Splitting methods for low Mach number Euler and Navier-Stokes equations
type: Item
instance of: scholarly article
title: Splitting methods for low Mach number Euler and Navier-Stokes equations
zbMATH Open document ID: 0664.76088
DOI: 10.1016/0045-7930(89)90003-0
author: Pravir Duth
author: D. Gottlieb
author: Saul S. Abarbanel
published in: Computers and Fluids
publication date: 1989-01-01T00:00:00Z
full work available at URL: http://hdl.handle.net/2060/19870013013
review text: We examine some splitting techniques for low Mach number Euler flows. We point out shortcoming of some of the proposed methods and suggest an explanation for their inadequacy. We then present a symmetric splitting for both the Euler and Navier-Stokes equations which removes the stiffness of these equations when the Mach number is small. The splitting is shown to be stable.
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 4087293
zbMATH Keywords: splitting techniques
zbMATH Keywords: low Mach number Euler flows
zbMATH Keywords: Navier-Stokes equations
MaRDI profile type: Publication
OpenAlex ID: W1990654002
cites work: A numerical method for incompressible and compressible flow problems with smooth solutions
cites work: Unsymmetric hyperbolic systems and the Euler equations at low Mach numbers
cites work: On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis
cites work: Systems of Conservation Equations with a Convex Extension
cites work: Optimal time splitting for two- and three-dimensional Navier-Stokes equations with mixed derivatives
cites work: Strang-Type Difference Schemes for Multidimensional Problems
description: scientific article; zbMATH DE number 4087293