General Relativistic Hydrodynamics and Magnetohydrodynamics: Hyperbolic Systems in Relativistic Astrophysics

DOI10.1007/978-3-540-75712-2_1zbMath1151.83006OpenAlexW64994689MaRDI QIDQ5455367

José A. Font

Publication date: 3 April 2008

Published in: Hyperbolic Problems: Theory, Numerics, Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-75712-2_1

zbMATH Keywords

hyperbolic systemsrelativistic astrophysicsGeneral relativistic hydrodynamicsgeneral relativistic magnetodynamics

Mathematics Subject Classification ID

Heat equation (35K05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Computational methods for problems pertaining to relativity and gravitational theory (83-08)

Related Items (11)

Partitioned second order method for magnetohydrodynamics in Elsässer variables ⋮ High Order Efficient Algorithm for Computation of MHD Flow Ensembles ⋮ SpECTRE: A task-based discontinuous Galerkin code for relativistic astrophysics ⋮ Artificial compression method for MHD system in Elsässer variables ⋮ Local and parallel finite element algorithms for magnetohydrodynamic flows with low electromagnetic Reynolds number ⋮ Decoupled, unconditionally stable, higher order discretizations for MHD flow simulation ⋮ An efficient algorithm for computation of MHD flow ensembles ⋮ Fully discrete finite element approximation of the 2D/3D unsteady incompressible magnetohydrodynamic-Voigt regularization flows ⋮ A second order decoupled penalty projection method based on deferred correction for MHD in Elsässer variable ⋮ Unconditional stability of a partitioned IMEX method for magnetohydrodynamic flows ⋮ High order algebraic splitting for magnetohydrodynamics simulation

Uses Software

• HARM

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