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

Yuri Feldman, Alexander Yu Gelfgat

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

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.

Original languageEnglish
Pages (from-to)710-720
Number of pages11
JournalComputers and Structures
Volume87
Issue number11-12
DOIs
StatePublished - 1 Jun 2009
Externally publishedYes

Keywords

  • Free convection
  • Multigrid
  • Pressure-velocity coupling

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modeling and Simulation
  • Materials Science (all)
  • Mechanical Engineering
  • Computer Science Applications

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