Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations

JOURNAL OF COMPUTATIONAL PHYSICS

卷:231

Article

Nordstrom, Jan¹  Eriksson, Sofia²  Eliasson, Peter³ 

[1] Linkoping Univ, Dept Math Sci Comp, SE-58183 Linkoping, Sweden

[2] Uppsala Univ, Dept Informat Technol Sci Comp, SE-75105 Uppsala, Sweden

[3] Swedish Def Res Agcy, FOI, Dept Aeronaut & Syst Integrat, SE-16490 Stockholm, Sweden

关键词: Navier-Stokes;    Steady-state;    Boundary conditions;    Convergence;    Summation-by-parts;   

DOI  :  10.1016/j.jcp.2012.04.007

来源: Elsevier

【 摘 要 】

We study the influence of different implementations of no-slip solid wall boundary conditions on the convergence to steady-state of the Navier-Stokes equations. The various approaches are investigated using the energy method and an eigenvalue analysis. It is shown that the weak implementation is superior and enhances the convergence to steady-state for coarse meshes. It is also demonstrated that all the stable approaches produce the same convergence rate as the mesh size goes to zero. The numerical results obtained by using a fully nonlinear finite volume solver support the theoretical findings from the linear analysis. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free