Characteristic-based operator-splitting finite element method for Navier-Stokes equations  

作　　者：WANG DaGuo WANG HaiJiao XIONG JuHua THAM L G 

机构地区：[1]Research Center for Numerical Tests on Material Failure, Dalian University, Dalian 116622, China [2]Department of Information Engineering, Dalian University, Dalian 116622, China [3]Department of Underground Construction and Engineering, Tongji University, Shanghai 200092, China [4]Department of Civil and Structural Engineering, The University of Hong Kong, Hong Kong 999077, China

出　　处：《Science China(Technological Sciences)》2011年第8期2157-2166,共10页中国科学（技术科学英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 41072235, 50809008);the Hong Kong Research Grants Council (Grant No. HKU 7171/06E);the National Basic Research Program of China ("973" Project) (Grant No. 2007CB209400);the Natural Science Foundation of LiaoNing Province of China (Grant No. 20102006)

摘　　要：A new finite element method, which is the characteristic-based operator-splitting (CBOS) algorithm, is developed to solve Navier-Stokes (N-S) equations. In each time step, the equations are split into the diffusive part and the convective part by adopting the operator-splitting algorithm. For the diffusive part, the temporal discretization is performed by the backward difference method which yields an implicit scheme and the spatial discretization is performed by the standard Galerkin method. The convective part can be discretized using the characteristic Galerkin method and solved explicitly. The driven square flow and backward-facing step flow are conducted to validate the model. It is shown that the numerical results agree well with the standard solutions or existing experimental data, and the present model has high accuracy and good stability. It provides a prospective research method for solving N-S equations.

关 键 词：N-S equations CBOS algorithm finite element method 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术] O357.1[自动化与计算机技术—计算机科学与技术]