Entropy errors in the numerical approximation of the Euler flow along a kinked wall

H.T.M. Maarel, van der, B. Koren

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

Samenvatting

Numerical entropy generation is studied in the case of steady, subsonic Euler flow along a kinked wall. For a standard upwind finite volume discretization, the numerical entropy error appears to be zeroth-order in mesh size. Two possible causes of the zeroth-order entropy error are studied. First an investigation is made of the local discretization error on a kinked grid. In the neighbourhood of the kink, this error appears to be zeroth-order as well. For supersonic flow it can be easily removed. However, it seems that the zeroth-order entropy error is yet not caused by the zeroth-order discretization error. Next a study is made of the existence of a singularity in the exact solution. Probably, the Euler flow solution is singular at the kink in the wall. The form of the likely singularity is unknown. Therefore, the construction of a computational method which uses a priori knowledge of the singularity is not possible. Finally it is shown by numerical experiment that the subsonic Euler flow along a kinked wall still can be computed with vanishing entropy errors, by using a continuously curved wall which converges to the kinked wall in the limit of zero mesh width.
Originele taal-2Engels
TitelIntegration of Theory and Applications in Applied Mechanics : Choice of Papers Presented at the First National Mechanics Congress, 2-4 April 1990, Rolduc, Kerkrade, The Netherlands
RedacteurenJ.F. Dijksman, F.T.M. Nieuwstadt
Plaats van productieDordrecht
UitgeverijKluwer Academic Publishers
Pagina's315-328
ISBN van geprinte versie0-7923-0921-9
StatusGepubliceerd - 1990
Extern gepubliceerdJa
Evenementconference; First National Mechanics Congress; 1990-04-02; 1990-04-04 -
Duur: 2 apr 19904 apr 1990

Congres

Congresconference; First National Mechanics Congress; 1990-04-02; 1990-04-04
Periode2/04/904/04/90
AnderFirst National Mechanics Congress

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  • Citeer dit

    Maarel, van der, H. T. M., & Koren, B. (1990). Entropy errors in the numerical approximation of the Euler flow along a kinked wall. In J. F. Dijksman, & F. T. M. Nieuwstadt (editors), Integration of Theory and Applications in Applied Mechanics : Choice of Papers Presented at the First National Mechanics Congress, 2-4 April 1990, Rolduc, Kerkrade, The Netherlands (blz. 315-328). Kluwer Academic Publishers.