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research-article

A high resolution wave propagation scheme for ideal Two-Fluid plasma equations

Authors:

U. ShumlakAuthors Info & Claims

Journal of Computational Physics, Volume 219, Issue 1

Pages 418 - 442

https://doi.org/10.1016/j.jcp.2006.03.036

Published: 20 November 2006 Publication History

Abstract

Algorithms for the solution of the five-moment ideal Two-Fluid equations are presented. The ideal Two-Fluid model is more general than the often used magnetohydrodynamic (MHD) model. The model takes into account electron inertia effects, charge separation and the full electromagnetic field equations and allows for separate electron and ion motion. The algorithm presented is the high resolution wave propagation method. The wave propagation method is based on solutions to the Riemann problem at cell interfaces. Operator splitting is used to incorporate the Lorentz and electromagnetic source terms. To preserve the divergence constraints on the electric and magnetic fields two different approaches are used. In the first approach Maxwell equations are rewritten in their mixed-potential form. In the second approach the so-called perfectly hyperbolic form of Maxwell equations are used which explicitly incorporate the divergence equations into the time stepping scheme. The algorithm is applied to a one-dimensional Riemann problem, ion-acoustic soliton propagation and magnetic reconnection. In each case Two-Fluid physics described by the ideal Two-Fluid model is highlighted.

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Cited By

Pu ZLiu CXu K(2024)Gas-kinetic scheme for partially ionized plasma in hydrodynamic regimeJournal of Computational Physics10.1016/j.jcp.2024.112905505:COnline publication date: 15-May-2024
https://dl.acm.org/doi/10.1016/j.jcp.2024.112905
Agnihotri JBhoriya DKumar HChandrashekhar PBalsara D(2024)Second Order Divergence Constraint Preserving Entropy Stable Finite Difference Schemes for Ideal Two-Fluid Plasma Flow EquationsJournal of Scientific Computing10.1007/s10915-024-02685-0101:2Online publication date: 5-Oct-2024
https://dl.acm.org/doi/10.1007/s10915-024-02685-0
Bhoriya DKumar HChandrashekar P(2023)High-order finite-difference entropy stable schemes for two-fluid relativistic plasma flow equationsJournal of Computational Physics10.1016/j.jcp.2023.112207488:COnline publication date: 1-Sep-2023
https://dl.acm.org/doi/10.1016/j.jcp.2023.112207
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Index Terms

A high resolution wave propagation scheme for ideal Two-Fluid plasma equations
1. Applied computing
  1. Physical sciences and engineering
    1. Mathematics and statistics
    2. Physics
2. Mathematics of computing
  1. Mathematical analysis
    1. Differential equations
      1. Ordinary differential equations
      2. Partial differential equations
    2. Numerical analysis

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Published In

cover image Journal of Computational Physics

Journal of Computational Physics Volume 219, Issue 1

20 November 2006

477 pages

ISSN:0021-9991

Issue’s Table of Contents

Copyright © Elsevier Inc.

Publisher

Academic Press Professional, Inc.

United States

Publication History

Published: 20 November 2006

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Cited By

Pu ZLiu CXu K(2024)Gas-kinetic scheme for partially ionized plasma in hydrodynamic regimeJournal of Computational Physics10.1016/j.jcp.2024.112905505:COnline publication date: 15-May-2024
https://dl.acm.org/doi/10.1016/j.jcp.2024.112905
Agnihotri JBhoriya DKumar HChandrashekhar PBalsara D(2024)Second Order Divergence Constraint Preserving Entropy Stable Finite Difference Schemes for Ideal Two-Fluid Plasma Flow EquationsJournal of Scientific Computing10.1007/s10915-024-02685-0101:2Online publication date: 5-Oct-2024
https://dl.acm.org/doi/10.1007/s10915-024-02685-0
Bhoriya DKumar HChandrashekar P(2023)High-order finite-difference entropy stable schemes for two-fluid relativistic plasma flow equationsJournal of Computational Physics10.1016/j.jcp.2023.112207488:COnline publication date: 1-Sep-2023
https://dl.acm.org/doi/10.1016/j.jcp.2023.112207
Bhoriya DBiswas BKumar HChandrashekhar P(2023)Entropy Stable Discontinuous Galerkin Schemes for Two-Fluid Relativistic Plasma Flow EquationsJournal of Scientific Computing10.1007/s10915-023-02387-z97:3Online publication date: 6-Nov-2023
https://dl.acm.org/doi/10.1007/s10915-023-02387-z
Crockatt MMabuza SShadid JConde SSmith TPawlowski R(2022)An implicit monolithic AFC stabilization method for the CG finite element discretization of the fully-ionized ideal multifluid electromagnetic plasma systemJournal of Computational Physics10.1016/j.jcp.2022.111228464:COnline publication date: 1-Sep-2022
https://dl.acm.org/doi/10.1016/j.jcp.2022.111228
Meena AKumar H(2022)Robust numerical schemes for Two-Fluid Ten-Moment plasma flow equationsZeitschrift für Angewandte Mathematik und Physik (ZAMP)10.1007/s00033-018-1061-370:1(1-30)Online publication date: 11-Mar-2022
https://dl.acm.org/doi/10.1007/s00033-018-1061-3
Strumik MStasiewicz K(2017)Multidimensional Hall magnetohydrodynamics with isotropic or anisotropic thermal pressureJournal of Computational Physics10.1016/j.jcp.2016.10.058330:C(846-862)Online publication date: 1-Feb-2017
https://dl.acm.org/doi/10.1016/j.jcp.2016.10.058
Balsara DAmano TGarain SKim J(2016)A high-order relativistic two-fluid electrodynamic scheme with consistent reconstruction of electromagnetic fields and a multidimensional Riemann solver for electromagnetismJournal of Computational Physics10.1016/j.jcp.2016.05.006318:C(169-200)Online publication date: 1-Aug-2016
https://dl.acm.org/doi/10.1016/j.jcp.2016.05.006
Alvarez Laguna ALani ADeconinck HMansour NPoedts S(2016)A fully-implicit finite-volume method for multi-fluid reactive and collisional magnetized plasmas on unstructured meshesJournal of Computational Physics10.1016/j.jcp.2016.04.058318:C(252-276)Online publication date: 1-Aug-2016
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Amano T(2015)Divergence-free approximate Riemann solver for the quasi-neutral two-fluid plasma modelJournal of Computational Physics10.1016/j.jcp.2015.07.035299:C(863-886)Online publication date: 15-Oct-2015
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