High-order magnetohydrodynamics for astrophysics with an adaptive mesh refinement discontinuous Galerkin scheme

T Guillet, R Pakmor, V Springel… - Monthly Notices of …, 2019 - academic.oup.com
Modern astrophysical simulations aim to accurately model an ever-growing array of physical
processes, including the interaction of fluids with magnetic fields, under increasingly …

High-order discontinuous Galerkin hydrodynamics with sub-cell shock capturing on GPUs

M Cernetic, V Springel, T Guillet… - Monthly Notices of the …, 2023 - academic.oup.com
Hydrodynamical numerical methods that converge with high-order hold particular promise
for astrophysical studies, as they can in principle reach prescribed accuracy goals with …

Supersonic turbulence simulations with GPU-based high-order Discontinuous Galerkin hydrodynamics

M Cernetic, V Springel, T Guillet… - Monthly Notices of the …, 2024 - academic.oup.com
We investigate the numerical performance of a Discontinuous Galerkin (DG) hydrodynamics
implementation when applied to the problem of driven, isothermal supersonic turbulence …

Spectral difference method with a posteriori limiting: application to the Euler equations in one and two space dimensions

DA Velasco Romero, M Han-Veiga… - Monthly Notices of the …, 2023 - academic.oup.com
We present a new numerical scheme which combines the spectral difference (SD) method
up to arbitrary high order with a-posteriori limiting using the classical MUSCL-Hancock …

Spectral difference method with a posteriori limiting: II–Application to low Mach number flows

DA Velasco-Romero, R Teyssier - Monthly Notices of the Royal …, 2025 - academic.oup.com
Stellar convection poses two main gargantuan challenges for astrophysical fluid solvers: low-
Mach number flows and minuscule perturbations over steeply stratified hydrostatic …

An arbitrary high-order spectral difference method for the induction equation

MH Veiga, DA Velasco-Romero, Q Wenger… - Journal of …, 2021 - Elsevier
We study in this paper three variants of the high-order Discontinuous Galerkin (DG) method
with Runge-Kutta (RK) time integration for the induction equation, analysing their ability to …

Weno–wombat: scalable fifth-order constrained-transport magnetohydrodynamics for astrophysical applications

JMF Donnert, H Jang, P Mendygral… - The Astrophysical …, 2019 - iopscience.iop.org
Owing to increases in computing power, high-order Eulerian schemes will likely become
instrumental in simulations of turbulence and magnetic field amplification in astrophysical …

Desarrollo de varios métodos numéricos sobre GPUs y su aplicación en entornos astrofísicos

DAV ROMERO - 2023 - riaa.uaem.mx
El presente trabajo muestra la implementación de distintos métodos numéricos para la
descripción computacional de la dinámica de fluidos en entornos astrofísicos. Dichas …

High-order discontinuous Galerkin hydrodynamics for supersonic astrophysical turbulence

M Cernetic - 2023 - edoc.ub.uni-muenchen.de
Throughout the universe a primary way of transferring large scale kinetic energy down to
viscous scales where it can heat gas, mix chemical elemental abundances, regulate star …