Roe linearization for the Euler equations augmented by the convective terms from the  k –ω turbulence model | Zendy

Joarder Ratan | Zendy; Jagadeesh G. | Zendy

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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

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.

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