Finite Difference Methods for the Stokes and Navier-Stokes Equations.

Abstract

This paper presents a new finite difference scheme for the Stokes equations and incompressible Navier-Stokes equations for low Reynold's number. The scheme uses the primitive variable formulation of the equations and is applicable with non-uniform grids and non-rectangular geometries. Several other methods of solving the Navier-Stokes equations are also examined in this paper and some of their strengths and weaknesses are described. Computational results using the new scheme are presented for the Stokes equations for a region with curved boundaries and for a disc with polar coordinates. The results show the method to be second-order accurate. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1982
Accession Number
ADA116177

Entities

People

  • John C. Strikwerda

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Science
  • Difference Equations
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Fluid Flow
  • Geometry
  • Grids
  • Mathematics
  • Navier Stokes Equations
  • Numerical Analysis
  • Partial Differential Equations
  • Steady State
  • United States

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.