 0 | 0 | 3.967e-06 | | +| 528, instance 0 (of 1) | 311 | 0 | 0 | 0 | 3.720e-06 | | +| 529, instance 0 (of 1) | 21 | 0 | 0 | 0 | 1.544e-06 | | +| 530, instance 0 (of 1) | 18 | 0 | 0 | 0 | 1.375e-06 | | +| 531, instance 0 (of 1) | 58 | 0 | 0 | 0 | 4.390e-06 | | +| 532, instance 0 (of 1) | 53 | 0 | 0 | 0 | 3.618e-06 | | +| 533, instance 0 (of 1) | 10 | 0 | 0 | 0 | 6.851e-07 | | +| 534, instance 0 (of 1) | 56 | 0 | 0 | 0 | 2.796e-06 | | +| 535, instance 0 (of 1) | 71 | 0 | 0 | 0 | 3.110e-06 | | +| 536, instance 0 (of 1) | 85 | 0 | 0 | 0 | 3.253e-06 | | +| 537, instance 0 (of 1) | 77 | 0 | 0 | 0 | 2.534e-06 | | +| 538, instance 0 (of 1) | 105 | 0 | 0 | 0 | 2.904e-06 | | +| 539, instance 0 (of 1) | 152 | 0 | 0 | 0 | 3.504e-06 | | +| 540, instance 0 (of 1) | 163 | 0 | 0 | 0 | 3.465e-06 | | +| 541, instance 0 (of 1) | 200 | 0 | 0 | 0 | 3.548e-06 | | +| 542, instance 0 (of 1) | 235 | 0 | 0 | 0 | 3.727e-06 | | +| 543, instance 0 (of 1) | 301 | 0 | 0 | 0 | 4.034e-06 | | +| 544, instance 0 (of 1) | 293 | 0 | 0 | 0 | 3.563e-06 | | +| 545, instance 0 (of 1) | 511 | 0 | 0 | 0 | 4.901e-06 | | +| 546, instance 0 (of 1) | 446 | 0 | 0 | 0 | 3.872e-06 | | +| 547, instance 0 (of 1) | 287 | 0 | 0 | 0 | 3.577e-06 | | +| 548, instance 0 (of 1) | 320 | 0 | 0 | 0 | 3.860e-06 | | +| 549, instance 0 (of 1) | 187 | 0 | 0 | 0 | 1.907e-06 | | +| 550, instance 0 (of 1) | 228 | 0 | 0 | 0 | 3.349e-06 | | +| 551, instance 0 (of 1) | 281 | 0 | 0 | 0 | 4.059e-06 | | +| 552, instance 0 (of 1) | 309 | 0 | 0 | 0 | 3.884e-06 | | +| 553, instance 0 (of 1) | 19 | 0 | 0 | 0 | 1.410e-06 | | +| 554, instance 0 (of 1) | 24 | 0 | 0 | 0 | 2.012e-06 | | +| 555, instance 0 (of 1) | 38 | 0 | 0 | 0 | 3.107e-06 | | +| 556, instance 0 (of 1) | 42 | 0 | 0 | 0 | 3.327e-06 | | +| 557, instance 0 (of 1) | 17 | 0 | 0 | 0 | 1.462e-06 | | +| 558, instance 0 (of 1) | 36 | 0 | 0 | 0 | 2.314e-06 | | +| 559, instance 0 (of 1) | 55 | 0 | 0 | 0 | 2.892e-06 | | +| 560, instance 0 (of 1) | 71 | 0 | 0 | 0 | 3.626e-06 | | +| 561, instance 0 (of 1) | 62 | 0 | 0 | 0 | 2.928e-06 | | +| 562, instance 0 (of 1) | 78 | 0 | 0 | 0 | 2.965e-06 | | +| 563, instance 0 (of 1) | 104 | 0 | 0 | 0 | 3.801e-06 | | +| 564, instance 0 (of 1) | 106 | 0 | 0 | 0 | 3.587e-06 | | +| 565, instance 0 (of 1) | 122 | 0 | 0 | 0 | 3.520e-06 | | +| 566, instance 0 (of 1) | 166 | 0 | 0 | 0 | 3.895e-06 | | +| 567, instance 0 (of 1) | 204 | 0 | 0 | 0 | 4.026e-06 | | +| 568, instance 0 (of 1) | 235 | 0 | 0 | 0 | 4.004e-06 | | +| 569, instance 0 (of 1) | 345 | 0 | 0 | 0 | 4.074e-06 | | +| 570, instance 0 (of 1) | 389 | 0 | 0 | 0 | 4.032e-06 | | +| 571, instance 0 (of 1) | 262 | 0 | 0 | 0 | 3.518e-06 | | +| 572, instance 0 (of 1) | 285 | 0 | 0 | 0 | 3.836e-06 | | +| 573, instance 0 (of 1) | 143 | 0 | 0 | 0 | 1.638e-06 | | +| 574, instance 0 (of 1) | 225 | 0 | 0 | 0 | 3.914e-06 | | +| 575, instance 0 (of 1) | 236 | 0 | 0 | 0 | 4.346e-06 | | +| 576, instance 0 (of 1) | 248 | 0 | 0 | 0 | 3.484e-06 | | +| 577, instance 0 (of 1) | 8562 | 0 | 0 | 0 | 6.139e-04 | | +| 579, instance 0 (of 1) | 53583 | 0 | 0 | 0 | 9.319e-04 | | +| 580, instance 0 (of 1) | 53979 | 0 | 0 | 0 | 9.304e-04 | | +| 613, instance 0 (of 1) | 42663 | 0 | 0 | 0 | 3.465e-04 | | +| 614, instance 0 (of 1) | 50338 | 0 | 0 | 0 | 5.789e-04 | | +| 615, instance 0 (of 1) | 38227 | 0 | 0 | 0 | 2.942e-04 | | +| 616, instance 0 (of 1) | 34153 | 0 | 0 | 0 | 2.497e-04 | | +| 617, instance 0 (of 1) | 29815 | 0 | 0 | 0 | 6.205e-04 | | +| 618, instance 0 (of 1) | 24836 | 0 | 0 | 0 | 8.822e-04 | | +| 619, instance 0 (of 1) | 21965 | 0 | 0 | 0 | 1.981e-04 | | +| 620, instance 0 (of 1) | 21483 | 0 | 0 | 0 | 2.256e-04 | | +---------------------------------------------------------------------------------------- + + ===================> AUXVARIABLES FOR OPENMC I/O <=================== + + Subdomain: subdomain name/ID + Temperature: variable OpenMC reads temperature from (empty if no feedback) + Density: variable OpenMC reads density from (empty if no feedback) + +----------------------------------------- +| Subdomain | Temperature | Density | +----------------------------------------- +| gap_clamp | temp | | +| clamp | temp | | +| gap_vaccan | temp | | +| MLI | temp | | +| vacuum_can | temp | | +| gap_sleeve | temp | | +| sleeve | temp | | +| gap_ref | temp | | +| cavity_center | temp | | +| ref_bottom | temp | | +| core | temp | | +| ref_top | temp | | +----------------------------------------- + + Tally Score: OpenMC tally score + AuxVariable: variable where this score is written + +------------------------------- +| Tally Score | AuxVariable | +------------------------------- +| kappa-fission | heat_source | +------------------------------- + + ===================> OPENMC SUBDOMAIN MATERIAL MAPPING <==================== + + Subdomain: Subdomain name; if unnamed, we show the ID + Material: OpenMC material name(s) in this subdomain; if unnamed, we + show the ID. If N duplicate material names, we show the + number in ( ). + +----------------------------------- +| Subdomain | Material | +----------------------------------- +| gap_clamp | Helium for gap | +| clamp | Haynes230 | +| gap_vaccan | Helium for gap | +| MLI | Mo Foil | +| vacuum_can | SS | +| gap_sleeve | Helium for gap | +| sleeve | SS | +| gap_ref | Helium for gap | +| cavity_center | VOID | +| ref_bottom | BeO reflector | +| core | U-7.65Mo Fuel | +| ref_top | BeO reflector | + +``` + +This shows the OpenMC cells mapped to the MOOSE elements. The above message also shows the +volume that each OpenMC cell maps to. Because there are no distributed cells in this +problem, each cell only has a single instance. Since we added a stochastic volume +calculation, the last column (`Actual Vol`) is populated with OpenMC's stochastic +estimates for the cell volumes. You can increase the number of samples to drive the error +lower to get more refined estimates of volumes. We cab also see the auxiliary variables and material mapping for OpenMC + +[core_height] shows the heat source mapped along the KRUSTY core height. + +!media core_height.png + id=core_height + caption=Heat source (W/cm$^3$) computed by OpenMC + style=width:45%; + +[temp_krusty] and [power_krusty] shows the multiphysics results for temperature and power density. + +!media temp_krusty.png + id=temp_krusty + caption=Multiphysics results for temperature (K) + style=width:45%;float:left + +!media power_krusty.png + id=power_krusty + caption=Multiphysics results for power density (W/cm$^3$) + style=width:45%;float:right diff --git a/doc/content/tutorials/openmc_solid.md b/doc/content/tutorials/openmc_solid.md index f8f57169b..732588b57 100644 --- a/doc/content/tutorials/openmc_solid.md +++ b/doc/content/tutorials/openmc_solid.md @@ -29,6 +29,7 @@ Four examples are provided: - [Solid UO$_2$ pebbles](triso.md) - [TRISO compacts](gas_compact.md) - [DAGMC pincell](dagmc.md) +- [KRUSTY](KRUSTY.md) Note that many of the features that are introduced in these tutorials are *general* features that also apply to density feedback in OpenMC. diff --git a/tutorials/krusty/KRUSTY/hp_centers.txt b/tutorials/krusty/KRUSTY/hp_centers.txt new file mode 100644 index 000000000..06d10c0aa --- /dev/null +++ b/tutorials/krusty/KRUSTY/hp_centers.txt @@ -0,0 +1,8 @@ +5.175000000000000 0.000000000000000 10.00000000000000 +3.659000000000000 3.659000000000000 10.00000000000000 +0.000000000000000 5.175000000000000 10.00000000000000 +-3.659000000000000 3.659000000000000 10.00000000000000 +-5.175000000000000 0.000000000000000 10.00000000000000 +-3.659000000000000 -3.659000000000000 10.00000000000000 +0.000000000000000 -5.175000000000000 10.00000000000000 +3.659000000000000 -3.659000000000000 10.00000000000000 \ No newline at end of file diff --git a/tutorials/krusty/KRUSTY/model03.py b/tutorials/krusty/KRUSTY/model03.py new file mode 100644 index 000000000..24b96b023 --- /dev/null +++ b/tutorials/krusty/KRUSTY/model03.py @@ -0,0 +1,373 @@ +################################################################################ +# KRUSTY 01 - 01/18/2024 +# Geometry and materials taken from: +# [1] David I. Poston, Marc A. Gibson, Thomas Godfroy & Patrick R. McClure (2020) +# KRUSTY Reactor Design, Nuclear Technology, 206:sup1, S13-S30, +# DOI: 10.1080/00295450.2020.1725382 +# [2] Patrick R. McClure, David I. Poston, Steven D. Clement, Louis Restrepo, +# Robert Miller & Manny Negrete (2020) KRUSTY Experiment: Reactivity Insertion +# Accident Analysis, Nuclear Technology, 206:sup1, S43-S55, +# DOI: 10.1080/00295450.2020.1722544 +# +################################################################################ +import openmc +import numpy as np +import math + +################################################################################ +## Defining Materials + +n_234 = 0.010 +n_235 = 0.931 +n_236 = 0.005 +n_238 = 0.054 + +UMo = openmc.Material(name='U-7.65Mo Fuel') +UMo.set_density('g/cm3', 17.39) #edited to conserve mass (was 17.34) +UMo.add_nuclide('U234', 92.35*n_234) +UMo.add_nuclide('U235', 92.35*n_235) +UMo.add_nuclide('U236', 92.35*n_236) +UMo.add_nuclide('U238', 92.35*n_238) +UMo.add_element('Mo', 7.65) +UMo.add_element('C', 300*1.0e-6) #C in ppm + +B4C = openmc.Material(name='B4C rod') +B4C.set_density('g/cm3', 2.15 ) +B4C.add_element('C', 1) +B4C.add_nuclide('B10', 0.96*4) +B4C.add_nuclide('B11', 0.04*4) + +Haynes230 = openmc.Material(name='Haynes230') +Haynes230.set_density('g/cm3', 8.97) +Haynes230.add_element('Ni', 65.7) +Haynes230.add_element('Cr', 24) +Haynes230.add_element('W', 15) +Haynes230.add_element('Mo', 3) +Haynes230.add_element('Mn', 1) +Haynes230.add_element('Si', 0.75) +Haynes230.add_element('C', 0.09) + +MLI = openmc.Material(name='Mo Foil') +MLI.set_density('g/cm3', 10.2) +MLI.add_element('Mo', 1.0) + +Cu = openmc.Material(name='Cu Foil') +Cu.set_density('g/cm3', 8.9 ) +Cu.add_element('Cu', 1.0 ) + +Ni = openmc.Material(name='Ni heat pipe wick') +Ni.set_density('g/cm3', 8.9 ) +Ni.add_element('Ni', 1.0) + +HP_fld = openmc.Material(name='heat pipe fluid') +HP_fld.set_density('g/cm3', 0.1941) #to conserve 15 gm of Na (UPDATE!) +HP_fld.add_element('Na', 1.0) + +SS = openmc.Material(name='SS') +SS.set_density('g/cm3', 7.99) +SS.add_element('C', 0.001900) +SS.add_element('Si', 0.010048) +SS.add_element('P', 0.000413) +SS.add_element('S', 0.000260) +SS.add_element('Cr', 0.181986) +SS.add_element('Mn', 0.010274) +SS.add_element('Fe', 0.666812) +SS.add_element('Ni', 0.113803) +SS.add_element('Mo', 0.014504) + +helium = openmc.Material(name='Helium for gap') +helium.set_density('g/cm3', 0.001598) +helium.add_element('He', 2.4044e-4) + +BeO = openmc.Material(name='BeO reflector') +BeO.set_density('g/cm3', 2.85 ) +BeO.add_element('Be', 1) +BeO.add_element('O', 1) +#BeO.add_s_alpha_beta('c_Be') + +SS316 = openmc.Material(name='Shield') +SS316.set_density('g/cm3', 7.99) +SS316.add_element('C', 0.001900) +SS316.add_element('Si', 0.010048) +SS316.add_element('P', 0.000413) +SS316.add_element('S', 0.000260) +SS316.add_element('Cr', 0.181986) +SS316.add_element('Mn', 0.010274) +SS316.add_element('Fe', 0.666812) +SS316.add_element('Ni', 0.113803) +SS316.add_element('Mo', 0.014504) + +materials = openmc.Materials([UMo, B4C, Haynes230, MLI, Cu, Ni, SS, helium, BeO, SS316, HP_fld]) +materials.export_to_xml() + +################################################################################ +## Defining Geometry +# Parameters + +Fuel_OD = 11.0 +Fuel_ID = 4.0 +Core_length = 25.0 +Reflector_height = 12.49 # Assumed +Reflector_ring_bottom = 9 # Assumed +Reflector_ring_height = 28.8925 # 11.375 inch - from KRUSTY component-critical experiments + +Clamps_OD = 12.13 +Clamps_th = 0.318 + + +MLI_th = (25.4e-6 + 101.6e-6)*10*100 + +Vac_can_OD = 13.3 +Vac_can_length = 52.5 +Vac_can_th = 0.305 + +SS_sleeve_th = 0.089 + +gap_BeO = 0.1 + +BeO_rings_ID = 14.5 +BeO_rings_OD = 38.1 +BeO_rings_th = 2.54 + +BeO_axref_height = 10.16 + +SS_shield_length = 63.1 +SS_shield_ID = 41.0 +SS_shield_OD = 101.9 + +HP_OD = 1.27 +HP_th = 0.089 + +Cu_foil_th = 25e-6 *5*100 # ASSUMED + +Ni_wick_th = 0.05 # ASSUMED + +########################################## +# Surfaces + +fuel_or = openmc.ZCylinder(r=Fuel_OD/2) +fuel_ir = openmc.ZCylinder(r=Fuel_ID/2) + +clamps_or = openmc.ZCylinder(r=Clamps_OD/2) +clamps_ir = openmc.ZCylinder(r=Clamps_OD/2 - Clamps_th) + +vaccan_or = openmc.ZCylinder(r=Vac_can_OD/2) +vaccan_ir = openmc.ZCylinder(r=Vac_can_OD/2 - Vac_can_th) +MLI_ir = openmc.ZCylinder(r=Vac_can_OD/2 - Vac_can_th - MLI_th) + +reflec_ir = openmc.ZCylinder(r=BeO_rings_ID/2) +sleeve_or = openmc.ZCylinder(r=BeO_rings_ID/2 - gap_BeO) +sleeve_ir = openmc.ZCylinder(r=BeO_rings_ID/2 - gap_BeO - SS_sleeve_th) + +reflec_or = openmc.ZCylinder(r=BeO_rings_OD/2) +shield_ir = openmc.ZCylinder(r=SS_shield_ID/2) +shield_or = openmc.ZCylinder(r=SS_shield_OD/2, boundary_type='vacuum') + +HP_0_foil_or = openmc.ZCylinder(x0=0.0, y0=5.175, r=HP_OD/2 + Cu_foil_th) +HP_0_or = openmc.ZCylinder(x0=0.0, y0=5.175, r=HP_OD/2) +HP_0_ir = openmc.ZCylinder(x0=0.0, y0=5.175, r=HP_OD/2 - HP_th) +HP_0_wick_ir = openmc.ZCylinder(x0=0.0, y0=5.175, r=HP_OD/2 - HP_th - Ni_wick_th) + +HP_45_foil_or = openmc.ZCylinder(x0=3.659, y0=3.659, r=HP_OD/2 + Cu_foil_th) +HP_45_or = openmc.ZCylinder(x0=3.659, y0=3.659, r=HP_OD/2) +HP_45_ir = openmc.ZCylinder(x0=3.659, y0=3.659, r=HP_OD/2 - HP_th) +HP_45_wick_ir = openmc.ZCylinder(x0=3.659, y0=3.659, r=HP_OD/2 - HP_th - Ni_wick_th) + +HP_90_foil_or = openmc.ZCylinder(x0=5.175, y0=0.0, r=HP_OD/2 + Cu_foil_th) +HP_90_or = openmc.ZCylinder(x0=5.175, y0=0.0, r=HP_OD/2) +HP_90_ir = openmc.ZCylinder(x0=5.175, y0=0.0, r=HP_OD/2 - HP_th) +HP_90_wick_ir = openmc.ZCylinder(x0=5.175, y0=0.0, r=HP_OD/2 - HP_th - Ni_wick_th) + +HP_135_foil_or = openmc.ZCylinder(x0=3.659, y0=-3.659, r=HP_OD/2 + Cu_foil_th) +HP_135_or = openmc.ZCylinder(x0=3.659, y0=-3.659, r=HP_OD/2) +HP_135_ir = openmc.ZCylinder(x0=3.659, y0=-3.659, r=HP_OD/2 - HP_th) +HP_135_wick_ir = openmc.ZCylinder(x0=3.659, y0=-3.659, r=HP_OD/2 - HP_th - Ni_wick_th) + +HP_180_foil_or = openmc.ZCylinder(x0=0.0, y0=-5.175, r=HP_OD/2 + Cu_foil_th) +HP_180_or = openmc.ZCylinder(x0=0.0, y0=-5.175, r=HP_OD/2) +HP_180_ir = openmc.ZCylinder(x0=0.0, y0=-5.175, r=HP_OD/2 - HP_th) +HP_180_wick_ir = openmc.ZCylinder(x0=0.0, y0=-5.175, r=HP_OD/2 - HP_th - Ni_wick_th) + +HP_225_foil_or = openmc.ZCylinder(x0=-3.659, y0=-3.659, r=HP_OD/2 + Cu_foil_th) +HP_225_or = openmc.ZCylinder(x0=-3.659, y0=-3.659, r=HP_OD/2) +HP_225_ir = openmc.ZCylinder(x0=-3.659, y0=-3.659, r=HP_OD/2 - HP_th) +HP_225_wick_ir = openmc.ZCylinder(x0=-3.659, y0=-3.659, r=HP_OD/2 - HP_th - Ni_wick_th) + +HP_270_foil_or = openmc.ZCylinder(x0=-5.175, y0=0.0, r=HP_OD/2 + Cu_foil_th) +HP_270_or = openmc.ZCylinder(x0=-5.175, y0=0.0, r=HP_OD/2) +HP_270_ir = openmc.ZCylinder(x0=-5.175, y0=0.0, r=HP_OD/2 - HP_th) +HP_270_wick_ir = openmc.ZCylinder(x0=-5.175, y0=0.0, r=HP_OD/2 - HP_th - Ni_wick_th) + +HP_315_foil_or = openmc.ZCylinder(x0=-3.659, y0=3.659, r=HP_OD/2 + Cu_foil_th) +HP_315_or = openmc.ZCylinder(x0=-3.659, y0=3.659, r=HP_OD/2) +HP_315_ir = openmc.ZCylinder(x0=-3.659, y0=3.659, r=HP_OD/2 - HP_th) +HP_315_wick_ir = openmc.ZCylinder(x0=-3.659, y0=3.659, r=HP_OD/2 - HP_th - Ni_wick_th) + +bottom = openmc.ZPlane(z0=0, boundary_type='vacuum') +core_bottom = openmc.ZPlane(z0=Reflector_height) +core_top = openmc.ZPlane(z0=Core_length+Reflector_height) +ref_top = openmc.ZPlane(z0=Core_length+2*Reflector_height) +reflector_ring_top = openmc.ZPlane(z0=Reflector_ring_bottom+Reflector_ring_height) +reflector_ring_bottom = openmc.ZPlane(z0=Reflector_ring_bottom) +top = openmc.ZPlane(z0=50, boundary_type='vacuum') + +naxd = 24 # number of core axial divisions +hcell = Core_length/naxd +ax=[] +for c in range(naxd+1): + ax.append(openmc.ZPlane(z0=(Reflector_height+c*hcell))) + +nrngs = 24 # number of radial rings +rcell = (Fuel_OD/2 - Fuel_ID/2) / nrngs +rx=[] +for j in range(nrngs+1): + rx.append(openmc.ZCylinder(r=Fuel_ID/2 +j*rcell)) + +########################################## +# Cells + +fuel_cells = [] + +for c in range(naxd): + for j in range(nrngs): + fuel_cells.append(openmc.Cell(name='fuel a{} r{}'.format(c+1, j+1),fill=UMo,region=-rx[j+1] & +rx[j]& +HP_0_foil_or & \ + +HP_45_foil_or & +HP_90_foil_or & +HP_135_foil_or & +HP_180_foil_or & \ + +HP_225_foil_or & +HP_270_foil_or & +HP_315_foil_or & - ax[c+1] & + ax[c])) + +B4C_region = openmc.Cell(name='B4C_region',region=-fuel_ir & +bottom & -top) + +empty_top = openmc.Cell(name='empty_top', region=-fuel_or & +fuel_ir& +HP_0_foil_or & \ + +HP_45_foil_or & +HP_90_foil_or & +HP_135_foil_or & +HP_180_foil_or & \ + +HP_225_foil_or & +HP_270_foil_or & +HP_315_foil_or & \ + +ref_top & -top) + +reflector_top = openmc.Cell(name='reflector_top',fill=BeO,region=-fuel_or & +fuel_ir& +HP_0_foil_or & \ + +HP_45_foil_or & +HP_90_foil_or & +HP_135_foil_or & +HP_180_foil_or & \ + +HP_225_foil_or & +HP_270_foil_or & +HP_315_foil_or & \ + +core_top & -ref_top) + +reflector_bottom = openmc.Cell(name='reflector_bottom',fill=BeO,region=-fuel_or & +fuel_ir& +HP_0_foil_or & \ + +HP_45_foil_or & +HP_90_foil_or & +HP_135_foil_or & +HP_180_foil_or & \ + +HP_225_foil_or & +HP_270_foil_or & +HP_315_foil_or & \ + -core_bottom & +bottom) + +HP0_fld = openmc.Cell(name='HP0_fld', fill = HP_fld, region = -HP_0_wick_ir & +bottom & -top) +HP0_wck = openmc.Cell(name='HP0_wck', fill = Ni, region = +HP_0_wick_ir & -HP_0_ir & +bottom & -top) +HP0_wall = openmc.Cell(name='HP0_wall', fill = SS, region = +HP_0_ir & -HP_0_or & +bottom & -top) +HP0_foil = openmc.Cell(name='HP0_foil', fill = Cu, region = +HP_0_or & -HP_0_foil_or & +bottom & -top) + +HP45_fld = openmc.Cell(name='HP45_fld', fill = HP_fld, region = -HP_45_wick_ir & +bottom & -top) +HP45_wck = openmc.Cell(name='HP45_wck', fill = Ni, region = +HP_45_wick_ir & -HP_45_ir & +bottom & -top) +HP45_wall = openmc.Cell(name='HP45_wall', fill = SS, region = +HP_45_ir & -HP_45_or & +bottom & -top) +HP45_foil = openmc.Cell(name='HP45_foil', fill = Cu, region = +HP_45_or & -HP_45_foil_or & +bottom & -top) + +HP90_fld = openmc.Cell(name='HP90_fld', fill = HP_fld, region = -HP_90_wick_ir & +bottom & -top) +HP90_wck = openmc.Cell(name='HP90_wck', fill = Ni, region = +HP_90_wick_ir & -HP_90_ir & +bottom & -top) +HP90_wall = openmc.Cell(name='HP90_wall', fill = SS, region = +HP_90_ir & -HP_90_or & +bottom & -top) +HP90_foil = openmc.Cell(name='HP90_foil', fill = Cu, region = +HP_90_or & -HP_90_foil_or & +bottom & -top) + +HP135_fld = openmc.Cell(name='HP135_fld', fill = HP_fld, region = -HP_135_wick_ir & +bottom & -top) +HP135_wck = openmc.Cell(name='HP135_wck', fill = Ni, region = +HP_135_wick_ir & -HP_135_ir & +bottom & -top) +HP135_wall = openmc.Cell(name='HP135_wall', fill = SS, region = +HP_135_ir & -HP_135_or & +bottom & -top) +HP135_foil = openmc.Cell(name='HP135_foil', fill = Cu, region = +HP_135_or & -HP_135_foil_or & +bottom & -top) + +HP180_fld = openmc.Cell(name='HP180_fld', fill = HP_fld, region = -HP_180_wick_ir & +bottom & -top) +HP180_wck = openmc.Cell(name='HP180_wck', fill = Ni, region = +HP_180_wick_ir & -HP_180_ir & +bottom & -top) +HP180_wall = openmc.Cell(name='HP180_wall', fill = SS, region = +HP_180_ir & -HP_180_or & +bottom & -top) +HP180_foil = openmc.Cell(name='HP180_foil', fill = Cu, region = +HP_180_or & -HP_180_foil_or & +bottom & -top) + +HP225_fld = openmc.Cell(name='HP225_fld', fill = HP_fld, region = -HP_225_wick_ir & +bottom & -top) +HP225_wck = openmc.Cell(name='HP225_wck', fill = Ni, region = +HP_225_wick_ir & -HP_225_ir & +bottom & -top) +HP225_wall = openmc.Cell(name='HP225_wall', fill = SS, region = +HP_225_ir & -HP_225_or & +bottom & -top) +HP225_foil = openmc.Cell(name='HP225_foil', fill = Cu, region = +HP_225_or & -HP_225_foil_or & +bottom & -top) + +HP270_fld = openmc.Cell(name='HP270_fld', fill = HP_fld, region = -HP_270_wick_ir & +bottom & -top) +HP270_wck = openmc.Cell(name='HP270_wck', fill = Ni, region = +HP_270_wick_ir & -HP_270_ir & +bottom & -top) +HP270_wall = openmc.Cell(name='HP270_wall', fill = SS, region = +HP_270_ir & -HP_270_or & +bottom & -top) +HP270_foil = openmc.Cell(name='HP270_foil', fill = Cu, region = +HP_270_or & -HP_270_foil_or & +bottom & -top) + +HP315_fld = openmc.Cell(name='HP315_fld', fill = HP_fld, region = -HP_315_wick_ir & +bottom & -top) +HP315_wck = openmc.Cell(name='HP315_wck', fill = Ni, region = +HP_315_wick_ir & -HP_315_ir & +bottom & -top) +HP315_wall = openmc.Cell(name='HP315_wall', fill = SS, region = +HP_315_ir & -HP_315_or & +bottom & -top) +HP315_foil = openmc.Cell(name='HP315_foil', fill = Cu, region = +HP_315_or & -HP_315_foil_or & +bottom & -top) + +gap_clamp = openmc.Cell(name='gap_clamp', fill = helium , region = +fuel_or &-clamps_ir & +HP_0_foil_or & +HP_45_foil_or \ + & +HP_90_foil_or & +HP_135_foil_or & +HP_180_foil_or & +HP_225_foil_or & +HP_270_foil_or & +HP_315_foil_or \ + & +bottom & -top) + +ring_clamp = openmc.Cell(name='ring_clamp', fill = Haynes230 , region = -clamps_or &+clamps_ir & +HP_0_foil_or & +HP_45_foil_or \ + & +HP_90_foil_or & +HP_135_foil_or & +HP_180_foil_or & +HP_225_foil_or & +HP_270_foil_or & +HP_315_foil_or \ + & +bottom & -top) + +gap_vacuumcan = openmc.Cell(name='gap_vacuumcan', fill = helium, region = -MLI_ir &+clamps_or & +bottom & -top) + +MLI_region = openmc.Cell(name='MLI_region', fill = MLI, region = -vaccan_ir &+MLI_ir & +bottom & -top) + +vacuum_can = openmc.Cell(name='vacuum_can', fill = SS, region = -vaccan_or &+vaccan_ir & +bottom & -top) + +gap_sleeve = openmc.Cell(name='gap_sleeve', fill = helium, region = +vaccan_or & -sleeve_ir & +bottom & -top) + +sleeve = openmc.Cell(name='sleeve', fill = SS, region = +sleeve_ir & -sleeve_or & +bottom & -top) + +gap_reflector = openmc.Cell(name='gap_reflector', fill = helium, region = +sleeve_or & -reflec_ir & +bottom & -top) + +reflector = openmc.Cell(name='reflector', fill = BeO, region = +reflec_ir & -reflec_or & +reflector_ring_bottom & -reflector_ring_top) +reflector_ring_top = openmc.Cell(name='reflector_ring_top', fill = helium, region = +reflec_ir & -reflec_or & +reflector_ring_top & -top) +reflector_ring_bottom = openmc.Cell(name='reflector_ring_bottom', fill = SS316, region = +reflec_ir & -reflec_or & +bottom & -reflector_ring_bottom) + +gap_shield = openmc.Cell(name='gap_shield', fill = helium, region = +reflec_or & -shield_ir & +bottom & -top) + +shield = openmc.Cell(name='gap_shield', fill = SS316, region = +shield_ir & -shield_or & +bottom & -top) + + +root_univ = openmc.Universe(cells=[HP0_foil, HP0_wall, HP0_wck, HP0_fld, HP45_foil, HP45_wall, HP45_wck, HP45_fld \ + , HP90_foil, HP90_wall, HP90_wck, HP90_fld, HP135_foil, HP135_wall, HP135_wck, HP135_fld \ + , HP180_foil, HP180_wall, HP180_wck, HP180_fld, HP225_foil, HP225_wall, HP225_wck, HP225_fld \ + , HP270_foil, HP270_wall, HP270_wck, HP270_fld, HP315_foil, HP315_wall, HP315_wck, HP315_fld \ + , ring_clamp, gap_clamp, vacuum_can, MLI_region, gap_vacuumcan, gap_sleeve, sleeve, gap_reflector \ + , reflector, reflector_ring_top, reflector_ring_bottom, gap_shield, shield, B4C_region, reflector_top \ + , reflector_bottom, empty_top]) +root_univ.add_cells(fuel_cells) +geometry = openmc.Geometry(root_univ) +geometry.export_to_xml() + +################################################################################ +## Defining Settings + +settings = openmc.Settings() +settings.batches = 150 +settings.inactive = 50 +settings.particles = 100000 + +settings.temperature = {'default': 800.0, + 'method': 'interpolation', + 'range': (294.0, 3000.0), + 'tolerance': 1000.0} + +settings.export_to_xml() + +settings.source = openmc.IndependentSource(space=openmc.stats.Box([-Fuel_OD/2, -Fuel_OD/2, 20], + [ Fuel_OD/2, Fuel_OD/2, 45])) +settings.export_to_xml() + +################################################################################ +## Plotting + +p1 = openmc.Plot() +p1.filename = 'plot1' +p1.basis = 'xy' +p1.origin= (0,0,30) +p1.width = (15.0, 15.0) +p1.pixels = (4000, 4000) +p1.color_by = 'material' + +p2 = openmc.Plot() +p2.filename = 'plot2' +p2.basis = 'xz' +p2.origin= (0,0,25) +p2.width = (60.0, 60.0) +p2.pixels = (10000, 10000) +p2.color_by = 'cell' + +plots = openmc.Plots([p1, p2]) +plots.export_to_xml() diff --git a/tutorials/krusty/KRUSTY/openmc.i b/tutorials/krusty/KRUSTY/openmc.i new file mode 100644 index 000000000..aad9e68c3 --- /dev/null +++ b/tutorials/krusty/KRUSTY/openmc.i @@ -0,0 +1,151 @@ +################################################################################ +## KRUSTY ## +## Heat Pipe Microreactor Steady State ## +## ## +## Mahmoud (3/25) (openmc.i/solid.i/model03.py/krusty_scale.e) ## +################################################################################ + +power = 4000 # (W) + +[Mesh] + [fmg] + type = FileMeshGenerator + file = krusty_scale.e + [] + # [scale] + # type = TransformGenerator + # transform = SCALE + # vector_value = '0.01 0.01 0.01' + # input = fmg + # [] +[] + +[AuxVariables] + [cell_temperature] + family = MONOMIAL + order = CONSTANT + [] + [cell_in] + family = MONOMIAL + order = CONSTANT + [] + [material_id] + family = MONOMIAL + order = CONSTANT + [] +[] + +[AuxKernels] + [cell_temperature] + type = CellTemperatureAux + variable = cell_temperature + [] + [cell_in] + type = CellInstanceAux + variable = cell_in + [] + [material_id] + type = CellMaterialIDAux + variable = material_id + [] +[] + +[ICs] + [temp] + type = FunctionIC + variable = temp + function = temp_ic + [] +[] + +[Functions] + [temp_ic] + type = ConstantFunction + value = 1073 + [] +[] + +# [Problem] +# type = FEProblem +# solve = false +# [] + +[Problem] + type = OpenMCCellAverageProblem + power = ${power} + scaling = 100.0 + output = 'unrelaxed_tally_std_dev' + # temperature_blocks = 'cavity_center clamp core gap_clamp gap_ref gap_sleeve gap_vaccan mli ref_bottom ref_top sleeve vacuum_can' + temperature_blocks = '12 5 14 4 11 9 6 7 13 15 10 8' + tally_type = mesh + mesh_template = krusty_scale.e + tally_name = heat_source + cell_level = 0 + # check_zero_tallies = false + # check_equal_mapped_tally_volumes = false + # initial_properties=xml + inactive_batches = 100 # 5 # 100 + batches = 500 # 20 # 500 + # particles = 5000 + first_iteration_particles = 500000 + reuse_source = true + relaxation = dufek_gudowski + verbose= true +[] + +[MultiApps] + # active = ' ' + [solid] + type = TransientMultiApp + app_type = CardinalApp + input_files = 'solide.i' + execute_on = timestep_end + sub_cycling = true + [] +[] + +[Transfers] + [heat_source_to_solid] + type = MultiAppGeneralFieldShapeEvaluationTransfer + to_multi_app = solid + variable = power + source_variable = heat_source + [] + [temperature_to_openmc] + type = MultiAppGeneralFieldShapeEvaluationTransfer + from_multi_app = solid + variable = temp + source_variable = T + [] +[] + +[Postprocessors] + [k] + type = KEigenvalue + [] + [heat_source_integral] + type = ElementIntegralVariablePostprocessor + variable = heat_source + execute_on = 'transfer initial timestep_end' + [] + [tally_err] + type = TallyRelativeError + [] +[] + + +[Executioner] + type = Transient + dt = 5000 + + steady_state_detection = true + check_aux = true + steady_state_tolerance = 1e-06 +[] + + +[Outputs] + csv = true + exodus = true + perf_graph = true +[] diff --git a/tutorials/krusty/KRUSTY/sockeye.i b/tutorials/krusty/KRUSTY/sockeye.i new file mode 100644 index 000000000..478b1da44 --- /dev/null +++ b/tutorials/krusty/KRUSTY/sockeye.i @@ -0,0 +1,441 @@ +################################################################################ +## KRUSTY ## +## Heat Pipe Microreactor Steady State ## +## ## +## Mahmoud (3/25) (openmc.i/solid.i/sockeye.i/model03.py/krusty_scale.e) ## +################################################################################ + +# Total heat removed/added to heat pipe +Q_hp = 500.0 + +# Wick characteristics +R_pore = 15.0e-6 +D_h_pore = '${fparse 2.0 * R_pore}' +permeability = 2e-9 +porosity = 0.70 + +# Envelope ("env") +# SS316. Incropera & DeWitt, 3rd ed, Table A.1 @ 900K (627C) +# Density (kg/m3) +rho_env = 8238. +# Thermal conductivity (W/m-K) +k_env = 23.05 +# Specific heat capacity (J/kg-K) +cp_env = 589. + +# Sodium vapor +# From Appendix C of text book "Heat Pipe Design and Technology" +# Sat. Vapor Sodium at T = 800C (1073.15 K) +# Density (kg/m3) +rho_vapor = 0.134 +# Effective "super" conductivity (W/m-K) +#k_vapor = 1.0e5 # Reaches 600 seconds +k_vapor = 1.0e6 +# Specific heat capacity (J/kg-K) +cp_vapor = 9040. + +# Sodium liquid +# From Appendix C of text book "Heat Pipe Design and Technology" +# Sat. Liquid Potassium at T = 800C (1073.15 K) +# Density (kg/m3) +rho_liquid = 757.3 +# Thermal conductivity (W/m-K) +k_liquid = 57.81 +# Specific heat capacity (J/kg-K) +# From Table 1.1, no temperature data given +cp_liquid = 1380. +# Melting point, Table 3.1, lists 98C, boiling point at atm. 892C + +# Wick, homogenize envelope and fluid +# Density (kg/m3) +rho_wick = '${fparse porosity * rho_liquid + (1.0 - porosity) * rho_env}' +# Thermal conductivity (W/m-K) +k_wick = '${fparse porosity * k_liquid + (1.0 - porosity) * k_env}' +# Specific heat capacity (J/kg-K) +# From Table 1.1, no temperature data given +cp_wick = '${fparse porosity * cp_liquid + (1.0 - porosity) * cp_env}' + +# Elevations and lengths +# Note: For blackbox model -- manually update "length" input +length_evap = 68.4e-2 +length_adia = 11.4e-2 +length_cond = 34.2e-2 + +# Mesh density +# The dimensions are nicely divisible by 3 cm mesh. +nelem_base_evap = 50 +nelem_base_adia = 10 +nelem_base_cond = 30 +mesh_density = 3 +nelem_evap = '${fparse mesh_density*nelem_base_evap}' +nelem_adia = '${fparse mesh_density*nelem_base_adia}' +nelem_cond = '${fparse mesh_density*nelem_base_cond}' + +# Envelope thickness +t_env = 0.089e-2 +# Liquid annulus thickness +t_ann = 0.07e-2 +# Wick thickness +t_wick = 0.1e-2 + +# Radial geometry +# Envelope outer +R_hp_o = 1.27e-2 +D_hp_o = '${fparse 2.0 * R_hp_o}' +# Inner Envelope/outer annulus +R_hp_i = '${fparse R_hp_o - t_env}' +D_hp_i = '${fparse 2.0 * R_hp_i}' +# Inner annulus/wick outer +R_wick_o = '${fparse R_hp_i - t_ann}' +D_wick_o = '${fparse 2.0 * R_wick_o}' +# Inner wick/vapor core outer +R_wick_i = '${fparse R_wick_o - t_wick}' +D_wick_i = '${fparse 2.0 * R_wick_i}' + +# BCs for condenser +T_ext_cond = 1073. +htc_ext_cond = 1.0e6 + +# Evaporator parameters +S_evap = '${fparse pi * D_hp_o * length_evap}' +q_evap = '${fparse Q_hp / S_evap}' + + +[GlobalParams] + scaling_factor_temperature = 1e-2 + fp_2phase = fp_2phase +[] + +[FluidProperties] + [fp_2phase] + type = PotassiumTwoPhaseFluidProperties + emit_on_nan = none + [] +[] + +[Components] + [hp] + type = HeatPipeConduction + + # Common to both HeatPipe2Phase and HeatPipeBlackbox + position = '0 0 0' + orientation = '0 0 1' + length = '${length_evap} ${length_adia} ${length_cond}' + n_elems = '${nelem_evap} ${nelem_adia} ${nelem_cond}' + gravity_vector = '0 0 -9.8' + D_wick_i = ${D_wick_i} + D_wick_o = ${D_wick_o} + R_pore = ${R_pore} + porosity = ${porosity} + permeability = ${permeability} + + # HeatPipeConduction only + # Axial dimensions (for heat transfer & analytic limits) + axial_region_names = 'evap adia cond' + L_evap = ${length_evap} + L_adia = ${length_adia} + L_cond = ${length_cond} + # Radial dimensions, mesh, and materials for heat transfer problem + D_clad_o = ${D_hp_o} + D_clad_i = ${D_hp_i} + D_h_pore = ${D_h_pore} + # Mesh + n_elems_clad = 4 + n_elems_wick = 8 + n_elems_core = 10 + + # Thermal properties + sp_vapor = sp_vapor + sp_liquid = sp_wick_ann + sp_wick = sp_wick_ann + sp_clad = sp_clad + k_core = ${k_vapor} + k_eff = ${k_wick} + + fp_2phase = fp_2phase + evaporator_at_start_end = true + # Initial temperature of block + initial_T = ${T_ext_cond} + T_ref = T_inner_avg + + # To evaluate the constant properties + T_ref_density = 1000 + + make_pressure_corrections = true + [] + + [condenser_boundary] + type = HSBoundaryAmbientConvection + boundary = 'hp:cond:outer' + hs = hp + T_ambient = ${T_ext_cond} + htc_ambient = ${htc_ext_cond} #large value to approach an effective DirichletBC + # scale_pp = bc_scale_pp + scale = 1.0 + [] + [evaporator_boundary] + type = HSBoundaryExternalAppConvection + boundary = 'hp:evap:outer' + hs = hp + T_ext = virtual_Text + htc_ext = virtual_htc + [] +[] + +[SolidProperties] + [sp_vapor] + type = ThermalFunctionSolidProperties + rho = ${rho_vapor} + cp = ${cp_vapor} + k = ${k_vapor} + [] + [sp_wick_ann] + type = ThermalFunctionSolidProperties + rho = ${rho_wick} + cp = ${cp_wick} + k = ${k_wick} + [] + [sp_clad] + type = ThermalFunctionSolidProperties + rho = ${rho_env} + cp = ${cp_env} + k = ${k_env} + [] +[] + +[UserObjects] + [surf_T] + type = LayeredSideAverage + direction = z + num_layers = 100 + variable = T_solid + boundary = 'hp:evap:outer' + [] +[] + +[AuxKernels] + [hp_var] + type = SpatialUserObjectAux + variable = hp_temp_aux + user_object = surf_T + [] + [virtual_Text] + type = ParsedAux + variable = virtual_Text + coupled_variables = 'T_solid master_flux virtual_htc' + expression = 'master_flux/virtual_htc + T_solid' + [] +[] + +[Functions] + [scale_fcn] + type = ParsedFunction + symbol_names = 'catastrophic_pp recoverable_pp operational_pp' + symbol_values = 'catastrophic_pp recoverable_pp operational_pp' + expression = 'catastrophic_pp*recoverable_pp*operational_pp' + [] +[] + +[AuxVariables] + [T_wall_var] + initial_condition = ${T_ext_cond} + [] + [operational_aux] + initial_condition = 1 + [] + [master_flux] + initial_condition = ${q_evap} + [] + [hp_temp_aux] + initial_condition = ${T_ext_cond} + [] + [virtual_Text] + initial_condition = ${T_ext_cond} + [] + [virtual_htc] + initial_condition = 1.0 + [] +[] + +[Postprocessors] + [Integral_BC_Total] + type = SumPostprocessor + values = 'condenser_boundary_integral evaporator_boundary_integral' + execute_on = 'INITIAL TIMESTEP_END' + [] + [ZeroPP] + type = EmptyPostprocessor + [] + [Integral_BC_Cond] + type = DifferencePostprocessor + value1 = ZeroPP + value2 = condenser_boundary_integral + execute_on = 'INITIAL TIMESTEP_END' + [] + [Integral_BC_RelErr] + type = RelativeDifferencePostprocessor + value1 = evaporator_boundary_integral + value2 = Integral_BC_Cond + execute_on = 'INITIAL TIMESTEP_END' + [] + [bc_scale_pp] + type = FunctionValuePostprocessor + function = 1.0 + execute_on = 'INITIAL TIMESTEP_END' + [] + [operational_pp] + type = ElementAverageValue + variable = operational_aux + execute_on = 'initial timestep_begin TIMESTEP_END' + [] + # set `catastrophic_pp` as if it is recoverable for a solving to steady-state simulation + # this MUST be changed back to catestrophic in transient simulations + [catastrophic_pp] + type = HeatRemovalRateLimitScale + heat_addition_pps = 'evaporator_boundary_integral' + limit_condenser_side = false + recoverable_heat_removal_limit_pps = 'hp_boiling_limit hp_capillary_limit hp_entrainment_limit' + catastrophic_heat_removal_limit_pps = '' + T = T_inner_avg + execute_on = 'INITIAL TIMESTEP_END' + [] + [recoverable_pp] + type = HeatRemovalRateLimitScale + heat_addition_pps = 'evaporator_boundary_integral' + limit_condenser_side = false + catastrophic_heat_removal_limit_pps = '' + recoverable_heat_removal_limit_pps = 'hp_sonic_limit hp_viscous_limit' + T = T_inner_avg + execute_on = 'INITIAL linear nonlinear TIMESTEP_END' + [] + [T_evap_inner] + type = SideAverageValue + boundary = hp:evap:inner + variable = T_solid + execute_on = 'INITIAL TIMESTEP_END' + [] + [T_cond_inner] + type = SideAverageValue + boundary = hp:cond:inner + variable = T_solid + execute_on = 'INITIAL TIMESTEP_END' + [] + [T_evap_outer] + type = SideAverageValue + boundary = hp:evap:outer + variable = T_solid + execute_on = 'INITIAL TIMESTEP_END' + [] + [T_cond_outer] + type = SideAverageValue + boundary = hp:cond:outer + variable = T_solid + execute_on = 'INITIAL TIMESTEP_END' + [] + [T_wall_var_avg] + type = ElementAverageValue + variable = T_wall_var + execute_on = 'Initial timestep_end' + [] + [T_inner_avg] + type = SideAverageValue + variable = T_solid + boundary = hp:inner + execute_on = 'INITIAL TIMESTEP_END' + [] + [T_inner_max] + type = NodalExtremeValue + variable = T_solid + boundary = hp:inner + execute_on = 'INITIAL TIMESTEP_END' + [] + [T_inner_min] + type = NodalExtremeValue + variable = T_solid + boundary = hp:inner + execute_on = 'INITIAL TIMESTEP_END' + value_type = min + [] + [DT_outer] + type = DifferencePostprocessor + value1 = T_evap_outer + value2 = T_cond_outer + execute_on = 'INITIAL TIMESTEP_END' + [] + [DT_inner] + type = DifferencePostprocessor + value1 = T_evap_inner + value2 = T_cond_inner + execute_on = 'INITIAL TIMESTEP_END' + [] + [scale_pp] + type = FunctionValuePostprocessor + function = scale_fcn + [] + [A_int_master_flux] + type = SideIntegralVariablePostprocessor + variable = master_flux + boundary = 'hp:evap:inner' + execute_on = 'INITIAL TIMESTEP_END' + [] + [A_int_T_ext] + type = SideIntegralVariablePostprocessor + variable = virtual_Text + boundary = 'hp:evap:inner' + execute_on = 'INITIAL LINEAR' + [] + [A_avg_T_aux] + type = AverageNodalVariableValue + variable = hp_temp_aux + boundary = 'hp:evap:inner' + execute_on = 'INITIAL TIMESTEP_END' + [] +[] + +[VectorPostprocessors] + [env_vpp] + type = NodalValueSampler + variable = T_solid + block = 'hp:clad' + sort_by = x + execute_on = 'INITIAL TIMESTEP_END' + [] +[] + +[Preconditioning] + [pc] + type = SMP + full = true + [] +[] + +[Executioner] + type = Transient + + solve_type = NEWTON + petsc_options_iname = '-pc_type' + petsc_options_value = 'lu' + scheme = bdf2 + line_search = none + + # ensure nl_abs_tol >> nl_rel_tol + nl_abs_tol = 1e-6 + nl_rel_tol = 1e-8 + nl_max_its = 100 + + l_tol = 1e-3 + l_max_its = 100 + + dt = 100 + + # start_time = -5e4 # negative start time so we can start running from t = 0 + # end_time = 0 + # dtmin = 1 + # dt = 1000 +[] + +[Outputs] + console = false + csv = true + exodus = false +[] diff --git a/tutorials/krusty/KRUSTY/solide.i b/tutorials/krusty/KRUSTY/solide.i new file mode 100644 index 000000000..c2668f813 --- /dev/null +++ b/tutorials/krusty/KRUSTY/solide.i @@ -0,0 +1,284 @@ +################################################################################ +## KRUSTY ## +## Heat Pipe Microreactor Steady State ## +## ## +## Mahmoud (03/25) (openmc.i/solid.i/model03.py/krusty_scale.e) ## +################################################################################ + +[GlobalParams] + flux_conversion_factor =1 +[] + +[Mesh] + [fmg] + type = FileMeshGenerator + file = krusty_scale.e + [] + # [scale] + # type = TransformGenerator + # transform = SCALE + # vector_value = '0.01 0.01 0.01' + # input = fmg + # [] +[] + +[Variables] + [T] + initial_condition = 1073 + [] +[] + +[Kernels] + [heat_conduction] + type = HeatConduction + variable = T + [] + [heat_source_fuel] + type = CoupledForce + variable = T + v = power + block = 'core' + [] +[] + + +[BCs] + # [hp_temp] + # type = DirichletBC + # variable = T + # boundary = '1 2 3 4' + # value = 1073 + # [] + [hp_temp] + type = MatchedValueBC + variable = T + boundary = '1' + v = hp_temp_aux + [] + [outside] + type = CoupledConvectiveHeatFluxBC + variable = T + boundary = '5' + htc = 5e4 # W/K/m^2 + T_infinity = 343 + [] +[] + +[AuxVariables] + [power] + family = MONOMIAL + order = CONSTANT + initial_condition = 5 + block = 'core' + [] + [fuel_thermal_conductivity] + block = 'core' + order = CONSTANT + family = MONOMIAL + [] + [hp_temp_aux] + block = 'core' + initial_condition = 1073 + [] + [layered_average] + order = CONSTANT + family = MONOMIAL + [] + [flux_uo] #auxvariable to hold heat pipe surface flux from UserObject + block = 'core' + order = CONSTANT + family = MONOMIAL + [] +[] + +[AuxKernels] + [fuel_thermal_conductivity] + type = MaterialRealAux + variable = fuel_thermal_conductivity + property = thermal_conductivity + execute_on = timestep_end + [] + [layered_average] + type = SpatialUserObjectAux + variable = layered_average + execute_on = timestep_end + user_object = axial_plot + [] + [flux_aux] + type = DiffusionFluxAux + component = normal + diffusion_variable = T + diffusivity = 'thermal_conductivity' + variable = flux_uo + execute_on = linear + boundary = 1 + [] +[] + +[Materials] + [fuel_thermal] + type = HeatConductionMaterial + block = 'core' + temp = T + thermal_conductivity = 38.65 # W/m/K + [] + [helium_thermal] + type = HeatConductionMaterial + block = 'cavity_center gap_clamp gap_ref gap_sleeve gap_vaccan' + temp = T + thermal_conductivity = 1e-1 # W/m/K + [] + [reflector_thermal] + type = HeatConductionMaterial + block = 'ref_bottom ref_top' + temp = T + thermal_conductivity = 325 # W/m/K + [] + [MLI_thermal] + type = HeatConductionMaterial + block = 'MLI' + temp = T + thermal_conductivity = 138 # W/m/K + [] + [SS_thermal] + type = HeatConductionMaterial + block = 'clamp sleeve vacuum_can' + temp = T + thermal_conductivity = 16.3 # W/m/K + [] +[] + +[MultiApps] + [sockeye] + type = TransientMultiApp + app_type = SockeyeApp + positions_file = 'hp_centers.txt' + input_files = 'sockeye.i' + execute_on = 'timestep_begin' + max_procs_per_app = 1 + output_in_position = true + library_path = '/apps/herd/sockeye/sockeye-2024-02-27/lib/sockeye' + sub_cycling = true + [] +[] + +[Transfers] + [from_sockeye_temp] + type = MultiAppGeneralFieldNearestLocationTransfer + from_multi_app = sockeye + source_variable = hp_temp_aux + variable = hp_temp_aux + execute_on = 'timestep_begin' + to_boundaries = '1' + [] + [to_sockeye_flux] + type = MultiAppGeneralFieldNearestLocationTransfer + to_multi_app = sockeye + source_variable = flux_uo + variable = master_flux + execute_on = 'timestep_begin' + [] + # [to_sockeye_flux] + # type = MultiAppGeneralFieldNearestLocationTransfer + # to_multi_app = sockeye + # source_user_object = flux_UO + # variable = master_flux + # execute_on = 'timestep_begin' + # [] +[] + +[UserObjects] + [axial_plot] + type = NearestPointLayeredAverage + variable = power + num_layers = 16 + direction = z + block = 'core' + points = '0.0 0.0 0.0' + direction_min = 0.1249 + direction_max = 0.3749 + [] + # [flux_uo] + # type = NearestPointLayeredSideDiffusiveFluxAverage + # direction = z + # num_layers = 100 + # points_file = 'hp_centers.txt' + # variable = T + # diffusivity = 'thermal_conductivity' + # execute_on = linear + # boundary = '1' + # [] + [flux_UO] + type = NearestPointLayeredSideAverage + direction = z + num_layers = 100 + points_file = 'hp_centers.txt' + variable = flux_uo + execute_on = linear + boundary = '1' + [] +[] + +[Executioner] + type = Transient + dt = 1000 + + petsc_options_iname = '-pc_type -pc_hypre_type -ksp_gmres_restart ' + petsc_options_value = 'hypre boomeramg 100' + + nl_rel_tol = 1e-16 + nl_abs_tol = 1e-5 + +[] + +[Postprocessors] + [hp_heat_integral] + type = SideDiffusiveFluxIntegral + variable = T + boundary = '1' + diffusivity = thermal_conductivity + execute_on = 'initial timestep_end' + [] + [fuel_temp_avg] + type = ElementAverageValue + variable = T + block = 'core' + [] + [fuel_temp_max] + type = ElementExtremeValue + variable = T + block = 'core' + [] + [fuel_temp_min] + type = ElementExtremeValue + variable = T + block = 'core' + value_type = min + [] + [heatpipe_surface_temp_avg] + type = SideAverageValue + variable = T + boundary = 1 + [] + [power_integral] + type = ElementIntegralVariablePostprocessor + block = 'core' + variable = power + execute_on = 'timestep_end' + [] + [fuel_k] + type = ElementExtremeValue + value_type = 'max' + variable = fuel_thermal_conductivity + block = 'core' + execute_on = 'initial timestep_end' + [] +[] + +[Outputs] + perf_graph = true + exodus = true + color = true + csv = true + checkpoint = true +[] diff --git a/tutorials/krusty/meshes/KRUSTYs05v2.sat b/tutorials/krusty/meshes/KRUSTYs05v2.sat new file mode 100644 index 000000000..c2faca92b --- /dev/null +++ b/tutorials/krusty/meshes/KRUSTYs05v2.sat @@ -0,0 +1,4750 @@ +700 0 55 0 +30 Autodesk Translation Framework 20 ASM 229.9.0.65535 NT 24 Tue Jan 23 23:14:40 2024 +10 9.999999999999999547e-07 1.000000000000000036e-10 +body $55 -1 $-1 $56 $-1 $57 # 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+coedge $-1 -1 $-1 $1809 $831 $1810 $1811 forward $535 $-1 # +coedge $-1 -1 $-1 $831 $1809 $1805 $1812 reversed $535 $-1 # +coedge $1813 -1 $-1 $1807 $1814 $831 $1237 forward $1815 $-1 # +edge $-1 -1 $-1 $1816 0.5162848524562932973 $1817 1.098276183512065352 $831 $1818 forward @7 unknown # +DXID-attrib $-1 -1 $-1 $-1 $833 @10 ASM ENTITY @1 2 # +face $1819 -1 $-1 $1820 $1821 $297 $-1 $1822 forward single # +loop $-1 -1 $-1 $-1 $1823 $833 # +cone-surface $-1 -1 $-1 2.9436450293794473e-06 5.174999999999164046 0 0 0 1 0.6474999999999999645 0 0 1 I I 0 -1 0.6474999999999999645 forward I I I I # +coedge $1824 -1 $-1 $1825 $1826 $1827 $1828 reversed $834 $-1 # +ATTRIB_CUSTOM-attrib $-1 -1 $-1 $-1 $836 @17 sketch_attrib_def 1 1 3 @13 144 0 1 0 2 2 # +coedge $-1 -1 $-1 $1829 $836 $1830 $1831 forward $539 $-1 # +coedge $-1 -1 $-1 $836 $1829 $1825 $1832 reversed $539 $-1 # +coedge $1833 -1 $-1 $1827 $1834 $836 $1247 forward $1835 $-1 # +edge $-1 -1 $-1 $1836 1.301683015853742242 $1837 1.883674346909512964 $836 $1838 forward @7 unknown # 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+coedge $1864 -1 $-1 $1865 $1866 $1867 $1868 reversed $844 $-1 # +ATTRIB_CUSTOM-attrib $-1 -1 $-1 $-1 $846 @17 sketch_attrib_def 1 1 3 @13 160 0 1 0 2 2 # +coedge $-1 -1 $-1 $1869 $846 $1870 $1871 forward $547 $-1 # +coedge $-1 -1 $-1 $846 $1869 $1865 $1872 reversed $547 $-1 # +coedge $1873 -1 $-1 $1867 $1874 $846 $1267 forward $1875 $-1 # +edge $-1 -1 $-1 $1876 2.872479342648638578 $1877 3.454470673704408412 $846 $1878 forward @7 unknown # +DXID-attrib $-1 -1 $-1 $-1 $848 @10 ASM ENTITY @1 2 # +face $1879 -1 $-1 $1880 $1881 $303 $-1 $1882 forward single # +loop $-1 -1 $-1 $-1 $1883 $848 # +cone-surface $-1 -1 $-1 -3.659279674111153735 -3.659275511168428974 0 0 0 1 0.6474999999999999645 0 0 1 I I 0 -1 0.6474999999999999645 forward I I I I # +coedge $1884 -1 $-1 $1885 $1886 $1887 $1888 reversed $849 $-1 # +ATTRIB_CUSTOM-attrib $-1 -1 $-1 $-1 $851 @17 sketch_attrib_def 1 1 3 @13 168 0 1 0 2 2 # +coedge $-1 -1 $-1 $1889 $851 $1890 $1891 forward $551 $-1 # +coedge $-1 -1 $-1 $851 $1889 $1885 $1892 reversed $551 $-1 # 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