High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics (Q2133802)

scientific article; zbMATH DE number 7518113

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English	High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics	scientific article; zbMATH DE number 7518113

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instance of

scholarly article

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title

High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics (English)

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Journal of Computational Physics

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publication date

5 May 2022

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full work available at URL

https://arxiv.org/abs/2107.12027

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zbMATH Keywords

high-order accuracy

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entropy stable scheme

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adaptive moving mesh

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relativistic hydrodynamics (RHD)

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relativistic magnetohydrodynamics (RMHD)

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describes a project that uses

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A subluminal relativistic magnetohydrodynamics scheme with ADER-WENO predictor and multidimensional Riemann solver-based corrector

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Entropy-stable schemes for relativistic hydrodynamics equations

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Low dissipative entropy stable schemes using third order WENO and TVD reconstructions

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A MUSCL method satisfying all the numerical entropy inequalities

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A Study of Monitor Functions for Two-Dimensional Adaptive Mesh Generation

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Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces

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On discretely entropy conservative and entropy stable discontinuous Galerkin methods

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Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations

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Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws

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Second-order accurate genuine BGK schemes for the ultra-relativistic flow simulations

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Second-order accurate BGK schemes for the special relativistic hydrodynamics with the Synge equation of state

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Monotone Difference Approximations for Scalar Conservation Laws

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

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

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Relativistic hydrodynamics and essentially non-oscillatory shock capturing schemes

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An analytical solution of the isentropic vortex problem in the special relativistic magnetohydrodynamics

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High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics

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High-order accurate entropy stable nodal discontinuous Galerkin schemes for the ideal special relativistic magnetohydrodynamics

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Entropy stable adaptive moving mesh schemes for 2D and 3D special relativistic hydrodynamics

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High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains

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Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws

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Numerical hydrodynamics and magnetohydrodynamics in general relativity

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A skew-symmetric discontinuous Galerkin spectral element discretization and its relation to SBP-SAT finite difference methods

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An adaptive moving mesh method for two-dimensional ideal magnetohydrodynamics

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On finite-difference approximations and entropy conditions for shocks

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An Adaptive Moving Mesh Method for Two-Dimensional Relativistic Hydrodynamics

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An adaptive moving mesh method for two-dimensional relativistic magnetohydrodynamics

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Entropy stable shock capturing space-time discontinuous Galerkin schemes for systems of conservation laws

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A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics

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Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks

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Efficient implementation of weighted ENO schemes

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Fully Discrete, Entropy Conservative Schemes of ArbitraryOrder

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Physical-constraints-preserving Lagrangian finite volume schemes for one- and two-dimensional special relativistic hydrodynamics

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Extension of the piecewise parabolic method to one-dimensional relativistic hydrodynamics

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Numerical hydrodynamics in special relativity

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Riemann Solvers, the Entropy Condition, and Difference

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On the Convergence of Difference Approximations to Scalar Conservation Laws

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Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations

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Relativistic hydrodynamics

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New algorithms for ultra-relativistic numerical hydrodynamics

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The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I

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Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems

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Q3593756

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An adaptive mesh redistribution method for nonlinear Hamilton--Jacobi equations in two- and three-dimensions.

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Geometric Conservation Law and Its Application to Flow Computations on Moving Grids

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Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh

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Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes

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Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations

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Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations

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High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics

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A direct Eulerian GRP scheme for spherically symmetric general relativistic hydrodynamics

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Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations

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On physical-constraints-preserving schemes for special relativistic magnetohydrodynamics with a general equation of state

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A Third-Order Accurate Direct Eulerian GRP Scheme for One-Dimensional Relativistic Hydrodynamics

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A direct Eulerian GRP scheme for relativistic hydrodynamics: One-dimensional case

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A direct Eulerian GRP scheme for relativistic hydrodynamics: two-dimensional case

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Two-Stage Fourth-Order Accurate Time Discretizations for 1D and 2D Special Relativistic Hydrodynamics

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Discrete form of the GCL for moving meshes and its implementation in CFD schemes

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Runge-Kutta discontinuous Galerkin methods with WENO limiter for the special relativistic hydrodynamics

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Runge-Kutta discontinuous Galerkin methods for the special relativistic magnetohydrodynamics

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JCP.2022.111038

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Sitelinks

Mathematics(1 entry)

mardi Publication:2133802