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

K. Burckhardt, D. Szczerba, J. Brown, K. Muralidhar, and G. Székely
Euro-Par 2009 Parallel Processing
Berlin / Heidelberg, August 2009

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.


Link to publisher's page
@InProceedings{eth_biwi_00721,
  author = {K. Burckhardt and D. Szczerba and J. Brown and K. Muralidhar and and G. Székely},
  title = {Fast Implicit Simulation of Oscillatory Flow in Human Abdominal Bifurcation using a Schur Complement Preconditioner},
  booktitle = {Euro-Par 2009 Parallel Processing},
  year = {2009},
  month = {August},
  pages = {747-759},
  volume = {5704},
  editor = {H. Sips and D. Epema and and H.-X. Lin},
  series = { Lecture Notes in Computer Science},
  publisher = {Springer},
  keywords = {Aortic aneurysm, flow simulation, streamline diffusion FEM, indefinite matrix, parallel Krylov solver}
}