Smoothed particle hydrodynamics and magnetohydrodynamics
DJ Price - Journal of Computational Physics, 2012 - Elsevier
This paper presents an overview and introduction to smoothed particle hydrodynamics and
magnetohydrodynamics in theory and in practice. Firstly, we give a basic grounding in the …
magnetohydrodynamics in theory and in practice. Firstly, we give a basic grounding in the …
[HTML][HTML] Multi-scale simulations of particle acceleration in astrophysical systems
This review aims at providing an up-to-date status and a general introduction to the subject
of the numerical study of energetic particle acceleration and transport in turbulent …
of the numerical study of energetic particle acceleration and transport in turbulent …
Hyperbolic divergence cleaning for the MHD equations
In simulations of magnetohydrodynamic (MHD) processes the violation of the divergence
constraint causes severe stability problems. In this paper we develop and test a new …
constraint causes severe stability problems. In this paper we develop and test a new …
Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
DS Balsara, CW Shu - Journal of Computational Physics, 2000 - Elsevier
In this paper we design a class of numerical schemes that are higher-order extensions of the
weighted essentially non-oscillatory (WENO) schemes of G.-S. Jiang and C.-W. Shu (1996) …
weighted essentially non-oscillatory (WENO) schemes of G.-S. Jiang and C.-W. Shu (1996) …
The∇· B= 0 constraint in shock-capturing magnetohydrodynamics codes
G Tóth - Journal of Computational Physics, 2000 - Elsevier
Seven schemes to maintain the∇· B= 0 constraint numerically are compared. All these
algorithms can be combined with shock-capturing Godunov type base schemes. They fall …
algorithms can be combined with shock-capturing Godunov type base schemes. They fall …
[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 …
PARAMESH: A parallel adaptive mesh refinement community toolkit
P MacNeice, KM Olson, C Mobarry… - Computer physics …, 2000 - Elsevier
In this paper we describe a community toolkit which is designed to provide parallel support
with adaptive mesh capability for a large and important class of computational models, those …
with adaptive mesh capability for a large and important class of computational models, those …
A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
DS Balsara, DS Spicer - Journal of Computational Physics, 1999 - Elsevier
The equations of magnetohydrodynamics (MHD) have been formulated as a hyperbolic
system of conservation laws. In that form it becomes possible to use higher order Godunov …
system of conservation laws. In that form it becomes possible to use higher order Godunov …
Phantom: A smoothed particle hydrodynamics and magnetohydrodynamics code for astrophysics
We present Phantom, a fast, parallel, modular, and low-memory smoothed particle
hydrodynamics and magnetohydrodynamics code developed over the last decade for …
hydrodynamics and magnetohydrodynamics code developed over the last decade for …
Athena: a new code for astrophysical MHD
JM Stone, TA Gardiner, P Teuben… - The Astrophysical …, 2008 - iopscience.iop.org
A new code for astrophysical magnetohydrodynamics (MHD) is described. The code has
been designed to be easily extensible for use with static and adaptive mesh refinement. It …
been designed to be easily extensible for use with static and adaptive mesh refinement. It …