Roe-type schemes for shallow water magnetohydrodynamics with hyperbolic divergence cleaning
From MaRDI portal
Publication:668375
DOI10.1016/j.amc.2015.05.079zbMath1410.76238arXiv1410.1427OpenAlexW1805466532MaRDI QIDQ668375
Publication date: 19 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.1427
finite-volume schemesdivergence cleaninggeneralized Lagrange multipliernonconservative PDEshallow water MHD
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)
Related Items (max. 100)
High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics ⋮ An entropy stable finite volume scheme for the equations of shallow water magnetohydrodynamics ⋮ A roe-like numerical method for weakly hyperbolic systems of equations in conservation and non-conservation form ⋮ A new S-M limiter entropy stable scheme based on moving mesh method for ideal MHD and SWMHD equations ⋮ Editorial: Preface to the special issue ``Recent advances in numerical methods for hyperbolic partial differential equations ⋮ A simple robust and accurate \textit{a posteriori} sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the origin of divergence errors in MHD simulations and consequences for numerical schemes
- Splitting based finite volume schemes for ideal MHD equations
- A positive MUSCL-Hancock scheme for ideal magnetohydrodynamics
- Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
- High resolution schemes for hyperbolic conservation laws
- A method for incorporating Gauss' law into electromagnetic PIC codes
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- Approximate Riemann solvers, parameter vectors, and difference schemes
- A weak formulation of Roe's approximate Riemann solver
- A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
- Divergence correction techniques for Maxwell solvers based on a hyperbolic model
- Hyperbolic divergence cleaning for the MHD equations
- An unsplit, cell-centered Godunov method for ideal MHD
- A solution-adaptive upwind scheme for ideal magnetohydrodynamics
- Quasilinear hyperbolic systems with involutions
- Application of space-time CE/SE method to shallow water magnetohydrodynamic equations
- Constraint preserving schemes using potential-based fluxes. III. Genuinely multi-dimensional schemes for MHD equations
- Constraint Preserving Schemes Using Potential-Based Fluxes. II. Genuinely Multidimensional Systems of Conservation Laws
- A comparative study of TVD-limiters-well-known limiters and an introduction of new ones
- Stable upwind schemes for the magnetic induction equation
- An Unstaggered, High‐Resolution Constrained Transport Method for Magnetohydrodynamic Flows
- On Godunov-Type Methods for Gas Dynamics
- Maxwell's equations when the charge conservation is not satisfied
- A Finite-Volume Method for the Maxwell Equations in the Time Domain
- Constraint-Preserving Upwind Methods for Multidimensional Advection Equations
- Hyperbolic GLM Scheme for Elliptic Constraints in Computational Electromagnetics and MHD
- Locally Divergence-preserving Upwind Finite Volume Schemes for Magnetohydrodynamic Equations
- Constraint Preserving Schemes Using Potential-Based Fluxes I. Multidimensional Transport Equations
- Convergence of locally divergence-free discontinuous-Galerkin methods for the induction equations of the 2D-MHD system
- Divergence-free adaptive mesh refinement for magnetohydrodynamics.
This page was built for publication: Roe-type schemes for shallow water magnetohydrodynamics with hyperbolic divergence cleaning
