TY - JOUR
T1 - A Parallel Domain Decomposition Algorithm for Simulating Blood Flow with Incompressible Navier-Stokes Equations with Resistive Boundary Condition
AU - Yuqi Wu & Xiao-Chuan Cai
JO - Communications in Computational Physics
VL - 4
SP - 1279
EP - 1299
PY - 2012
DA - 2012/04
SN - 11
DO - http://doi.org/10.4208/cicp.060510.150511s
UR - https://global-sci.org/intro/article_detail/cicp/7411.html
KW - 
AB - <p style="text-align: justify;">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 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 few
hundred processors.</p>