Improved Implicit Immersed Boundary Method via Operator Splitting

被引：5

作者：

Cai, Shang-Gui ^{[1
]}

Ouahsine, Abdellatif ^{[1
]}

Favier, Julien ^{[2
]}

Hoarau, Yannick ^{[3
]}

机构：

[1] Univ Technol Compiegne, Univ Paris 04, CNRS, UMR Roberval 7337,Ctr Rech Royallieu, F-60203 Compiegne, France

[2] Aix Marseille Univ, CNRS, Cent Marseille, M2P2,UMR 7340, F-13451 Marseille, France

[3] Strasbourg Univ, ICUBE, UMR 7357, 2 Rue Boussingault, F-67000 Strasbourg, France

来源：

COMPUTATIONAL METHODS FOR SOLIDS AND FLUIDS: MULTISCALE ANALYSIS, PROBABILITY ASPECTS AND MODEL REDUCTION | 2016年 / 41卷

关键词：

CIRCULAR-CYLINDER; FINITE-DIFFERENCE; FLOW; SIMULATION;

D O I：

10.1007/978-3-319-27996-1_3

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We present an implicit immersed boundary method via operator splitting technique for simulating fluid flow over moving solid with complex shape. An additional moving force equation is derived in order to impose the interface velocity condition exactly on the immersed surface. The moving force matrix is formulated to be symmetric and positive definite, thus its calculation is computational inexpensive by using the conjugate gradient method. Moreover, the proposed immersed boundary method is incorporated into the rotational incremental projection method as a plug-in. No numerical boundary layers will be generated towards the velocity and pressure during the calculation. The method is validated through various benchmark tests.

引用

页码：49 / 66

页数：18

共 22 条

[1] An efficient implicit direct forcing immersed boundary method for incompressible flows [J].