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Parallel Algorithms for Simulation of Blood Flow in Human Artery
Date: 2018/7/2             Browse: 87

Speaker:     Prof. Xiao-Chuan Cai. Colorado

Time:          10:15—11:15, July 2 

Location:    Room 1A-200, SIST Building

Host:          Prof. Qifeng Liao

Abstract:

We discuss a parallel multilevel domain decomposition algorithm for the simulation of blood flows in arteries by solving a system of nonlinear partial differential equations consisting of an elasticity equation for the artery and an incompressible Navier-Stokes system for the blood flow. The system is discretized with a finite element method on unstructured moving meshes in 3D and solved by a Newton-Krylov algorithm preconditioned with an overlapping Schwarz method. A non-standard, isogeometric coarse mesh is introduced to ensure that the algorithm is scalable in terms of the total compute time when the number of processors is large. Several mathematical, bio-mechanical, and supercomputing issues will be discussed in detail. Simulation of blood flows in patient-specific arteries will be presented.

Bio: 

 X.-C. Cai received his PhD in 1989 from Courant Institute, New York University. He was a postdoc during 1989-1990 at Yale University. During 1990-1993, he held the position of an Assistant Professor at the University of Kentucky. Since 1993, he has been a professor in the Department of Computer Science, University of Colorado Boulder, and the positions he held include Director of Graduate Studies (2002-2007) and Department Chair (2007-2011). He is also an affiliated faculty member in the Department of Applied Mathematics. He is a SIAM Fellow.

SIST-Seminar 18058