Unconditionally Stable Pressure-Correction Schemes for a Nonlinear Fluid-Structure Interaction Model

被引：2

作者：

He, Ying ^{[1
]}

Shen, Jie ^{[1
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 1卷 / 01期

关键词：

Fluid-structure interaction; Pressure correction; Stability analysis; STOKES EQUATIONS; ALGORITHMS; 2ND-ORDER; EFFICIENT; SOLVERS;

D O I：

10.1007/s42967-019-0004-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider in this paper numerical approximation of a nonlinear fluid-structure interaction (FSI) model with a fixed interface. We construct a new class of pressure-correction schemes for the FSI problem, and prove rigorously that they are unconditionally stable. These schemes are computationally very efficient, as they lead to, at each time step, a coupled linear elliptic system for the velocity and displacement in the whole region and a discrete Poisson equation in the fluid region.

引用

页码：61 / 80

页数：20

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