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

  • Authors:

  • Yuri Feldman;Alexander Yu. Gelfgat

  • Affiliations:

  • School of Mechanical Engineering, Faculty of Engineering, Tel-Aviv University, Ramat Aviv, Tel Aviv 69978, Israel;School of Mechanical Engineering, Faculty of Engineering, Tel-Aviv University, Ramat Aviv, Tel Aviv 69978, Israel

  • Venue:
  • Computers and Structures
  • Year:
  • 2009

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Abstract

Two fully pressure-velocity coupled approaches to time-integration of two- and 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 of finite volumes. Both approaches are tested by two- and three-dimensional natural convection benchmark problems. It is concluded that the analytical solution accelerated CLGS technique (ASA-CLGS) can be considered as a promising tool for solution of time-dependent three-dimensional fluid dynamics problems.