An HLLC Riemann solver for magneto-hydrodynamics
From MaRDI portal
Publication:706845
DOI10.1016/j.jcp.2004.08.020zbMath1299.76302OpenAlexW1970142243MaRDI QIDQ706845
Publication date: 9 February 2005
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2004.08.020
Related Items (51)
A shock-stable modification of the HLLC Riemann solver with reduced numerical dissipation ⋮ Systematic construction of upwind constrained transport schemes for MHD ⋮ A two-dimensional Riemann solver with self-similar sub-structure - alternative formulation based on least squares projection ⋮ Exploring various flux vector splittings for the magnetohydrodynamic system ⋮ A novel second-order flux splitting for ideal magnetohydrodynamics ⋮ An extension of AUFSR scheme for the ideal magnetohydrodynamics equations ⋮ Multidimensional HLLC Riemann solver for unstructured meshes -- with application to Euler and MHD flows ⋮ A stable HLLC Riemann solver for relativistic magnetohydrodynamics ⋮ A pressure-based high resolution numerical method for resistive MHD ⋮ Multidimensional Riemann problem with self-similar internal structure. I: Application to hyperbolic conservation laws on structured meshes ⋮ A 2D cell-centered Lagrangian scheme based on multi-state Riemann solver with exactly divergence-free magnetic fields ⋮ An extended HLLC Riemann solver for the magneto-hydrodynamics including strong internal magnetic field ⋮ Three dimensional HLL Riemann solver for conservation laws on structured meshes; application to Euler and magnetohydrodynamic flows ⋮ On the role of Riemann solvers in discontinuous Galerkin methods for magnetohydrodynamics ⋮ An adaptive moving mesh method for two-dimensional ideal magnetohydrodynamics ⋮ A class of structurally complete approximate Riemann solvers for trans- and supercritical flows with large gradients ⋮ A multi-dimensional HLL-Riemann solver for Euler equations of gas dynamics ⋮ A new class of high-order methods for fluid dynamics simulations using Gaussian process modeling: one-dimensional case ⋮ Globally divergence-free DG scheme for ideal compressible MHD ⋮ The HLLD Riemann solver based on magnetic field decomposition method for the numerical simulation of magneto-hydrodynamics ⋮ HLLC solver for ideal relativistic MHD ⋮ A High-Order Finite Difference WENO Scheme for Ideal Magnetohydrodynamics on Curvilinear Meshes ⋮ Recent advancement of entropy split methods for compressible gas dynamics and MHD ⋮ The piecewise cubic method (PCM) for computational fluid dynamics ⋮ Positivity-preserving entropy filtering for the ideal magnetohydrodynamics equations ⋮ A RKDG Method for 2D Lagrangian Ideal Magnetohydrodynamics Equations with Exactly Divergence-Free Magnetic Field ⋮ Multidimensional Riemann problem with self-similar internal structure. Part III: A multidimensional analogue of the HLLI Riemann solver for conservative hyperbolic systems ⋮ An upwind CESE scheme for 2D and 3D MHD numerical simulation in general curvilinear coordinates ⋮ A robust and contact resolving Riemann solver for the two-dimensional ideal magnetohydrodynamics equations ⋮ A \(4^{\mathrm{th}}\)-order accurate finite volume method for ideal classical and special relativistic MHD based on pointwise reconstructions ⋮ A variable high-order shock-capturing finite difference method with GP-WENO ⋮ \texttt{MPI-AMRVAC}: a parallel, grid-adaptive PDE toolkit ⋮ A two-dimensional HLLC Riemann solver for conservation laws: application to Euler and magnetohydrodynamic flows ⋮ A Runge-Kutta discontinuous Galerkin method for Lagrangian ideal magnetohydrodynamics equations in two-dimensions ⋮ A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: Theoretical framework ⋮ Smoothed MHD equations for numerical simulations of ideal quasi-neutral gas dynamic flows ⋮ Constraint preserving discontinuous Galerkin method for ideal compressible MHD on 2-D Cartesian grids ⋮ A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics ⋮ A high-order multi-dimensional HLL-Riemann solver for non-linear Euler equations ⋮ A robust numerical scheme for highly compressible magnetohydrodynamics: nonlinear stability, implementation and tests ⋮ Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field ⋮ A multiwave approximate Riemann solver for ideal MHD based on relaxation. II: Numerical implementation with 3 and 5 waves ⋮ SLAU2 applied to two-dimensional, ideal magnetohydrodynamics simulations ⋮ An unsplit Godunov method for ideal MHD via constrained transport ⋮ Multidimensional Riemann problem with self-similar internal structure. Part II: Application to hyperbolic conservation laws on unstructured meshes ⋮ A subluminal relativistic magnetohydrodynamics scheme with ADER-WENO predictor and multidimensional Riemann solver-based corrector ⋮ Computational Methods for Hyperbolic Equations ⋮ Shock-Capturing Schemes in Computational MHD ⋮ A characteristic-based nonconvex entropy-fix upwind scheme for the ideal magnetohydrodynamic equations ⋮ Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes ⋮ A positive MUSCL-Hancock scheme for ideal magnetohydrodynamics
Uses Software
Cites Work
- Unnamed Item
- On Godunov-type methods near low densities
- An upwind differencing scheme for the equations of ideal magnetohydrodynamics
- 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
- A high-order WENO finite difference scheme for the equations of ideal magnetohydrodynamics
- An approximate Riemann solver for ideal magnetohydrodynamics
- Restoration of the contact surface in the HLL-Riemann solver
- A positive conservative method for magnetohydrodynamics based on HLL and Roe methods
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- A solution-adaptive upwind scheme for ideal magnetohydrodynamics
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- A Higher-Order Godunov Method for Multidimensional Ideal Magnetohydrodynamics
- On the Choice of Wavespeeds for the HLLC Riemann Solver
- Efficient MHD Riemann solvers for simulations on unstructured triangular grids
- An HLLC-Type Approximate Riemann Solver for Ideal Magnetohydrodynamics
- A practical, general‐purpose, two‐state HLL Riemann solver for hyperbolic conservation laws
- Notes on the Eigensystem of Magnetohydrodynamics
This page was built for publication: An HLLC Riemann solver for magneto-hydrodynamics