Implicitly Coupled Methods for the Simulation of Blood Flow in Compliant Artery
Professor Xiao-Chuan CaiDepartment of Computer Science, University of Colorado 上午 10:30–11:30 鴻經館 107 室We discuss 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 condition. The 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 method. The 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 condition. We also discuss the parallel performance of the implicit domain decomposition method for solving the fully coupled nonlinear system on a supercomputer with a large number of processors. This is a joint work with A. Barker and Y. Wu.