A high-order relativistic two-fluid electrodynamic scheme with consistent reconstruction of electromagnetic fields and a multidimensional Riemann solver for electromagnetism
DOI10.1016/j.jcp.2016.05.006zbMath1349.76425arXiv1603.06975OpenAlexW2308910487MaRDI QIDQ726828
Takanobu Amano, Sudip Garain, Dinshaw S. Balsara, Jin Ho Kim
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.06975
Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Magnetohydrodynamics and electrohydrodynamics (76W05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Multidimensional HLLC Riemann solver for unstructured meshes -- with application to Euler and MHD flows
- A stable HLLC Riemann solver for relativistic magnetohydrodynamics
- Multidimensional Riemann problem with self-similar internal structure. I: Application to hyperbolic conservation laws on structured meshes
- Three dimensional HLL Riemann solver for conservation laws on structured meshes; application to Euler and magnetohydrodynamic flows
- Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics
- Fast high order ADER schemes for linear hyperbolic equations
- On high order strong stability preserving Runge-Kutta and multi step time discretizations
- Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
- A high-order finite-volume method for conservation laws on locally refined grids
- Second order finite volume scheme for Maxwell's equations with discontinuous electromagnetic properties on unstructured meshes
- Multidimensional Riemann problem with self-similar internal structure. Part II: Application to hyperbolic conservation laws on unstructured meshes
- Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers
- The piecewise parabolic method (PPM) for gas-dynamical simulations
- Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics
- Very high order \(P_NP_M\) schemes on unstructured meshes for the resistive relativistic MHD equations
- A high resolution wave propagation scheme for ideal two-fluid plasma equations
- Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems
- HLLC solver for ideal relativistic MHD
- A limiter for PPM that preserves accuracy at smooth extrema
- A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
- Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magneto\-hydrodynamics
- An upwind differencing scheme for the equations of ideal magnetohydrodynamics
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
- Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
- Divergence correction techniques for Maxwell solvers based on a hyperbolic model
- ADER: Arbitrary high-order Godunov approach
- ADER schemes for three-dimensional non-linear hyperbolic systems
- Non-linear evolution using optimal fourth-order strong-stability-preserving Runge-Kutta methods
- Efficient implementation of weighted ENO schemes
- Entropy stable numerical schemes for two-fluid plasma equations
- Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes -- speed comparisons with Runge-Kutta methods
- Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows
- Development of a Godunov method for Maxwell's equations with adaptive mesh refinement
- A two-dimensional Riemann solver with self-similar sub-structure - alternative formulation based on least squares projection
- IMEX extensions of linear multistep methods with general monotonicity and boundedness properties
- A two-dimensional HLLC Riemann solver for conservation laws: application to Euler and magnetohydrodynamic flows
- Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems
- Strong Stability-Preserving High-Order Time Discretization Methods
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- Total-Variation-Diminishing Time Discretizations
- Solution of the generalized Riemann problem for advection–reaction equations
- An efficient shock-capturing central-type scheme for multidimensional relativistic flows
- A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
- A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations
- A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws
- Divergence-free adaptive mesh refinement for magnetohydrodynamics.