On a class of two-dimensional incomplete Riemann solvers
DOI10.1016/j.jcp.2019.02.034zbMath1452.76114arXiv1811.05188OpenAlexW2901433514MaRDI QIDQ2218601
José M. Gallardo, Kleiton A. Schneider, Manuel J. Castro
Publication date: 15 January 2021
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.05188
hyperbolic systemsmagnetohydrodynamicsmultidimensional Riemann solversincomplete Riemann solversdivergence cleaning
Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Magnetohydrodynamics and electrohydrodynamics (76W05) First-order hyperbolic systems (35L40) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (8)
Uses Software
Cites Work
- Unnamed Item
- Multidimensional HLLC Riemann solver for unstructured meshes -- with application to Euler and MHD flows
- A simple two-dimensional extension of the HLL Riemann solver for hyperbolic systems of conservation laws
- A class of incomplete Riemann solvers based on uniform rational approximations to the absolute value function
- Locally divergence-free discontinuous Galerkin methods for MHD equations
- Approximate Osher-Solomon schemes for hyperbolic systems
- Splitting based finite volume schemes for ideal MHD equations
- A characteristic-based nonconvex entropy-fix upwind scheme for the ideal magnetohydrodynamic equations
- An upwind differencing scheme for the equations of ideal magnetohydrodynamics
- 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
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- Hyperbolic divergence cleaning for the MHD equations
- Jacobian-free approximate solvers for hyperbolic systems: application to relativistic magnetohydrodynamics
- A solution-adaptive upwind scheme for ideal magnetohydrodynamics
- A two-dimensional HLLE Riemann solver and associated Godunov-type difference scheme for gas dynamics
- Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows
- A two-dimensional HLLC Riemann solver for conservation laws: application to Euler and magnetohydrodynamic flows
- Rational approximation to \(|x|\)
- Relation between PVM schemes and simple Riemann solvers
- Multidimensional Upwinding
- A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods
- Conjecture on the Structure of Solutions of the Riemann Problem for Two-Dimensional Gas Dynamics Systems
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- Polynomial upwind schemes for hyperbolic systems
- Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
- A Higher-Order Godunov Method for Multidimensional Ideal Magnetohydrodynamics
- Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
- Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations
- On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws
- Rational Iterative Methods for the Matrix Sign Function
- Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
- A Two-Dimensional Version of the Godunov Scheme for Scalar Balance Laws
- A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics
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