Entropy Stable Discontinuous Galerkin Schemes for Two-Fluid Relativistic Plasma Flow Equations

High-order finite-difference entropy stable schemes for two-fluid relativistic plasma flow equations

(2023) Deepak Bhoriya et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

(2022) Junming Duan et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Entropy stable discontinuous Galerkin schemes for the special relativistic hydrodynamics equations

(2022) Biswarup Biswas et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Entropy stable discontinuous Galerkin methods for ten-moment Gaussian closure equations

(2021) Biswarup Biswas et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics

(2021) Junming Duan et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

(2021) Kailiang Wu et al.   NUMERISCHE MATHEMATIK

A comparison of approximate non-linear Riemann solvers for Relativistic MHD

(2021) G Mattia et al.   MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY

Entropy-stable schemes for relativistic hydrodynamics equations

(2020) Deepak Bhoriya et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

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

(2020) Junming Duan et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

(2020) Junming Duan et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Entropy Stable Space–Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws

(2019) Lucas Friedrich et al.   JOURNAL OF SCIENTIFIC COMPUTING

Relativistic Jets from Active Galactic Nuclei

(2019) Roger Blandford et al.   Annual Review of Astronomy and Astrophysics

Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes

(2018) Yong Liu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

(2017) Tianheng Chen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Entropy Stable Schemes For Ten-Moment Gaussian Closure Equations

(2017) Chhanda Sen et al.   JOURNAL OF SCIENTIFIC COMPUTING

A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations

(2016) Gregor J. Gassner et al.   APPLIED MATHEMATICS AND COMPUTATION

On limiting for higher order discontinuous Galerkin method for 2D Euler equations

(2016) Juan Pablo Gallego-Valencia et al.   BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY

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

(2016) Dinshaw S. Balsara et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics

(2016) Tong Qin et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A high-order relativistic two-fluid electrodynamic scheme with consistent reconstruction of electromagnetic fields and a multidimensional Riemann solver for electromagnetism

(2016) Dinshaw S. Balsara et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations

(2016) Gregor J. Gassner et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Entropy Stable Finite Volume Scheme for Ideal Compressible MHD on 2-D Cartesian Meshes

(2016) Praveen Chandrashekar et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Global Ill-Posedness of the Isentropic System of Gas Dynamics

(2014) Elisabetta Chiodaroli et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

A stable HLLC Riemann solver for relativistic magnetohydrodynamics

(2014) Jinho Kim et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

(2014) Mark H. Carpenter et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

THE ROLE OF SUPERLUMINAL ELECTROMAGNETIC WAVES IN PULSAR WIND TERMINATION SHOCKS

(2013) Takanobu Amano et al.   ASTROPHYSICAL JOURNAL

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

(2013) Praveen Chandrashekar   Communications in Computational Physics

A multidimensional numerical scheme for two-fluid relativistic magnetohydrodynamics

(2013) Maxim Barkov et al.   MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY

ENO Reconstruction and ENO Interpolation Are Stable

(2012) Ulrik S. Fjordholm et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

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

(2012) Ulrik S. Fjordholm et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Entropy Stable Numerical Schemes for Two-Fluid Plasma Equations

(2011) Harish Kumar et al.   JOURNAL OF SCIENTIFIC COMPUTING

RELATIVISTIC MAGNETOHYDRODYNAMICS: RENORMALIZED EIGENVECTORS AND FULL WAVE DECOMPOSITION RIEMANN SOLVER

(2010) Luis Antón et al.   ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES

RELATIVISTIC TWO-FLUID SIMULATIONS OF GUIDE FIELD MAGNETIC RECONNECTION

(2009) Seiji Zenitani et al.   ASTROPHYSICAL JOURNAL

TWO-FLUID MAGNETOHYDRODYNAMIC SIMULATIONS OF RELATIVISTIC MAGNETIC RECONNECTION

(2009) Seiji Zenitani et al.   ASTROPHYSICAL JOURNAL

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

(2009) Farzad Ismail et al.   JOURNAL OF COMPUTATIONAL PHYSICS