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Extrapolation-Based Acceleration of Iterative Solvers: Application to Simulation of 3D Flows

Published online by Cambridge University Press:  20 August 2015

Leopold Grinberg  and
George Em Karniadakis
Leopold Grinberg*
Affiliation:
Division of Applied Mathematics, Brown University, Providence 02912, USA
George Em Karniadakis*
Affiliation:
Division of Applied Mathematics, Brown University, Providence 02912, USA
*
Corresponding author.Email:lgrinb@dam.brown.edu
Email:gk@dam.brown.edu
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Abstract

We investigate the effectiveness of two extrapolation-based methods aiming to approximate the initial state required by an iterative solver in simulations of unsteady flow problems. The methods lead to about a ten-fold reduction in the iteration count while requiring only negligible computational overhead. They are particularly suitable for parallel computing since they are based almost exclusively on data stored locally on each processor. Performance has been evaluated in simulations of turbulent flow in a stenosed carotid artery and also in laminar flow in a very large domain containing the human intracranial arterial tree.

Keywords

52B1065D1868U0568U07High-order methodsPODCFDlow-energy preconditioner
Type
Research Article
Information
Communications in Computational Physics , Volume 9 , Issue 3 , March 2011 , pp. 607 - 626
Copyright
Copyright © Global Science Press Limited 2011

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