Stable Robin solid wall boundary conditions for the Navier-Stokes equations

被引:20
作者
Berg, Jens [1 ]
Nordstrom, Jan [2 ]
机构
[1] Uppsala Univ, Div Comp Sci, Dept Informat Technol, SE-75105 Uppsala, Sweden
[2] Linkoping Univ, Dept Math, SE-58183 Linkoping, Sweden
关键词
Navier-Stokes; Robin boundary conditions; Well-posedness; Stability High order accuracy; Summation-By-Parts; FINITE-DIFFERENCE APPROXIMATIONS; PARTS OPERATORS; ORDER; SUMMATION; DERIVATIVES; ACCURACY; SCHEME;
D O I
10.1016/j.jcp.2011.06.027
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
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. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码:7519 / 7532
页数:14
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