An efficient shock-capturing central-type scheme for multidimensional relativistic flows

DOI10.1051/0004-6361:20021641zbMath1222.76122arXivastro-ph/0210618OpenAlexW2160024001WikidataQ63411175 ScholiaQ63411175MaRDI QIDQ4707268

L. Del Zanna, N. Bucciantini, P. Londrillo

Publication date: 19 June 2003

Published in: Astronomy & Astrophysics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/astro-ph/0210618

Mathematics Subject Classification ID

Related Items (50)

Entropy stable discontinuous Galerkin schemes for the special relativistic hydrodynamics equations ⋮ High-order accurate entropy stable nodal discontinuous Galerkin schemes for the ideal special relativistic magnetohydrodynamics ⋮ Systematic construction of upwind constrained transport schemes for MHD ⋮ An adaptive moving mesh method for two-dimensional relativistic magnetohydrodynamics ⋮ A novel approach for temporal simulations with very high-order finite volume schemes on polyhedral unstructured grids ⋮ High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics ⋮ A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems ⋮ A fifth-order finite difference scheme for hyperbolic equations on block-adaptive curvilinear grids ⋮ Very high order \(P_NP_M\) schemes on unstructured meshes for the resistive relativistic MHD equations ⋮ Refining a relativistic, hydrodynamic solver: admitting ultra-relativistic flows ⋮ A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement ⋮ Numerical investigation of Maxwell-Vlasov equations. I: Basic physics and algorithms ⋮ Yet another modification of relativistic magnetohydrodynamic waves: electron thermal inertia ⋮ 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 ⋮ High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes ⋮ Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws ⋮ A central-constrained transport scheme for ideal magnetohydrodynamics ⋮ GRaM-X: a new GPU-accelerated dynamical spacetime GRMHD code for Exascale computing with the Einstein Toolkit ⋮ Runge-Kutta discontinuous Galerkin methods for the special relativistic magnetohydrodynamics ⋮ High-order finite-difference entropy stable schemes for two-fluid relativistic plasma flow equations ⋮ Parallel, grid-adaptive approaches for relativistic hydro- and magnetohydrodynamics ⋮ A positivity-preserving adaptive-order finite-difference scheme for GRMHD ⋮ Divergence-free magnetohydrodynamics on conformally moving, adaptive meshes using a vector potential method ⋮ Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations ⋮ GiRaFFE: an open-source general relativistic force-free electrodynamics code ⋮ Correspondence between constrained transport and vector potential methods for magnetohydrodynamics ⋮ A variable high-order shock-capturing finite difference method with GP-WENO ⋮ On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method. ⋮ Jacobian-free approximate solvers for hyperbolic systems: application to relativistic magnetohydrodynamics ⋮ A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes ⋮ Spritz: a new fully general-relativistic magnetohydrodynamic code ⋮ Non-oscillatory central schemes for one- and two-dimensional MHD equations. I ⋮ A finite volume implicit time integration method for solving the equations of ideal magnetohydrodynamics for the hyperbolic divergence cleaning approach ⋮ A novel solver for the generalized Riemann problem based on a simplified LeFloch-Raviart expansion and a local space-time discontinuous Galerkin formulation ⋮ A multidimensional grid-adaptive relativistic magnetofluid code ⋮ Constraint preserving boundary conditions for the ideal Newtonian MHD equations ⋮ A high-order kinetic flux-splitting method for the relativistic magnetohydrodynamics ⋮ On physical-constraints-preserving schemes for special relativistic magnetohydrodynamics with a general equation of state ⋮ A posteriori subcell finite volume limiter for general \(P_NP_M\) schemes: applications from gasdynamics to relativistic magnetohydrodynamics ⋮ A high-order relativistic two-fluid electrodynamic scheme with consistent reconstruction of electromagnetic fields and a multidimensional Riemann solver for electromagnetism ⋮ Divergence-free approximate Riemann solver for the quasi-neutral two-fluid plasma model ⋮ A subluminal relativistic magnetohydrodynamics scheme with ADER-WENO predictor and multidimensional Riemann solver-based corrector ⋮ Shock-Capturing Schemes in Computational MHD ⋮ The space-time CE/SE method for solving one-dimensional special relativistic magnetohydrodynamics equations ⋮ FORCE schemes on unstructured meshes. I: Conservative hyperbolic systems ⋮ Numerical hydrodynamics and magnetohydrodynamics in general relativity ⋮ Finite element form of FDV for widely varying flowfields ⋮ A high-order shock capturing discontinuous Galerkin–finite difference hybrid method for GRMHD ⋮ New Types of Jacobian-Free Approximate Riemann Solvers for Hyperbolic Systems

This page was built for publication: An efficient shock-capturing central-type scheme for multidimensional relativistic flows