A PARALLEL VARIATIONAL MULTISCALE METHOD FOR INCOMPRESSIBLE FLOWS BASED ON THE PARTITION OF UNITY

被引：0
|
作者：
Xie, Cong [1 ]
Zheng, Haibiao [2 ]
机构：
[1] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2014年 / 11卷 / 04期
关键词：
Incompressible flows; variational multiscale method; local and parallel; partition of unity; oversampling; NAVIER-STOKES EQUATIONS; FINITE-ELEMENT ALGORITHMS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A parallel variational multiscale method based on the partition of unity is proposed for incompressible flows in this paper. Based on two-grid method, this algorithm localizes the global residual problem of variational multiscale method into a series of local linearized residual problems. To decrease the undesirable effect of the artificial homogeneous Dirichlet boundary condition of local sub-problems, an oversampling technique is also introduced. The globally continuous finite element solutions are constructed by assembling all local solutions together using the partition of unity functions. Numerical simulations demonstrate the high efficiency and flexility of the new algorithm.
引用
收藏
页码：854 / 865
页数：12
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