Calculations of two-fluid magnetohydrodynamic axisymmetric steady-states

DOI10.1016/j.jcp.2009.07.015zbMath1391.76324OpenAlexW2081171802MaRDI QIDQ733029

N. M. Ferraro, Stephen C. Jardin

Publication date: 15 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.07.015

zbMATH Keywords

simulationmagnetohydrodynamicsequilibria

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (10)

Implementation of the full viscoresistive magnetohydrodynamic equations in a nonlinear finite element code ⋮ Stabilized bi-cubic Hermite Bézier finite element method with application to gas-plasma interactions occurring during massive material injection in tokamaks ⋮ Mesh refinement for anisotropic diffusion in magnetized plasmas ⋮ Review of implicit methods for the magnetohydrodynamic description of magnetically confined plasmas ⋮ Hybrid simulation of energetic particles interacting with magnetohydrodynamics using a slow manifold algorithm and GPU acceleration ⋮ 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 ⋮ Toward textbook multigrid efficiency for fully implicit resistive magnetohydrodynamics ⋮ Stabilization of numerical interchange in spectral-element magnetohydrodynamics ⋮ Fourier-spectral element approximation of the ion-electron Braginskii system with application to tokamak edge plasma in divertor configuration

Uses Software

• FINESSE
• M3D-C
• NIMROD

Cites Work

• Unnamed Item
• Three-dimensional nonlinear incompressible MHD calculations
• Derivation of implicit difference schemes by the method of differential approximation
• Semi-implicit method for long time scale magnetohydrodynamic computations in three dimensions
• A 2D high-\(\beta\) hall MHD implicit nonlinear solver.
• Nonlinear magnetohydrodynamics simulation using high-order finite elements.
• FINESSE: Axisymmetric MHD equilibria with flow
• A triangular finite element with first-derivative continuity applied to fusion MHD applications
• A high-order implicit finite element method for integrating the two-fluid magnetohydrodynamic equations in two dimensions
• High degree efficient symmetrical Gaussian quadrature rules for the triangle
• Radial boundary layers in diffusing toroidal equilibria

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