Immersed Boundary Method for Simulating Interfacial Problems

被引：0

作者：

Lee, Wanho ^{[1
]}

Lee, Seunggyu ^{[2
,3
]}

机构：

[1] Natl Inst Math Sci, Daejeon 34047, South Korea

[2] Gyeongsang Natl Univ, Dept Math, Jinju 52828, South Korea

[3] Gyeongsang Natl Univ, Res Inst Nat Sci, Jinju 52828, South Korea

来源：

MATHEMATICS | 2020年 / 8卷 / 11期

基金：

新加坡国家研究基金会;

关键词：

immersed boundary; interfacial problem; fluid-structure interaction; discrete Dirac-delta function; CIRCULAR-CYLINDERS; MODEL;

D O I：

10.3390/math8111982

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We review the immersed boundary (IB) method in order to investigate the fluid-structure interaction problems governed by the Navier-Stokes equation. The configuration is described by the Lagrangian variables, and the velocity and pressure of the fluid are defined in Cartesian coordinates. The interaction between two different coordinates is involved in a discrete Dirac-delta function. We describe the IB method and its numerical implementation. Standard numerical simulations are performed in order to show the effect of the parameters and discrete Dirac-delta functions. Simulations of flow around a cylinder and movement of Caenorhabditis elegans are introduced as rigid and flexible boundary problems, respectively. Furthermore, we provide the MATLAB codes for our simulation.

引用

页码：1 / 16

页数：16

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