Department Seminar 1/23 with Leopold Grinberg: Large Scale Simulation of the Human Arterial Tree

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Leopold Grinberg
Leopold Grinberg

Mechanical Engineering Department Seminar

11:00 AM Friday, January 23, 2009 in room 245, Refreshments served at 10:45 AM

 

Leopold Grinberg
Division of Applied Mathematics
Brown University
Large Scale Simulation of the Human Arterial Tree
Blood circulation in the human arterial tree is the envy of every engineer: for an average adult, the blood travels in just one minute more than 60,000 miles. Simulating the human arterial tree is a grand challenge and requires state-of-the-art algorithms and computers. In this talk, I will discuss modeling of arterial flow in a patient-specific intracranial arterial tree and stenosed carotid artery, and present a methodology that overcomes the aforementioned challenge; specifically, I will focus on the following:
a) Modeling of the outflow boundary conditions in flow simulation in complex arterial networks counting multiple outlets, such as intracranial vascular system presented in figure below. The suggested model is based on time-dependent resistance-capacitance low-pass filter.
b) Ultra-scale parallel algorithms and a two-level domain decomposition (2DD) method for solution of Navier-Stokes equations with billions of unknowns on thousands of computer processors. The 2DD combines the discontinuous and continuous Galerkin formulations.
c) Application of a time- and space-window Proper Orthogonal Decomposition (POD) for analysis of intermittent laminar-turbulent flow in stenosed carotid artery and utility of the POD in clinical settings.