Numerical Treatment of the Nonconservative Product in a Multiscale Fluid Model for Plasmas in Thermal Nonequilibrium: Application to Solar Physics

DOI10.1137/18M1194225zbMath1439.82064arXiv1806.10436OpenAlexW4385291923MaRDI QIDQ5107792

Quentin Wargnier, Benjamin Graille, Marc Massot, Thierry E. Magin, Sylvain Faure

Publication date: 28 April 2020

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10436

zbMATH Keywords

finite volume schemesshock wavefluid modeljump conditionstraveling wavesolar physicsnonconservative producttwo-temperature plasmas

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Statistical mechanics of plasmas (82D10) Planetary atmospheres (85A20) Traveling wave solutions (35C07) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods applied to problems in statistical mechanics (82M12)

Related Items (3)

Modelling and numerical study of the polyatomic bitemperature Euler system ⋮ High order conservative Lagrangian scheme for three-temperature radiation hydrodynamics ⋮ A Discrete Velocity Numerical Scheme for the Two-Dimensional Bitemperature Euler System

Cites Work

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• A strong conservative Riemann solver for the solution of the coupled Maxwell and Navier-Stokes equations
• A mixture-energy-consistent six-equation two-phase numerical model for fluids with interfaces, cavitation and evaporation waves
• A fully-implicit finite-volume method for multi-fluid reactive and collisional magnetized plasmas on unstructured meshes
• A comment on the computation of non-conservative products
• A family of embedded Runge-Kutta formulae
• A new comment on the computation of non-conservative products using Roe-type path conservative schemes
• Transport algorithms for partially ionized and unmagnetized plasmas
• Definition and weak stability of nonconservative products
• Radiative shock solutions with grey nonequilibrium diffusion
• Radiative shock solutions in the equilibrium diffusion limit
• New Resolution Strategy for Multiscale Reaction Waves using Time Operator Splitting, Space Adaptive Multiresolution, and Dedicated High Order Implicit/Explicit Time Integrators
• Solving Ordinary Differential Equations I
• KINETIC THEORY OF PLASMAS: TRANSLATIONAL ENERGY
• Modelling and numerical approximation for the nonconservative bitemperature Euler model
• A NONCONSERVATIVE HYPERBOLIC SYSTEM MODELING SPRAY DYNAMICS. PART I: SOLUTION OF THE RIEMANN PROBLEM
• Analysis of Operator Splitting in the Nonasymptotic Regime for Nonlinear Reaction-Diffusion Equations. Application to the Dynamics of Premixed Flames
• Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
• On the Construction and Comparison of Difference Schemes

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