High fidelity modeling of fusion processes

The proposed project primarily focuses on the development and analysis of efficient and reliable numerical methods for approximating conservation laws. Our main application is modeling fusion processes in tokamak reactors. These processes are mathematically modeled using the equations of Magnetohydrodynamics (MHD).

Practical fusion experiments are difficult and expensive and therefore, numerical simulations play an important role in studying the process and designing future reactors. The overall purpose of the proposed project is to develop future fusion reactors by numerical simulations.

To overcome climate change and greenhouse gas emissions while maintaining economic growth, we need clean energy generators such as fusion reactors.

The aim of this project is to propose, implement, and mathematically analyze numerical methods for modeling MHD equations and ensure that they are consistent with thermodynamic properties such as positivity for mass and internal energy and the minimum principle for entropy.

The specific goal of the proposed project is to create accurate numerical methods that work for arbitrary geometry and general computational domains so that they can be applied to real-world problems, including fusion reactors. These methods will be implemented in the FEniCS project, the open-source finite element library.