A DIMENSION SPLITTING AND CHARACTERISTIC PROJECTION METHOD FOR THREE-DIMENSIONAL INCOMPRESSIBLE FLOW

被引：5

作者：

Chen, Hao ^{[1
,2
]}

Li, Kaitai ^{[3
]}

Chu, Yuchuan ^{[4
,5
]}

Chen, Zhiqiang ^{[2
]}

Yang, Yiren ^{[1
]}

机构：

[1] Southwest Jiaotong Univ, Sch Mech & Engn, Chengdu 610031, Sichuan, Peoples R China

[2] Univ Missouri, Dept Civil & Mech Engn, Kansas City, MO 64110 USA

[3] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China

[4] Dongguan Univ Technol, Sch Mech Engn, Dongguan 523000, Peoples R China

[5] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 64509 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2019年 / 24卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Dimension splitting method; characteristics method; projection method; finite element method; three-dimensional incompressible flow; NAVIER-STOKES EQUATIONS; DOMINATED DIFFUSION-PROBLEMS; DRIVEN CAVITY FLOW; FINITE-ELEMENT; RECIRCULATING FLOW; CONVERGENCE;

D O I：

10.3934/dcdsb.2018111

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A dimension splitting and characteristic projection method is proposed for three-dimensional incompressible flow. First, the characteristics method is adopted to obtain temporal semi-discretization scheme. For the remaining Stokes equations we present a projection method to deal with the incompressibility constraint. In conclusion only independent linear elliptic equations need to be calculated at each step. Furthermore on account of splitting property of dimension splitting method, all the computations are carried out on two-dimensional manifolds, which greatly reduces the difficulty and the computational cost in the mesh generation. And a coarse-grained parallel algorithm can be also constructed, in which the two-dimensional manifold is considered as the computation unit.

引用

页码：127 / 147

页数：21

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