xtroem-fv: a new code for computational astrophysics based on very high order finite-volume methods – II. Relativistic hydro- and magnetohydrodynamics

A high order special relativistic hydrodynamic and magnetohydrodynamic code with space–time adaptive mesh refinement

(2015) Olindo Zanotti et al.   COMPUTER PHYSICS COMMUNICATIONS

Solving the relativistic magnetohydrodynamics equations with ADER discontinuous Galerkin methods, a posteriori subcell limiting and adaptive mesh refinement

(2015) O. Zanotti et al.   MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY

xtroem-fv: a new code for computational astrophysics based on very high order finite-volume methods – I. Magnetohydrodynamics

(2015) Jonatan Núñez-de la Rosa et al.   MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY

Improved Accuracy of High-Order WENO Finite Volume Methods on Cartesian Grids

(2014) Pawel Buchmüller et al.   JOURNAL OF SCIENTIFIC COMPUTING

High-order CFD methods: current status and perspective

(2013) Z.J. Wang et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

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

(2013) Jian Zhao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

ADER-WENO finite volume schemes with space–time adaptive mesh refinement

(2013) Michael Dumbser et al.   JOURNAL OF COMPUTATIONAL PHYSICS

THC: a new high-order finite-difference high-resolution shock-capturing code for special-relativistic hydrodynamics

(2012) D. Radice et al.   ASTRONOMY & ASTROPHYSICS

A SECOND-ORDER GODUNOV METHOD FOR MULTI-DIMENSIONAL RELATIVISTIC MAGNETOHYDRODYNAMICS

(2011) Kris Beckwith et al.   ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES

THE PLUTO CODE FOR ADAPTIVE MESH COMPUTATIONS IN ASTROPHYSICAL FLUID DYNAMICS

(2011) A. Mignone et al.   ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES

An Adaptive Moving Mesh Method for Two-Dimensional Relativistic Hydrodynamics

(2011) Peng He et al.   Communications in Computational Physics

An unstaggered constrained transport method for the 3D ideal magnetohydrodynamic equations

(2011) Christiane Helzel et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Parallel, grid-adaptive approaches for relativistic hydro and magnetohydrodynamics

(2011) R. Keppens et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Discontinuous Galerkin methods for general-relativistic hydrodynamics: Formulation and application to spherically symmetric spacetimes

(2011) David Radice et al.   PHYSICAL REVIEW D

RELATIVISTIC MAGNETOHYDRODYNAMICS: RENORMALIZED EIGENVECTORS AND FULL WAVE DECOMPOSITION RIEMANN SOLVER

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

High-order conservative finite difference GLM–MHD schemes for cell-centered MHD

(2010) Andrea Mignone et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A second-order unsplit Godunov scheme for cell-centered MHD: The CTU-GLM scheme

(2009) Andrea Mignone et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A five-wave Harten-Lax-van Leer Riemann solver for relativistic magnetohydrodynamics

(2009) A. Mignone et al.   MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

(2009) Chi-Wang Shu   SIAM REVIEW

Athena: A New Code for Astrophysical MHD

(2008) James M. Stone et al.   ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES

A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

(2008) Michael Dumbser et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High Order Strong Stability Preserving Time Discretizations

(2008) Sigal Gottlieb et al.   JOURNAL OF SCIENTIFIC COMPUTING