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A Cartesian Embedded Boundary Method for the Compressible Navier-Stokes Equations
Universitè Pierre et Marie Curie, Paris , France.
2009 (English)In: Journal of Scientific Computing, ISSN 0885-7474, E-ISSN 1573-7691, ISSN 0885-7474, Vol. 41, no 1, 94-117 p.Article in journal (Refereed) Published
Abstract [en]

We here generalize the embedded boundary method that was developed for boundary discretizations of the wave equation in second order formulation in Kreiss et al. (SIAM J. Numer. Anal. 40(5):1940-1967, 2002) and for the Euler equations of compressible fluid flow in Sjogreen and Peterson (Commun. Comput. Phys. 2:1199-1219, 2007), to the compressible Navier-Stokes equations. We describe the method and we implement it on a parallel computer. The implementation is tested for accuracy and correctness. The ability of the embedded boundary technique to resolve boundary layers is investigated by computing skin-friction profiles along the surfaces of the embedded objects. The accuracy is assessed by comparing the computed skin-friction profiles with those obtained by a body fitted discretization.

Place, publisher, year, edition, pages
2009. Vol. 41, no 1, 94-117 p.
Keyword [en]
Embedded boundary, Compressible fluids, Navier-Stokes equations, Finite difference scheme
National Category
Computer Science
URN: urn:nbn:se:kth:diva-14222DOI: 10.1007/s10915-009-9289-xISI: 000269533300006ScopusID: 2-s2.0-69949109555OAI: diva2:331794

QC 20100726

Available from: 2010-07-26 Created: 2010-07-26 Last updated: 2014-04-09Bibliographically approved
In thesis
1. Compressible Turbulent Flows: LES and Embedded Boundary Methods
Open this publication in new window or tab >>Compressible Turbulent Flows: LES and Embedded Boundary Methods
2009 (English)Doctoral thesis, comprehensive summary (Other academic)
Place, publisher, year, edition, pages
Stockholm: Universitetsservice US AB, 2009. xvi, 82 p.
Trita-CSC-A, ISSN 1653-5723 ; 2009:05
LES, Embedded Boundary methods, Compressible flow, turbulent flow
National Category
Computational Mathematics Other Physics Topics Fluid Mechanics and Acoustics
urn:nbn:se:kth:diva-10090 (URN)978-91-7415-258-6 (ISBN)
Public defence
2009-04-02, F3, Lindstedtsvägen 26, KTH, 13:15 (English)
QC 20100726Available from: 2009-05-05 Created: 2009-03-12 Last updated: 2010-07-26Bibliographically approved

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Kupiainen, Marco
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