MAPS: The MFEM Anisotropic Plasma Solver

Simulating magnetically confined fusion plasmas presents a uniquely challenging problem due to the nonlinear anisotropic heat conduction. We introduce the MAPS (MFEM Anisotropic Plasma Solver) tool, which uses a high-order finite element method to compute transport solutions on unstructured meshes. We show results for a set of three 2-D verification tests, two of which demonstrate the expected convergence properties for various mesh resolutions and polynomial degrees. We then discuss the convergence rate for the third test.

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Publication Details

Journal
EPJ Web of Conferences
Published
2026-01-01
DOI
https://doi.org/10.1051/epjconf/202634601025
Primary Topic
Advanced Numerical Methods in Computational Mathematics
Type
article
Field-Weighted Citation Impact
0.00

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article

MAPS: The MFEM Anisotropic Plasma Solver

Cory D. Hauck, Olena Burkovska, Rhea Barnett, Jeremy D. Lore et al.
EPJ Web of Conferences
Advanced Numerical Methods in Computational Mathematics
article

MAPS: The MFEM Anisotropic Plasma Solver

Cory D. Hauck, Olena Burkovska, Rhea Barnett, Jeremy D. Lore, Mark Stowell, Christina Migliore, Ben Dudson
article en

Abstract

Simulating magnetically confined fusion plasmas presents a uniquely challenging problem due to the nonlinear anisotropic heat conduction. We introduce the MAPS (MFEM Anisotropic Plasma Solver) tool, which uses a high-order finite element method to compute transport solutions on unstructured meshes. We show results for a set of three 2-D verification tests, two of which demonstrate the expected convergence properties for various mesh resolutions and polynomial degrees. We then discuss the convergence rate for the third test.

EPJ Web of ConferencesVol. 346
Lawrence Livermore National Laboratory (US), Oak Ridge National Laboratory (US), Massachusetts Institute of Technology (US)
U.S. Department of Energy, Battelle, UT-Battelle, Fusion Energy Sciences
Openalex Percentile: Top 96%
Advanced Numerical Methods in Computational Mathematics
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