Iterative Methods and Finite Difference Schemes for Incompressible Flow,

Abstract

We consider several methods for solving the linear equations arising from finite difference discretizations of the Stokes equations. The two best methods, one presented here for the first time, apparently, and a second, presented by Bramble and Pasciak, are shown to have computational effort that grows slowly with the number of grid points. The methods work with second-order accurate discretizations. Computational results are show for both the Stokes and incompressible Navier-Stokes at low Reynolds number.

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1992
Accession Number
ADP006608

Entities

People

  • Dongho Shin
  • John C. Strikwerda

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Formulas (Mathematics)
  • Incompressible Flow
  • Mathematics
  • Minnesota
  • Reynolds Number

Fields of Study

  • Mathematics
  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematics or Statistics