A Parallel Domain Decomposition Algorithm for Simulating Blood Flow with Incompressible Navier-Stokes Equations with Resistive Boundary Condition

作     者：Yuqi Wu Xiao-Chuan Cai 

作者机构：Department of Applied MathematicsUniversity of Colorado at BoulderBoulderCO 80309USA Department of Computer ScienceUniversity of Colorado at BoulderBoulderCO 80309USA 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2012年第11卷第4期

页      面：1279-1299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：Special thanks to Andrew Barker for his previous work on this project and to Zhenbi Su Kendall Hunter and Robin Shandas for helpful discussions and acquiring clinical data for our model 

主　　题：Fluid-structure interaction blood flow mesh movement resistive boundary condition additive Schwarz domain decomposition parallel computing 

摘      要：We introduce and study a parallel domain decomposition algorithm for the simulation of blood flow in compliant arteries using a fully-coupled system of nonlinear partial differential equations consisting of a linear elasticity equation and the incompressible Navier-Stokes equations with a resistive outflow boundary *** system is discretized with a finite element method on unstructured moving meshes and solved by a Newton-Krylov algorithm preconditioned with an overlapping restricted additive Schwarz *** resistive outflow boundary condition plays an interesting role in the accuracy of the blood flow simulation and we provide a numerical comparison of its accuracy with the standard pressure type boundary *** also discuss the parallel performance of the implicit domain decomposition method for solving the fully coupled nonlinear system on a supercomputer with a few hundred processors.