Deflated preconditioned conjugate gradient solvers for the pressure-Poisson equation: Extensions and improvements

Extensions and improvements to a deflated preconditioned conjugate gradient technique for the solution of the pressure-Poisson equation within an incompressible flow solver are described. In particular, the use of the technique for embedded grids, for cases where volume of fluid or level set schemes are required and its implementation on parallel machines are considered. Several examples are included that demonstrate a considerable reduction in the number of iterations and a remarkable insensitivity to the number of groups/regions chosen and/or to the way the groups are formed. Copyright (C) 2010 John Wiley & Sons, Ltd.