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Roe linearization for the Euler equations augmented by the convective terms from the k –ω turbulence model
Author(s) -
Joarder Ratan,
Jagadeesh G.
Publication year - 2007
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.1666
Subject(s) - eigenvalues and eigenvectors , jacobian matrix and determinant , linearization , turbulence , euler's formula , euler equations , mathematics , finite volume method , mathematical analysis , physics , mechanics , nonlinear system , quantum mechanics
Abstract This paper describes the method of calculation of the eigenvalues, eigenvectors of the Jacobian matrix of the Euler equations augmented by the convective part of k –ω turbulence model. The equations are 3D and values are expressed in terms of cell normals of a finite volume. The expressions for wave strengths are also found, which are also necessary to calculate the inter‐cell fluxes for Roe's scheme. Copyright © 2007 John Wiley & Sons, Ltd.