Thermal Stresses

[aelligp]

This adds thermal stresses according to the implementation of Kiss et al. (2023)

$$\frac{\partial P^{\textrm{tr}}}{\partial \omega} = - \frac{\partial v_{\textrm{k}}}{\partial x_{\textrm{k}}} + \alpha \frac{dT}{dt} + \beta \frac{P^{\textrm{tr}} - P^{\textrm{old}}}{dt}$$

Few issues persist:

• We don't solve for density the same way they did

$$\rho = \rho^{\textrm{old}} \exp(-\frac{\partial{v_k}}{\partial{x_k}} dt)$$

[codecov-commenter]

Codecov Report

Attention: Patch coverage is 83.33333% with 8 lines in your changes are missing coverage. Please review.

Files	Patch %	Lines
src/boundaryconditions/BoundaryConditions.jl	71.42%	2 Missing ⚠️
src/rheology/GeoParams.jl	75.00%	2 Missing ⚠️
src/stokes/PressureKernels.jl	88.23%	2 Missing ⚠️
src/thermal_diffusion/DiffusionPT.jl	50.00%	2 Missing ⚠️

Additional details and impacted files

📢 Thoughts on this report? Let us know!

[aelligp]

Currently, the thermal stresses only work for incompressible rheologies and no free surface in the model setup.

[boriskaus]

I don’t understand why a free surface should affect this. Can you elaborate?

[aelligp]

First look at the 3D setup of thermal stresses with a resolution of 128^3 after 6 time steps.

$$\tau_{\textrm{II}}$$

[albert-de-montserrat]

Looks great thanks!