Total Variation Diminishing Scheme for Relativistic Magnetohydrodynamics

By Dinshaw S. Balsara. 2001

146 citations recorded by the source corpus.

Subfields: Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/f645c8bb569323f394ec6954902af65ba6bd11a5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. J. McKinney
2. Michael Dumbser
3. Eleuterio F. Toro
4. Andrea Mignone
5. Olindo Zanotti
6. Charles F. Gammie
7. L. Del Zanna
8. Claus-Dieter Munz

In Numerical Analysis

1. Eleuterio F. Toro
2. Michael Dumbser
3. Claus-Dieter Munz
4. Andrea Mignone
5. Gianluigi Bodo
6. Pasquale Londrillo
7. N. Bucciantini
8. L. Del Zanna

Citations in the corpus

• On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws (2011, methodology): “The exact solution of the Riemann problem has been published in [19, 34] and the eigenstructure has been made available in [1].”
• Divergence-free adaptive mesh refinement for Magnetohydrodynamics (2001, unknown): “Balsara [ 5 ] has also designed higher order Godunov schemes for relativistic MHD.”
• A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes (2008, methodology): “We now solve a series of one-dimensional standard shock tube test cases proposed in [3].”
• An HLLC Riemann solver for relativistic flows – II. Magnetohydrodynamics (2006, background): “Part of this accomplishment owes to the successful generalization of existing shockcapturing Godunov-type codes to relativistic magnetohydrodynamics (RMHD) (see Komissarov 1999; Balsara 2001; Del Zanna, Bucciantini & Londrillo 2003, and reference therein).”
• HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics (2003, background): “SRMHD schemes have been developed by Van Putten (1993), Balsara (2001), Koldoba, Kuznetsov, & Ustyugova (2002), Komissarov (1999), and Del Zanna, Bucciantini, & Londrillo (2002).”
• ECHO: a Eulerian conservative high-order scheme for general relativistic magnetohydrodynamics and magnetodynamics (2007, background): “Since RMHD shock tubes have been extensively presented in Paper II, here just an example is given, namely the relativistic version of the Brio & Wu test (Brio & Wu 1988) by van Putten (1993) and Balsara (2001).”
• Second-Order-accurate Schemes for Magnetohydrodynamics with Divergence-free Reconstruction (2003, methodology): “In x 4 we extend the reconstruction strategy of Balsara (2001b) to cylindrical and spherical structured meshes and to tetrahedral meshes.”