文献类型：期刊文献

英文题名：STABILITY OF AN EFFICIENT NAVIER-STOKES SOLVER WITH NAVIER BOUNDARY CONDITION

作者：Liao, Jie[1];Wang, Xiao-Ping[2]

机构：[1]E China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China;[2]Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China

年份：2012

卷号：17

期号：1

起止页码：153

外文期刊名：DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000296794300007)】；

基金：The authors would like to acknowledge many valuable discussions with Dr. Xianmin Xu. This research is supported in part by the Croucher Foundation grant Z0138 and Hong Kong RGC GRF grants 603107, 604209 and YK0157136, ECUST.

语种：英文

外文关键词：Unconditional stability; pressure separation; Navier boundary condition

摘要：In this paper, we study the stability of an efficient numerical scheme based on pressure separation for the Navier-Stokes equations with Navier slip boundary condition in a bounded domain with smooth boundary. The method was introduced in [7, 8] for the Navier-Stokes equation with no-slip boundary condition which decouples the updates of pressure and velocity through explicit time stepping for pressure. The scheme was shown to be very efficient and unconditionally stable. In this paper, we extend this pressure separation method to the problem with Navier slip boundary condition and prove the unconditional stability of the resulting numerical scheme under certain condition on the curvature of the boundary.