# On pressure-velocity coupled time-integration of incompressible Navier-Stokes equations using direct inversion of Stokes operator or accelerated multigrid technique

@inproceedings{Feldman2009OnPC, title={On pressure-velocity coupled time-integration of incompressible Navier-Stokes equations using direct inversion of Stokes operator or accelerated multigrid technique}, author={Yuri Feldman and Alexander Gelfgat}, year={2009} }

- Published 2009
DOI:10.1016/j.compstruc.2009.01.013

Two fully pressure–velocity coupled approaches to time-integration of twoand three-dimensional Navier–Stokes equations discretized by finite volume method are proposed and verified. The first approach utilizes a direct sparse matrix solver to inverse the Stokes operator. In the second approach a multigrid iterative solver is accelerated by a modification of CLGS smoother that allows for derivation of an analytical solution for velocity and pressure corrections belonging to a whole row or column… CONTINUE READING