[HTML][HTML] Grid-based methods in relativistic hydrodynamics and magnetohydrodynamics
JM Martí, E Müller - Living reviews in computational astrophysics, 2015 - Springer
An overview of grid-based numerical methods used in relativistic hydrodynamics (RHD) and
magnetohydrodynamics (RMHD) is presented. Special emphasis is put on a comprehensive …
magnetohydrodynamics (RMHD) is presented. Special emphasis is put on a comprehensive …
[HTML][HTML] Higher-order accurate space-time schemes for computational astrophysics—Part I: finite volume methods
DS Balsara - Living reviews in computational astrophysics, 2017 - Springer
As computational astrophysics comes under pressure to become a precision science, there
is an increasing need to move to high accuracy schemes for computational astrophysics …
is an increasing need to move to high accuracy schemes for computational astrophysics …
A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics
T Miyoshi, K Kusano - Journal of Computational Physics, 2005 - Elsevier
A new multi-state Harten–Lax–van Leer (HLL) approximate Riemann solver for the ideal
magnetohydrodynamic (MHD) equations is developed based on the assumption that the …
magnetohydrodynamic (MHD) equations is developed based on the assumption that the …
Three dimensional magnetorotational core-collapse supernova explosions of a 39 solar mass progenitor star
We perform three-dimensional simulations of magnetorotational supernovae using a
progenitor star with two different initial magnetic field strengths of 1010 and 1012 G in the …
progenitor star with two different initial magnetic field strengths of 1010 and 1012 G in the …
3D simulations of magnetoconvection in a rapidly rotating supernova progenitor
We present a first 3D magnetohydrodynamic (MHD) simulation of oxygen, neon, and carbon
shell burning in a rapidly rotating core-collapse supernova progenitor. We also run a purely …
shell burning in a rapidly rotating core-collapse supernova progenitor. We also run a purely …
Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows
DS Balsara - Journal of Computational Physics, 2010 - Elsevier
In this work we present a general strategy for constructing multidimensional HLLE Riemann
solvers, with particular attention paid to detailing the two-dimensional HLLE Riemann solver …
solvers, with particular attention paid to detailing the two-dimensional HLLE Riemann solver …
A two-dimensional HLLC Riemann solver for conservation laws: Application to Euler and magnetohydrodynamic flows
DS Balsara - Journal of Computational Physics, 2012 - Elsevier
In this paper we present a genuinely two-dimensional HLLC Riemann solver. On logically
rectangular meshes, it accepts four input states that come together at an edge and outputs …
rectangular meshes, it accepts four input states that come together at an edge and outputs …
A robust numerical scheme for highly compressible magnetohydrodynamics: Nonlinear stability, implementation and tests
K Waagan, C Federrath, C Klingenberg - Journal of Computational Physics, 2011 - Elsevier
The ideal MHD equations are a central model in astrophysics, and their solution relies upon
stable numerical schemes. We present an implementation of a new method, which …
stable numerical schemes. We present an implementation of a new method, which …
Multidimensional HLLC Riemann solver for unstructured meshes–with application to Euler and MHD flows
The goal of this paper is to formulate genuinely multidimensional HLL and HLLC Riemann
solvers for unstructured meshes by extending our prior papers on the same topic for logically …
solvers for unstructured meshes by extending our prior papers on the same topic for logically …
[HTML][HTML] A shock-stable modification of the HLLC Riemann solver with reduced numerical dissipation
The purpose of this paper is twofold. First, the application of high-order methods in
combination with the popular HLLC Riemann solver demonstrates that the grid-aligned …
combination with the popular HLLC Riemann solver demonstrates that the grid-aligned …