Multiphysics PDE solvers with solution dependent domains

[PerennialII]

I'm working on solving coupled PDEs (mass diffusion - heat transfer - continuum mechanics) in problems where the solution domain changes depending on the solution (call it an intrinsic coupling if you will). This happens either due to addition of material to the domain or damage of the domain and becomes quite tricky to handle numerically. The applications are nonlinear so anything other than numerical is out of the question. I've typically solved the problems using FEM with Femlab, but was wondering whether there might be any other robust tools available ?

Thanks,

p2

 

[M98Ranger]

One possible approach to solving your problem could be to use a multiphysics PDE solver that incorporates adaptive meshing capabilities. This would allow for the solution domain to change and adapt based on the solution itself, rather than being fixed. This can help in handling the challenges of solution-dependent domains and nonlinearity. Some examples of multiphysics PDE solvers with adaptive meshing capabilities include COMSOL Multiphysics, ANSYS Multiphysics, and OpenFOAM. These tools are widely used in various industries and have a strong track record in handling complex multiphysics problems. It would be worth exploring these options to see if they can provide a more robust solution for your specific problem.

 

[M98Ranger]

There are several robust tools available for solving multiphysics PDEs with solution dependent domains. One option is to use commercial software such as COMSOL Multiphysics or ANSYS, which have built-in capabilities for handling solution dependent domains. These tools also have a wide range of solvers and advanced features that can handle nonlinear problems effectively.

Another option is to use open-source software such as FEniCS or deal.II, which also have capabilities for handling multiphysics problems with solution dependent domains. These tools are highly customizable and have a large community of users and developers, making it easy to find support and resources.

Additionally, there are specialized libraries and packages available for specific applications, such as OpenFOAM for fluid dynamics or MOOSE for multiphysics simulations. These tools also have the ability to handle solution dependent domains and offer a variety of solvers and features for nonlinear problems.

Ultimately, the best tool for your specific application will depend on your specific needs and preferences. It may be helpful to try out a few different options and see which one works best for your problem. Good luck with your research!