Sign on

SAO/NASA ADS Astronomy Abstract Service

· Find Similar Abstracts (with default settings below)
· Electronic Refereed Journal Article (HTML)
· Full Refereed Journal Article (PDF/Postscript)
· arXiv e-print (arXiv:0909.0513)
· References in the article
· Citations to the Article (1) (Citation History)
· Refereed Citations to the Article
· Also-Read Articles (Reads History)
·
· Translate This Page
Title:
Computational Eulerian hydrodynamics and Galilean invariance
Authors:
Robertson, Brant E.; Kravtsov, Andrey V.; Gnedin, Nickolay Y.; Abel, Tom; Rudd, Douglas H.
Affiliation:
AA(Kavli Institute for Cosmological Physics, Department of Astronomy and Astrophysics, University of Chicago, 933 East 56th Street, Chicago, IL 60637, USA; Enrico Fermi Institute, 5640 South Ellis Avenue, Chicago, IL 60637, USA), AB(Kavli Institute for Cosmological Physics, Department of Astronomy and Astrophysics, University of Chicago, 933 East 56th Street, Chicago, IL 60637, USA; Enrico Fermi Institute, 5640 South Ellis Avenue, Chicago, IL 60637, USA), AC(Kavli Institute for Cosmological Physics, Department of Astronomy and Astrophysics, University of Chicago, 933 East 56th Street, Chicago, IL 60637, USA; Particle Astrophysics Center, Fermilab, Batavia, IL 60510, USA), AD(Kavli Institute for Particle Astrophysics and Cosmology, Stanford University, 2575 Sand Hill Road, Menlo Park, CA 94025, USA), AE(School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, USA)
Publication:
Monthly Notices of the Royal Astronomical Society, Volume 401, Issue 4, pp. 2463-2476. (MNRAS Homepage)
Publication Date:
02/2010
Origin:
MNRAS
MNRAS Keywords:
hydrodynamics, instabilities, methods: numerical
Abstract Copyright:
(c) Journal compilation © 2010 RAS
DOI:
10.1111/j.1365-2966.2009.15823.x
Bibliographic Code:
2010MNRAS.401.2463R

Abstract

ABSTRACT Eulerian hydrodynamical simulations are a powerful and popular tool for modelling fluids in astrophysical systems. In this work, we critically examine recent claims that these methods violate Galilean invariance of the Euler equations. We demonstrate that Eulerian hydrodynamics methods do converge to a Galilean-invariant solution, provided a well-defined convergent solution exists. Specifically, we show that numerical diffusion, resulting from diffusion-like terms in the discretized hydrodynamical equations solved by Eulerian methods, accounts for the effects previously identified as evidence for the Galilean non-invariance of these methods. These velocity-dependent diffusive terms lead to different results for different bulk velocities when the spatial resolution of the simulation is kept fixed, but their effect becomes negligible as the resolution of the simulation is increased to obtain a converged solution. In particular, we find that Kelvin-Helmholtz instabilities develop properly in realistic Eulerian calculations regardless of the bulk velocity provided the problem is simulated with sufficient resolution (a factor of 2-4 increase compared to the case without bulk flows for realistic velocities). Our results reiterate that high-resolution Eulerian methods can perform well and obtain a convergent solution, even in the presence of highly supersonic bulk flows.
Bibtex entry for this abstract   Preferred format for this abstract (see Preferences)
   

Find Similar Abstracts:

Use: Authors
Title
Keywords (in text query field)
Abstract Text
Return: Query Results Return    items starting with number
Query Form
Database: Astronomy
Physics
arXiv e-prints