A multigrid approach for steady state laminar viscous flows

作者：Liao, SJ^*; Mashayek, F

来源：International Journal for Numerical Methods in Fluids, 2001, 37(1): 107-123.

DOI：10.1002/fld.170

• multigrid technique
• Navier-Stokes equations
• viscous flow in a lid-driven cavity

In this paper, we use the laminar viscous flow in a lid-driven cavity as an example to describe and verify a numerical scheme for non-linear partial differential equations. The proposed scheme combines a new analytical method for strongly non-linear problems, namely the homotopy analysis method, with the multigrid techniques. A family of formulas at different orders is given. At the lowest order, the current approach is the same as the traditional multigrid methods. However, our high-order scheme needs a fewer number of iterations and less CPU time than the classical ones.

• 出版日期2001-9-15
• 单位上海交通大学