Preconditioners for Incompressible Navier-Stokes Solvers  

作　　者：A.Segal M.ur Rehman C.Vuik 

机构地区：[1]Delft University of Technology,Delft Institute of Applied Mathematics and J.M.Burgerscentrum,Mekelweg 4,2628 CD,Delft,The Netherlands

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2010年第3期245-275,共31页高等学校计算数学学报（英文版）

摘　　要：In this paper we give an overview of the present state of fast solvers for the solution of the incompressible Navier-Stokes equations discretized by the finite element method and linearized by Newton or Picard's method.It is shown that block preconditioners form an excellent approach for the solution,however if the grids are not to fine preconditioning with a Saddle point ILU matrix(SILU) may be an attractive alternative. The applicability of all methods to stabilized elements is investigated.In case of the stand-alone Stokes equations special preconditioners increase the efficiency considerably.In this paper we give an overview of the present state of fast solvers for the solution of the incompressible Navier-Stokes equations discretized by the finite element method and linearized by Newton or Picard＇s method. It is shown that block preconditioners form an excellent approach for the solution, however if the grids are not to fine preconditioning with a Saddle point ILU matrix （SILU） may be an attractive alternative. The applicability of all methods to stabilized elements is investigated. In case of the stand-alone Stokes equations special preconditioners increase the efficiency considerably.

关 键 词：Navier-Stokes equations finite element method block preconditioners SIMPLE-typeschemes iterative methods incompressible fluids. 

分 类 号：O241.6[理学—计算数学]