Stable Robin solid wall boundary conditions for the Navier-Stokes equations
2011 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 230, no 19, 7519-7532 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2011. Vol. 230, no 19, 7519-7532 p.
Navier–Stokes; Robin boundary conditions; Well-posedness; Stability; High order accuracy; Summation-By-Parts
IdentifiersURN: urn:nbn:se:liu:diva-70019DOI: 10.1016/j.jcp.2011.06.027ISI: 000294979400027OAI: oai:DiVA.org:liu-70019DiVA: diva2:435413
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.