Numerical simulation of 2D square driven cavity using fourth-order compact finite difference schemes

Jun Zhang

Research output: Contribution to journalArticlepeer-review

41 Scopus citations

Abstract

Fourth-order compact finite difference schemes are employed with multigrid techniques to simulate the two-dimensional square driven cavity flow with small to large Reynolds numbers. The governing Navier-Stokes equation is linearized in streamfunction and vorticity formulation. The fourth-order compact approximation schemes are coupled with fourth-order approximations for velocities and vorticity boundaries. Numerical solutions are obtained for square driven cavity flow at high Reynolds numbers and are compared with solutions obtained by other researchers using other approximation methods.

Original languageEnglish
Pages (from-to)43-52
Number of pages10
JournalComputers and Mathematics with Applications
Volume45
Issue number1-3
DOIs
StatePublished - 2003

Keywords

  • Convection diffusion equation
  • Fourth-order compact discretization
  • Incompressible Navier-Stokes equations
  • Multigrid method
  • Square driven cavity problem

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

Fingerprint

Dive into the research topics of 'Numerical simulation of 2D square driven cavity using fourth-order compact finite difference schemes'. Together they form a unique fingerprint.

Cite this