Journal ArticleDOI
A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics
Takahiro Miyoshi,Kanya Kusano +1 more
TLDR
In this paper, a multi-state Harten-Lax-van Leer (HLL) approximate Riemann solver for the ideal magnetohydrodynamic (MHD) equations is developed based on the assumption that the normal velocity is constant over the riemann fan.About:
This article is published in Journal of Computational Physics.The article was published on 2005-09-01. It has received 668 citations till now. The article focuses on the topics: Riemann solver & Riemann problem.read more
Citations
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Journal ArticleDOI
PLUTO: A Numerical Code for Computational Astrophysics
Andrea Mignone,Andrea Mignone,Gianluigi Bodo,Silvano Massaglia,Titos Matsakos,Ovidiu Tesileanu,Claudio Zanni,A. Ferrari +7 more
TL;DR: PLUTO as mentioned in this paper is a multiphysics, multialgorithm modular environment particularly oriented toward the treatment of astrophysical flows in presence of discontinuities, and it exploits a general framework for integrating a system of conservation laws, built on modern Godunov-type shockcapturing schemes.
Journal ArticleDOI
Simulating galaxy formation with the IllustrisTNG model
Annalisa Pillepich,Annalisa Pillepich,Volker Springel,Volker Springel,Dylan Nelson,Shy Genel,Shy Genel,Jill Naiman,Rüdiger Pakmor,Lars Hernquist,Paul Torrey,Mark Vogelsberger,Rainer Weinberger,Federico Marinacci +13 more
TL;DR: In this article, an updated physical model to simulate the formation and evolution of galaxies in cosmological, large-scale gravity+magnetohydrodynamical simulations with the moving mesh code AREPO is introduced.
Journal ArticleDOI
A new class of accurate, mesh-free hydrodynamic simulation methods
TL;DR: In this paper, a Lagrangian method for hydrodynamics is proposed to simultaneously capture advantages of both SPH and grid-based/adaptive mesh refinement (AMR) schemes.
Journal ArticleDOI
Adaptive numerical algorithms in space weather modeling
Gabor Toth,Bart van der Holst,Igor V. Sokolov,D. L. De Zeeuw,Tamas I. Gombosi,Fang Fang,Ward B. Manchester,Xing Meng,Dalal Najib,Kenneth G. Powell,Quentin F. Stout,Alex Glocer,Yingjuan Ma,Merav Opher +13 more
TL;DR: The framework and the adaptive algorithms enable physics-based space weather modeling and even short-term forecasting and the algorithms of BATL, the Block-Adaptive Tree Library, are described and its efficiency and scaling properties for various problems are described.
Journal ArticleDOI
A high order Godunov scheme with constrained transport and adaptive mesh refinement for astrophysical magnetohydrodynamics
TL;DR: In this paper, a new method to perform numerical simulations of astrophysical MHD-flows using the Adaptive Mesh Refinement framework and constrained transport is presented, which is based on a previous work in which the MUSCL-Hancock scheme was used to evolve the induction equation.
References
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Journal ArticleDOI
Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes
TL;DR: In this article, it is shown that these features can be obtained by constructing a matrix with a certain property U, i.e., property U is a property of the solution of the Riemann problem.
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On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
TL;DR: This paper reviews some of the recent developments in upstream difference schemes through a unified representation, in order to enable comparison between the various schemes.
Journal ArticleDOI
Restoration of the contact surface in the HLL-Riemann solver
TL;DR: The missing contact surface in the approximate Riemann solver of Harten, Lax, and van Leer is restored and the resulting solver is simpler and computationally more efficient than the latter, particulaly for non-ideal gases.
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Regular Article: A Solution-Adaptive Upwind Scheme for Ideal Magnetohydrodynamics
TL;DR: In this article, the authors present a computational scheme for compressible magnetohydrodynamics (MHD) based on the same elements that make up many modern compressible gas dynamics codes: high-resolution upwinding based on an approximate Riemann solver for MHD and limited reconstruction; an optimally smoothing multi-stage time-stepping scheme; and solution-adaptive refinement and coarsening.
Journal ArticleDOI
Hyperbolic divergence cleaning for the MHD equations
Andreas Dedner,Friedemann Kemm,Dietmar Kröner,Claus-Dieter Munz,T. Schnitzer,Matthias Wesenberg +5 more
TL;DR: A new approach to the stabilization of numerical schemes in magnetohydrodynamic processes in which the divergence errors are transported to the domain boundaries with the maximal admissible speed and are damped at the same time is developed.