Deflated preconditioned conjugate gradient solvers for the Pressure–Poisson equation
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- 作者：Romain Aubry ; Fern ; o Mut ; Rainald Lö ; hner ; Juan R. Cebral
- 关键词：Conjugate gradients ; Pressure– ; Poisson equation ; Incompressible flow solvers ; Finite elements ; CFD
- 刊名：Journal of Computational Physics
- 出版年：2008
- 出版时间：20 December 2008
- 年：2008
- 卷：227
- 期：24
- 页码：10196-10208
- 全文大小：1136 K
文摘
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.