A high-order implicit finite element method for integrating the two-fluid magnetohydrodynamic equations in two dimensions

DOI10.1016/j.jcp.2007.07.003zbMath1388.76442OpenAlexW1975519201MaRDI QIDQ2458615

Yanyan Li

Publication date: 1 November 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2007.07.003

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items

A blended continuous-discontinuous finite element method for solving the multi-fluid plasma model, Numerical simulation of four-field extended magnetohydrodynamics in dynamically adaptive curvilinear coordinates via Newton-Krylov-Schwarz, Multigrid treatment of implicit continuum diffusion, Review of implicit methods for the magnetohydrodynamic description of magnetically confined plasmas, Locally Divergence-Free Spectral-DG Methods for Ideal Magnetohydrodynamic Equations on Cylindrical Coordinates, Analysis of a mixed semi-implicit/implicit algorithm for low-frequency two-fluid plasma modeling, Fourier-spectral element approximation of the ion-electron Braginskii system with application to tokamak edge plasma in divertor configuration, Calculations of two-fluid magnetohydrodynamic axisymmetric steady-states, ADI-SGS scheme on ideal magnetohydrodynamics, A discontinuous Galerkin method for a two dimensional reduced resistive MHD model

Uses Software

• SuperLU
• M3D-C
• SEL/HiFi

Cites Work

• The SEL macroscopic modeling code
• Derivation of implicit difference schemes by the method of differential approximation
• A 2D high-\(\beta\) hall MHD implicit nonlinear solver.
• Nonlinear magnetohydrodynamics simulation using high-order finite elements.
• An implicit, nonlinear reduced resistive MHD solver
• A triangular finite element with first-derivative continuity applied to fusion MHD applications
• On an approach to integrating boundary problems with a non-unique solution
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