Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
519346 | Journal of Computational Physics | 2011 | 14 Pages |
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.
► Robin solid wall boundary conditions for the compressible Navier–Stokes equations is investigated. ► Stability is proven with sharp estimates. ► Convergence is verified by using the method of manufactured solutions. ► Applications of Robin solid wall boundary conditions are discussed and shown by computations.