Multi-D upwinding and multigridding for steady Euler flow computations

B. Koren, P.W. Hemker

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

Multi-dimensional upwind discretization. for the steady Euler equations are studied, with the emphasis on both a good accuracy and a good efficiency. The discretizations consist of a one-dimensional Riemann solver with locally rotated left and right cell face states, the rotation angle depending on the local flow solution. First, on the basis of a linear, scalar model equation, a study is made of the accuracy and stability properties of these schemes. Next the extension is made to the steady Euler equations. It is shown that for Euler flows, an appropriate local rotation angle can be found by maximizing a Riemann invariant along the middle subpath of the wave path in state space. For the steady, two-dimensional Euler equations, numerical results are presented for some supersonic test cases with either oblique contact discontinuity or oblique shock wave.
Original languageEnglish
Title of host publicationProceedings of the 9th GAMM Conference on Numerical Methods in Fluid Mechanics, 25-27 September 1991, Lausanne, Switzerland
EditorsJ.B. Vos, A. Rizzi, I.L. Ryhming
Place of PublicationBraunschweig/Wiesbaden
PublisherVieweg
Pages89-98
Publication statusPublished - 1992
Eventconference; Ninth GAMM Conference on Numerical Methods in Fluid Mechanics; 1991-09-25; 1991-09-27 -
Duration: 25 Sep 199127 Sep 1991

Publication series

NameNotes on Numerical Fluid Mechanics
Volume35
ISSN (Print)0179-9614

Conference

Conferenceconference; Ninth GAMM Conference on Numerical Methods in Fluid Mechanics; 1991-09-25; 1991-09-27
Period25/09/9127/09/91
OtherNinth GAMM Conference on Numerical Methods in Fluid Mechanics

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    Koren, B., & Hemker, P. W. (1992). Multi-D upwinding and multigridding for steady Euler flow computations. In J. B. Vos, A. Rizzi, & I. L. Ryhming (Eds.), Proceedings of the 9th GAMM Conference on Numerical Methods in Fluid Mechanics, 25-27 September 1991, Lausanne, Switzerland (pp. 89-98). (Notes on Numerical Fluid Mechanics; Vol. 35). Vieweg.