Title
Vorticity-preserving schemes for the compressible Euler equations
Abstract
The concept of vorticity-preserving scheme introduced by Morton and Roe is considered for the system wave equation and extended to the linearised and full compressible Euler equations. Useful criteria are found for a general dissipative conservative scheme to be vorticity preserving. Using them, a residual-based scheme is shown to be vorticity preserving for the Euler equations, which is confirmed by vortex flow calculations.
Year
DOI
Venue
2007
10.1016/j.jcp.2006.12.025
J. Comput. Physics
Keywords
Field
DocType
euler equations,vortex flow calculation,dissipative scheme,full compressible,general dissipative conservative scheme,vorticity preserving,vorticity-preserving scheme,useful criterion,euler equation,system wave equation,compressible euler equation,vortex advection,residual-based scheme,wave equation
Euler's pump and turbine equation,Vorticity,Mathematical analysis,Vortex,Dissipative system,Semi-implicit Euler method,Euler equations,Backward Euler method,Flux-corrected transport,Mathematics
Journal
Volume
Issue
ISSN
225
1
Journal of Computational Physics
Citations 
PageRank 
References 
4
0.61
2
Authors
3
Name
Order
Citations
PageRank
A. Lerat1112.06
F. Falissard291.94
J. Sidès340.61