Numerical viscosity in simulations of the two-dimensional Kelvin-Helmholtz instability

Autor:	Obergaulinger, Martin, Aloy, Miguel-Ángel
Rok vydání:	2020
Předmět:	Astrophysics - Instrumentation and Methods for Astrophysics Physics - Computational Physics
Druh dokumentu:	Working Paper
DOI:	10.1088/1742-6596/1623/1/012018
Popis:	The Kelvin-Helmholtz instability serves as a simple, well-defined setup for assessing the accuracy of different numerical methods for solving the equations of hydrodynamics. We use it to extend our previous analysis of the convergence and the numerical dissipation in models of the propagation of waves and in the tearing-mode instability in magnetohydrodynamic models. To this end, we perform two-dimensional simulations with and without explicit physical viscosity at different resolutions. A comparison of the growth of the modes excited by our initial perturbations allows us to estimate the effective numerical viscosity of two spatial reconstruction schemes (fifth-order monotonicity preserving and second-order piecewise linear schemes). Comment: 9 pages, 4 figures. Proceedings for the "ASTRONUM 2019" conference, July 2019, Paris, France
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2001.01927 Zobrazit plný text záznamu View this record from Arxiv