VHTR.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "s8q2_PI6vJDd",
    "outputId": "b4a99b1c-90b1-4484-bb73-ed358a0d9b2b"
   },
   "source": [
    "# A VHTR geometry \n",
    "This notebook can be used as a template for modeling VHTR reactors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "id": "ztdDaVCavN_I"
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import openmc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "Ran-jogzvQvC",
    "outputId": "422e9494-2575-4625-c4c1-20a55a442142"
   },
   "outputs": [],
   "source": [
    "# Materials definitions\n",
    "\n",
    "fuel = openmc.Material(name='Fuel')\n",
    "fuel.add_element('U', 1.0, enrichment=4.0)\n",
    "fuel.add_nuclide('O16', 2.0)\n",
    "fuel.set_density('g/cm3', 10.41)\n",
    "\n",
    "buffer = openmc.Material(name='Buffer')\n",
    "buffer.add_element('C', 1.0)\n",
    "buffer.set_density('g/cm3', 0.95)\n",
    "buffer.add_s_alpha_beta('c_Graphite')\n",
    "\n",
    "IPyC = openmc.Material(name='Inner PyC')\n",
    "IPyC.add_element('C', 1.0)\n",
    "IPyC.set_density('g/cm3', 1.9)\n",
    "IPyC.add_s_alpha_beta('c_Graphite')\n",
    "\n",
    "SiC = openmc.Material(name = \"SiC\")\n",
    "SiC.add_element(\"Si\", 0.5)\n",
    "SiC.add_element(\"C\", 0.5)\n",
    "SiC.set_density(\"g/cm3\", 3.18)\n",
    "\n",
    "OPyC = openmc.Material(name='Outer PyC')\n",
    "OPyC.add_element('C', 1.0)\n",
    "OPyC.set_density('g/cm3', 1.9)\n",
    "OPyC.add_s_alpha_beta('c_Graphite')\n",
    "\n",
    "graphite = openmc.Material(name='Graphite')\n",
    "graphite.add_element('C', 1.0)\n",
    "graphite.set_density('g/cm3', 1.7)\n",
    "graphite.add_s_alpha_beta('c_Graphite')\n",
    "\n",
    "helium = openmc.Material(name='Helium')\n",
    "helium.add_element('He', 1.0)\n",
    "helium.set_density('g/cm3', 0.000166)\n",
    "\n",
    "b4c = openmc.Material(name='B4C Poison')\n",
    "b4c.add_element('B', 4.0, enrichment=18.7, enrichment_target='B10', enrichment_type='wo')\n",
    "b4c.add_element('C', 1.0)\n",
    "b4c.set_density('g/cm3', 1.82)\n",
    "\n",
    "# Instantiate a Materials collection and export to xml\n",
    "materials_list = [fuel, buffer, IPyC, SiC, OPyC, graphite, helium, b4c]\n",
    "materials_file = openmc.Materials(materials_list)\n",
    "materials_file.export_to_xml()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 282
    },
    "id": "OU_alkFfwVGd",
    "outputId": "7c06ff69-2077-456e-b860-9b385465151f"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1307ec400>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Geometry definitions for TRISO particles\n",
    "\n",
    "kernelsph = openmc.Sphere(r=250e-4)\n",
    "buffsph = openmc.Sphere(r=350e-4)\n",
    "IPyCsph = openmc.Sphere(r=390e-4)\n",
    "SiCsph = openmc.Sphere(r=425e-4)\n",
    "OPyCsph = openmc.Sphere(r=470e-4)\n",
    "\n",
    "layers = [kernelsph, buffsph, IPyCsph, SiCsph, OPyCsph]\n",
    "triso_mats = [fuel, buffer, IPyC, SiC, OPyC]\n",
    "triso_cells = []\n",
    "for i in range(5):\n",
    "  if (i == 0):\n",
    "    triso_cells.append(openmc.Cell(fill=triso_mats[0], region=-layers[0]))\n",
    "  else:\n",
    "    triso_cells.append(openmc.Cell(fill=triso_mats[i], region=+layers[i-1] & -layers[i]))\n",
    "\n",
    "triso_universe = openmc.Universe(cells=triso_cells)\n",
    "triso_colors = {triso_cells[0]: (0.78, 0.2, 0.2), triso_cells[1]: (0.69, 0.89, 0.29), \n",
    "                triso_cells[2]: (0.29, 0.73, 0.47), triso_cells[3]: (0.12, 0.29, 0.42), \n",
    "                triso_cells[4]: (0.29, 0.73, 0.47)}\n",
    "triso_universe.plot(width = (0.1, 0.1), colors = triso_colors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "iRZUbB1uqld6",
    "outputId": "371a1ccc-3603-447a-8721-2c0090b2448c"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[Cell\n",
      "\tID             =\t1\n",
      "\tName           =\t\n",
      "\tFill           =\tMaterial 1\n",
      "\tRegion         =\t-1\n",
      "\tRotation       =\tNone\n",
      "\tTemperature    =\tNone\n",
      "\tTranslation    =\tNone\n",
      "\tVolume         =\tNone\n",
      ", Cell\n",
      "\tID             =\t2\n",
      "\tName           =\t\n",
      "\tFill           =\tMaterial 2\n",
      "\tRegion         =\t(1 -2)\n",
      "\tRotation       =\tNone\n",
      "\tTemperature    =\tNone\n",
      "\tTranslation    =\tNone\n",
      "\tVolume         =\tNone\n",
      ", Cell\n",
      "\tID             =\t3\n",
      "\tName           =\t\n",
      "\tFill           =\tMaterial 3\n",
      "\tRegion         =\t(2 -3)\n",
      "\tRotation       =\tNone\n",
      "\tTemperature    =\tNone\n",
      "\tTranslation    =\tNone\n",
      "\tVolume         =\tNone\n",
      ", Cell\n",
      "\tID             =\t4\n",
      "\tName           =\t\n",
      "\tFill           =\tMaterial 4\n",
      "\tRegion         =\t(3 -4)\n",
      "\tRotation       =\tNone\n",
      "\tTemperature    =\tNone\n",
      "\tTranslation    =\tNone\n",
      "\tVolume         =\tNone\n",
      ", Cell\n",
      "\tID             =\t5\n",
      "\tName           =\t\n",
      "\tFill           =\tMaterial 5\n",
      "\tRegion         =\t(4 -5)\n",
      "\tRotation       =\tNone\n",
      "\tTemperature    =\tNone\n",
      "\tTranslation    =\tNone\n",
      "\tVolume         =\tNone\n",
      "]\n"
     ]
    }
   ],
   "source": [
    "print(triso_cells)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "id": "9ZjOD3umK-RO"
   },
   "outputs": [],
   "source": [
    "# Generating TRISO particle lattice in cylindrical pin cell\n",
    "\n",
    "cylsurf = openmc.ZCylinder(r=0.6225)\n",
    "maxz = openmc.ZPlane(z0=1.95, boundary_type='reflective')\n",
    "minz = openmc.ZPlane(z0=-1.95, boundary_type='reflective')\n",
    "\n",
    "lattice_region = -cylsurf & -maxz & +minz\n",
    "triso_outer_radius = 465e-4\n",
    "spheres = openmc.model.pack_spheres(radius=triso_outer_radius, region=lattice_region, pf=0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "id": "u7tWPGkaQaPP"
   },
   "outputs": [],
   "source": [
    "triso_particles = [openmc.model.TRISO(triso_outer_radius, fill=triso_universe, center=c) for c in spheres]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "OIyhbji9Rvzr",
    "outputId": "4f4e84a2-0b07-4318-c1b6-1b1f55a1a232"
   },
   "outputs": [],
   "source": [
    "vol_triso = 4/3 * 3.14 * triso_outer_radius**3 * len(triso_particles)\n",
    "actual_pf = vol_triso/(3.14 * (0.6225) ** 2 * 3.9)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "id": "2Z8EXBSgR_yq"
   },
   "outputs": [],
   "source": [
    "lattice_cell = openmc.Cell(region=lattice_region)\n",
    "lower_left, upp_right = lattice_cell.region.bounding_box\n",
    "shape = (4, 4, 4)\n",
    "pitch = (upp_right - lower_left)/shape\n",
    "triso_latt = openmc.model.create_triso_lattice(triso_particles, lower_left, pitch, shape, graphite)\n",
    "lattice_cell.fill = triso_latt\n",
    "\n",
    "lattice_universe = openmc.Universe(cells=[lattice_cell])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 282
    },
    "id": "8S3JIn-x9doF",
    "outputId": "da1312f4-92c6-4100-97a2-66af845295f7"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x13148e460>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lattice_universe.plot(width=(1.4,1.4))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 282
    },
    "id": "yTqFsu7U9Pmf",
    "outputId": "ebd66100-aa13-452b-912a-a1fed9e964f5"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1314f5280>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lattice_universe.plot(width=(1.4,1.4), color_by='material', colors = {graphite: (0.08, 0.09, 0.26)})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "j3_6A6g-L_d4"
   },
   "source": [
    "**Testing Pin Cell Embedded In Graphite Block**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "id": "t80buCTqL-84"
   },
   "outputs": [],
   "source": [
    "hexaregion = openmc.model.hexagonal_prism(edge_length = 0.85, orientation = 'x', boundary_type='reflective')\n",
    "\n",
    "outer_region = hexaregion & +cylsurf & -maxz & +minz\n",
    "outer_pin_cell = openmc.Cell(fill=graphite, region = outer_region)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "id": "ho_e-y7Cgi_q"
   },
   "outputs": [],
   "source": [
    "pin_cell_universe = openmc.Universe(cells=[lattice_cell, outer_pin_cell])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 282
    },
    "id": "76wi7ezZgoHj",
    "outputId": "55590ede-ff67-4a78-96d2-87d902b2c366"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x13154bbe0>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pin_cell_universe.plot(width=(1.8, 1.8), color_by='cell', colors = {outer_pin_cell: (0.08, 0.09, 0.26)})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "jJasUqJAhn_e"
   },
   "source": [
    "As expected, the outside hexagonal block and the non-triso area of the pin cell are both filled with graphite:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 282
    },
    "id": "SnF1LEnihncs",
    "outputId": "f9671980-db4b-4ce0-99a4-867aa59fe5d9"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1315ac880>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pin_cell_universe.plot(width=(1.9, 1.9), color_by='material', colors = {graphite: (0.08, 0.09, 0.26), fuel: (1, 0.86, 0.57)})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "Mp8W0NWEhzhZ",
    "outputId": "2204e776-fed4-4007-a05d-cba6acb11789"
   },
   "outputs": [],
   "source": [
    "geom = openmc.Geometry(pin_cell_universe)\n",
    "geom.export_to_xml()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "OKwVl93-GboP"
   },
   "source": [
    "**Creating Coolant Channels/Cells (Helium fill)**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "id": "lLnEBbE3aJqa"
   },
   "outputs": [],
   "source": [
    "small_coolant_surf = openmc.ZCylinder(r=0.6375)\n",
    "big_coolant_surf = openmc.ZCylinder(r=0.79375)\n",
    "\n",
    "small_coolant_cell = openmc.Cell(region=-small_coolant_surf & -maxz & +minz, fill=helium)\n",
    "big_coolant_cell = openmc.Cell(region=-big_coolant_surf & -maxz & +minz, fill=helium)\n",
    "\n",
    "outside_small_cell = openmc.Cell(region=+small_coolant_surf & -maxz & +minz, fill=graphite)\n",
    "outside_big_cell = openmc.Cell(region=+big_coolant_surf & -maxz & +minz, fill=graphite)\n",
    "\n",
    "small_coolant_universe = openmc.Universe(cells=[small_coolant_cell, outside_small_cell])\n",
    "big_coolant_universe = openmc.Universe(cells=[big_coolant_cell, outside_big_cell])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "2wVWLYBZAJdL"
   },
   "source": [
    "**Burnable Poison Rod Geometry**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 286
    },
    "id": "aJnsdDgr7KeF",
    "outputId": "f73b7161-dd64-49db-cd48-cde093cb4af9"
   },
   "outputs": [],
   "source": [
    "poison_surf = openmc.ZCylinder(r=0.6375)\n",
    "poison_cell = openmc.Cell(region=-poison_surf & -maxz & +minz, fill=b4c)\n",
    "outside_poison_cell = openmc.Cell(region=+poison_surf & -maxz & +minz, fill=graphite)\n",
    "\n",
    "poison_universe = openmc.Universe(cells=[poison_cell, outside_poison_cell])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "FSEppy7-wB1-"
   },
   "source": [
    "**Defining Material Outside Pin Cell For Use in Assemblies**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "id": "ijZDqnyY7Y2f"
   },
   "outputs": [],
   "source": [
    "outer_pin_region = +cylsurf & -maxz & +minz\n",
    "outer_pin_cell = openmc.Cell(fill=graphite, region=outer_pin_region)\n",
    "\n",
    "total_pin_cell_universe = openmc.Universe(cells=[lattice_cell, outer_pin_cell])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 282
    },
    "id": "s-DGB0Nf8guO",
    "outputId": "355536e5-e765-4900-9c97-e2ed00503f8f"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1315d6fd0>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "total_pin_cell_universe.plot(width=(1.9, 1.9), color_by='material', colors = {graphite: (0.08, 0.09, 0.26)})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "LfIatUoiIeSa"
   },
   "source": [
    "**Constructing Geometry of Hexagonal Fuel Assembly**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "id": "gxixGDvIIXnH"
   },
   "outputs": [],
   "source": [
    "outer_graphite_cell = openmc.Cell(fill=graphite)\n",
    "outer_graphite_universe = openmc.Universe(cells=[outer_graphite_cell])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "id": "0lt1V5rQJFlY"
   },
   "outputs": [],
   "source": [
    "assemblylat = openmc.HexLattice(name=\"Assembly\")\n",
    "assemblylat.outer = outer_graphite_universe\n",
    "assemblylat.pitch = (1.9,)\n",
    "assemblylat.center = (0.0, 0.0)\n",
    "assemblylat.orientation = 'x'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "id": "6NyajaT_Dhdf"
   },
   "outputs": [],
   "source": [
    "def repeat_lat_element(n, pad_left, pad_right):\n",
    "  ring = []\n",
    "  for i in range(6):\n",
    "    ring += pad_left\n",
    "    for i in range(n):\n",
    "      ring.extend([total_pin_cell_universe]*2 + [big_coolant_universe])\n",
    "    ring += pad_right\n",
    "\n",
    "  return ring"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "id": "eMfy_09gPIjE"
   },
   "outputs": [],
   "source": [
    "def build_outer_ring(n, insert_poison_rod):\n",
    "  REPEAT_SECTION = 2\n",
    "  ring = []\n",
    "\n",
    "  # burnable poison rods sides\n",
    "  poisonring = []\n",
    "  poisonring += [insert_poison_rod] + [total_pin_cell_universe] + [big_coolant_universe]\n",
    "  for i in range(REPEAT_SECTION):\n",
    "      poisonring.extend([total_pin_cell_universe]*2 + [big_coolant_universe])\n",
    "  poisonring += [total_pin_cell_universe]\n",
    "\n",
    "  # normal sides\n",
    "  base = []\n",
    "  base += [outer_graphite_universe] + [total_pin_cell_universe] + [big_coolant_universe]\n",
    "  for i in range(REPEAT_SECTION):\n",
    "      base.extend([total_pin_cell_universe]*2 + [big_coolant_universe])\n",
    "  base += [total_pin_cell_universe]\n",
    "\n",
    "  ring.extend(poisonring * n + base * (6 - n))\n",
    "\n",
    "  return ring"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "id": "vygU8F5vLG2x"
   },
   "outputs": [],
   "source": [
    "def build_all_rings(insert_poison_rod):\n",
    "  rings = []\n",
    "\n",
    "  outer_ring = build_outer_ring(2, insert_poison_rod)\n",
    "  rings.append(outer_ring)\n",
    "\n",
    "  for i in range(1, 8): # rings 1 through 7\n",
    "    ring_left = []\n",
    "    ring_right = []\n",
    "    if (i % 3 == 1):\n",
    "      ring_left = [big_coolant_universe]\n",
    "      ring_right = [total_pin_cell_universe]*2\n",
    "    elif (i % 3 == 2):\n",
    "      ring_left = [total_pin_cell_universe] + [big_coolant_universe]\n",
    "    else:\n",
    "      ring_right = [total_pin_cell_universe]\n",
    "\n",
    "    n = 0\n",
    "    if (i <= 3):\n",
    "      n = 2\n",
    "    elif (i <= 6):\n",
    "      n = 1\n",
    "    else:\n",
    "      n = 0\n",
    "    \n",
    "    cur_ring = repeat_lat_element(n, ring_left, ring_right)\n",
    "    rings.append(cur_ring)\n",
    "\n",
    "  inner_ring = []\n",
    "  for i in range(6):\n",
    "    inner_ring.extend([total_pin_cell_universe] + [small_coolant_universe])\n",
    "  rings.append(inner_ring)\n",
    "  rings.append([outer_graphite_universe]*6)\n",
    "  rings.append([outer_graphite_universe])\n",
    "\n",
    "  return rings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "id": "KAqeuKY2j19E"
   },
   "outputs": [],
   "source": [
    "rings = build_all_rings(poison_universe)\n",
    "assemblylat.universes = rings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "id": "LZWflaDwla6d"
   },
   "outputs": [],
   "source": [
    "assembly_surf = openmc.model.hexagonal_prism(edge_length=21, orientation='x', boundary_type='reflective')\n",
    "assembly_cell = openmc.Cell(fill=assemblylat, region=assembly_surf & +minz & -maxz)\n",
    "assembly_universe = openmc.Universe(cells=[assembly_cell])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 282
    },
    "id": "iMr7NMMTs6kT",
    "outputId": "a1ece088-efa8-4cc1-da2a-258fbe0ac6d6"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x131f72490>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "assembly_universe.plot(width=(42, 42), color_by='material', colors={helium: (0.99, 0, 0.27), graphite: (0.08, 0.09, 0.26), b4c:  (1, 0.85, 0.1)})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "pIFgdKfmyY7b",
    "outputId": "b3e9bf24-0450-47ad-9430-023413ec58f6"
   },
   "outputs": [],
   "source": [
    "geom = openmc.Geometry(assembly_universe)\n",
    "geom.export_to_xml()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "id": "RUFinDv9-4AH"
   },
   "outputs": [],
   "source": [
    "# OpenMC simulation parameters\n",
    "\n",
    "batches = 100\n",
    "inactive = 10\n",
    "particles = 5000\n",
    "\n",
    "settings_file = openmc.Settings()\n",
    "settings_file.batches = batches\n",
    "settings_file.inactive = inactive\n",
    "settings_file.particles = particles\n",
    "settings_file.output = {'tallies': True}\n",
    "\n",
    "bounds = [-5, -5, -0.63, 5, 5, 0.63]\n",
    "uniform_dist = openmc.stats.Box(bounds[:3], bounds[3:], only_fissionable=True)\n",
    "settings_file.source = openmc.Source(space=uniform_dist)\n",
    "\n",
    "settings_file.export_to_xml()"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "collapsed_sections": [],
   "name": "VHTR.ipynb",
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}