Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 227, Issue 24, Pages 10196-10208Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2008.08.025
Keywords
Conjugate gradients; Pressure-Poisson equation; incompressible flow solvers; Finite elements; CFD
Funding
- DTRA
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A deflated preconditioned conjugate gradient technique has been developed for the solution of the Pressure-Poisson equation within an incompressible flow solver. The deflation is done using a region-based decomposition of the unknowns, making it extremely simple to implement. The procedure has shown a considerable reduction in the number of iterations. For grids with large graph-depth the savings exceed an order of magnitude. Furthermore, the technique has shown a remarkable insensitivity to the number of groups/regions chosen, and to the way the groups are formed. (C) 2008 Published by Elsevier Inc.
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