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
收藏
页码：61 / 80
页数：20
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