NUMERICAL SOLUTION OF THE UNSTEADY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS ON THE CURVILINEAR HALF-STAGGERED MESH

• 来源期刊: 计算数学(英文版)
• 关键词: Unsteady incompressible Navier-Stokes equations Curvilinear half- staggered mesh Discrete projection.
• 年，卷（期）: 2000,（5）
• 页码范围: 521-540
• 页数: 20页
• 语种: 英文

摘要

In this paper, the Crank-Nicholson + component-consistent pressure correction method for the numerical solution of the unsteady incompressible Navier-Stokes equation of [1] on the rectangular half-staggered mesh has been extended to the curvilinear half-staggered mesh. The discrete projection, both for the projection step in the solution procedure and for the related differential-algebraic equations, has been carefully studied and verified. It is proved that the proposed method is also unconditionally (in△t) nonlinearly stable on the curvilinear mesh, provided the mesh is not too skewed. It is seen that for problems with an outflow bound- ary, the half-staggered mesh is especially advantageous. Results of preliminary numerical experiments support these claims.