Fast Implicit Simulation of Oscillatory Flow in Human Abdominal Bifurcation Using a Schur Complement Preconditioner

Authors:
K. Burckhardt;D. Szczerba;J. Brown;K. Muralidhar;G. Székely
Affiliations:
Department of Electrical Engineering, ETH, Zürich, Switzerland;Department of Electrical Engineering, ETH, Zürich, Switzerland and IT'IS Foundation for Research, Zürich, Switzerland;Laboratory of Hydraulics, Hydrology and Glaciology, ETH, Zürich, Switzerland;Department of Mechanical Engineering, IIT Kanpur, India;Department of Electrical Engineering, ETH, Zürich, Switzerland
Venue:
Euro-Par '09 Proceedings of the 15th International Euro-Par Conference on Parallel Processing
Year:
2009

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Abstract

We evaluate a parallel Schur preconditioner for large systems of equations arising from a finite element discretization of the Navier-Stokes equations with streamline diffusion. The performance of the method is assessed on a biomedical problem involving oscillatory flow in a human abdominal bifurcation. Fast access to flow conditions in this location might support physicians in quicker decision making concerning potential interventions. We demonstrate scaling to 8 processors with more than 50% efficiency as well as a significant relaxation of memory requirements. We found an acceleration by up to a factor 9.5 compared to a direct sparse parallel solver at stopping criteria ensuring results similar to a validated reference solution.