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Volume 9, Issue 3
Extrapolation-Based Acceleration of Iterative Solvers: Application to Simulation of 3D Flows

Leopold Grinberg & George Em Karniadakis

DOI: 10.4208/cicp.301109.080410s

Commun. Comput. Phys., 9 (2011), pp. 607-626.

Published online: 2011-03

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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.

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@Article{CiCP-9-607, author = {Leopold Grinberg and George Em Karniadakis}, title = {Extrapolation-Based Acceleration of Iterative Solvers: Application to Simulation of 3D Flows}, journal = {Communications in Computational Physics}, year = {2011}, volume = {9}, number = {3}, pages = {607--626}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.301109.080410s}, url = {http://global-sci.org/intro/article_detail/cicp/7513.html} }
TY - JOUR T1 - Extrapolation-Based Acceleration of Iterative Solvers: Application to Simulation of 3D Flows AU - Leopold Grinberg & George Em Karniadakis JO - Communications in Computational Physics VL - 3 SP - 607 EP - 626 PY - 2011 DA - 2011/03 SN - 9 DO - http://doi.org/10.4208/cicp.301109.080410s UR - https://global-sci.org/intro/article_detail/cicp/7513.html KW - AB -

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.

Leopold Grinberg and George Em Karniadakis. (2011). Extrapolation-Based Acceleration of Iterative Solvers: Application to Simulation of 3D Flows. Communications in Computational Physics. 9 (3). 607-626. doi:10.4208/cicp.301109.080410s
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