Premium
A general algorithm for compressible and incompressible flow—Part I. the split, characteristic‐based scheme
Author(s) -
Zienkiewicz O. C.,
Codina R.
Publication year - 1995
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650200812
Subject(s) - compressibility , interpolation (computer graphics) , mathematics , scheme (mathematics) , incompressible flow , euler equations , compressible flow , dissipation , flow (mathematics) , euler's formula , algorithm , mathematical analysis , computer science , geometry , physics , mechanics , motion (physics) , thermodynamics , artificial intelligence
The paper outlines the formulation of a novel algorithm which can be used for the solution of both compressible and incompressible Navier‐Stokes or Euler equations. Full incompressibility can be dealt with if the algorithm is used in its semi‐explicit form and its structure permits arbitrary interpolation functions to be used avoiding the Babuška‐Brezzi restriction. In a fully explicit version it introduces a rational form of balancing dissipation avoiding the use of arbitrary parameters and forms for this.