Algebraic limitations on two-dimensional hydrodynamics simulations
type: Item
instance of: scholarly article
title: Algebraic limitations on two-dimensional hydrodynamics simulations
zbMATH Open document ID: 0849.76079
author: Paul P. Whalen
published in: Journal of Computational Physics
publication date: 1996-07-01T00:00:00Z
review text: Algebraic limitations imposed by the use of connected straightline segments to define meshes for hydrodynamics simulations in two-dimensional cylindrical geometries are shown. It is shown that in the simplest smooth isentropic flow of the spherical expansion of a gas with point symmetry, commonly, and currently, used finite difference, finite volume, or finite element staggered grid hydrodynamics equations cannot simultaneously preserve energy, entropy and sphericity on an equal-angle mesh. Exact difference representations of interface (cell face) pressures and work terms and of the elements of the strain rate tensor in a cell are shown.
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 881871
zbMATH Keywords: connected straightline segments
zbMATH Keywords: cylindrical geometries
zbMATH Keywords: isentropic flow
zbMATH Keywords: spherical expansion
zbMATH Keywords: energy
zbMATH Keywords: entropy
zbMATH Keywords: strain rate tensor
MaRDI profile type: Publication
full work available at URL: jcph.1996.0043
OpenAlex ID: W2023817512
DOI: 10.1006/JCPH.1996.0043
description: scientific article; zbMATH DE number 881871