Splitting based finite volume schemes for ideal MHD equations
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Publication:1000930
DOI10.1016/j.jcp.2008.09.027zbMath1259.76021OpenAlexW2070234115MaRDI QIDQ1000930
Nils Henrik Risebro, Franz G. Fuchs, Siddhartha Mishra
Publication date: 12 February 2009
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2008.09.027
Finite volume methods applied to problems in fluid mechanics (76M12) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Cites Work
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- A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- Approximate Riemann solvers, parameter vectors, and difference schemes
- A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
- A simple finite difference scheme for multidimensional magnetohydrodynamical equations
- Roe matrices for ideal MHD and systematic construction of Roe matrices for systems of conservation laws
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- A solution-adaptive upwind scheme for ideal magnetohydrodynamics
- A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: Theoretical framework
- Semi-Godunov schemes for general triangular systems of conservation laws
- A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics
- On Godunov-Type Methods for Gas Dynamics
- Finite Volume Methods for Hyperbolic Problems
- An HLLC-Type Approximate Riemann Solver for Ideal Magnetohydrodynamics
- Constraint-Preserving Upwind Methods for Multidimensional Advection Equations
- Notes on the Eigensystem of Magnetohydrodynamics
- Locally Divergence-preserving Upwind Finite Volume Schemes for Magnetohydrodynamic Equations
- Convergence of locally divergence-free discontinuous-Galerkin methods for the induction equations of the 2D-MHD system
