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

作     者：Ying He Jie Shen 

作者机构：Department of MathematicsPurdue UniversityWest LafayetteIN 47907USA 

出 版 物：《Communications on Applied Mathematics and Computation》 (应用数学与计算数学学报（英文）)

年 卷 期：2019年第1卷第1期

页      面：61-80页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：National Science Foundation, NSF, (DMS-1620262, DMS-1720442) National Science Foundation, NSF Air Force Office of Scientific Research, AFOSR, (FA9550-16-1-0102) Air Force Office of Scientific Research, AFOSR 

主　　题：Fluid-structure interaction Pressure correction Stability analysis 

摘      要：We consider in this paper numerical approximation of a nonlinear fluid-structure interac丒 tion(FSI)model with a fixed *** construct a new class of pressure-correction schemes for the FSI problem,and prove rigorously that they are unconditionally *** 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.