A finite volume unstructured multigrid method for efficient computation of unsteady incompressible viscous flows

Chin Hoe Tai, Yong Zhao

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

An unstructured non-nested multigrid method is presented for efficient simulation of unsteady incompressible Navier-Stokes flows. The Navier-Stokes solver is based on the artificial compressibility approach and a higher-order characteristics-based finite-volume scheme on unstructured grids. Unsteady flow is calculated with an implicit dual time stepping scheme. For efficient computation of unsteady viscous flows over complex geometries, an unstructured multigrid method is developed to speed up the convergence rate of the dual time stepping calculation. The multigrid method is used to simulate the steady and unsteady incompressible viscous flows over a circular cylinder for validation and performance evaluation purposes. It is found that the multigrid method with three levels of grids results in a 75% reduction in CPU time for the steady flow calculation and 55% reduction for the unsteady flow calculation, compared with its single grid counterparts. The results obtained are compared with numerical solutions obtained by other researchers as well as experimental measurements wherever available and good agreements are obtained.

Original languageEnglish
Pages (from-to)59-84
Number of pages26
JournalInternational Journal for Numerical Methods in Fluids
Volume46
Issue number1
DOIs
Publication statusPublished - Sep 10 2004

Keywords

  • High-order scheme
  • Incompressible flow
  • Multigrid
  • Unsteady flow
  • Unstructured grid

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

Fingerprint Dive into the research topics of 'A finite volume unstructured multigrid method for efficient computation of unsteady incompressible viscous flows'. Together they form a unique fingerprint.

Cite this