Integrator for non-linear term

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Assessment

Difficulty
5/5
Estimated time
Over a week
Newbie friendliness
25/100
Issue type
Feature
Clarity
Needs clarification
Activity status
Stale
Tech stack
cpp
Domain
backend

Research direction

Start with examples/prom/nonlinear_elasticity_global_rom.cpp and the MFEM ConvectionIntegrator documentation referenced in the issue. Work out whether that integrator represents the nonlinear term div(alpha u grad u), and document or implement the appropriate ParNonlinearForm approach; done means the formulation is confirmed for the stated heat-conduction equation.

Written by the indexing model from the issue text.

Description

I'm trying to build a FOM for the non-linear heat conduction equation i.e. heat conduction equation in which the conductivity K depends on temperature. i.e. K = k0 + \alpha u where u is the temperature. Since I want it to be as close as possible to the nonlinear_elasticity_global_rom.cpp, I'd like to use a ParNonlinearForm for the term \div { \alpha u \grad u}. Is the ConvectionIntegrator the right one to use for this purpose?

Thanks,

-Nachiket

Dominant language
C++
Stars
236
Forks
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