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Stable Robin solid wall boundary conditions for the Navier-Stokes equations
Uppsala University, Department of Information Technology.
Linköpings universitet, Tekniska högskolan. Linköpings universitet, Matematiska institutionen, Beräkningsvetenskap.ORCID-id: 0000-0002-7972-6183
2011 (engelsk)Inngår i: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 230, nr 19, s. 7519-7532Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

In this paper we prove stability of Robin solid wall boundary conditions for the compressible Navier–Stokes equations. Applications include the no-slip boundary conditions with prescribed temperature or temperature gradient and the first order slip-flow boundary conditions. The formulation is uniform and the transitions between different boundary conditions are done by a change of parameters. We give different sharp energy estimates depending on the choice of parameters.

The discretization is done using finite differences on Summation-By-Parts form with weak boundary conditions using the Simultaneous Approximation Term. We verify convergence by the method of manufactured solutions and show computations of flows ranging from no-slip to almost full slip.

sted, utgiver, år, opplag, sider
2011. Vol. 230, nr 19, s. 7519-7532
Emneord [en]
Navier–Stokes; Robin boundary conditions; Well-posedness; Stability; High order accuracy; Summation-By-Parts
HSV kategori
Identifikatorer
URN: urn:nbn:se:liu:diva-70019DOI: 10.1016/j.jcp.2011.06.027ISI: 000294979400027OAI: oai:DiVA.org:liu-70019DiVA, id: diva2:435413
Merknad
Original Publication: Jens Berg and Jan Nordström, Stable Robin solid wall boundary conditions for the Navier-Stokes equations, 2011, Journal of Computational Physics, (230), 19, 7519-7532. http://dx.doi.org/10.1016/j.jcp.2011.06.027 Copyright: Elsevier http://www.elsevier.com/ Tilgjengelig fra: 2011-08-23 Laget: 2011-08-15 Sist oppdatert: 2017-12-08bibliografisk kontrollert

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