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Stable Robin solid ...
Stable Robin solid wall boundary conditions for the Navier-Stokes equations
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- Berg, Jens (författare)
- Uppsala universitet,Avdelningen för teknisk databehandling,Numerisk analys,Uppsala University, Department of Information Technology
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- Nordström, Jan (författare)
- Linköpings universitet,Tekniska högskolan,Beräkningsvetenskap
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(creator_code:org_t)
- Elsevier BV, 2011
- 2011
- Engelska.
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Ingår i: Journal of Computational Physics. - : Elsevier BV. - 0021-9991 .- 1090-2716. ; 230:19, s. 7519-7532
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Navier–Stokes; Robin boundary conditions; Well-posedness; Stability; High order accuracy; Summation-By-Parts
- Applied mathematics
- Tillämpad matematik
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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