Upwind Differencing, False Scaling, and Non-Physical Solutions to the Driven Cavity Problem.

Abstract

We show that for multi-dimensional viscous flow computations the use of upwind finite difference schemes can alter the natural length scales. This false scaling is related to, but distinct from, the artificial viscosity introduced by upwind schemes. We show that this false scaling can account for certain non-physical solutions which have been computed for the driven cavity problem.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1981
Accession Number
ADA114626

Entities

People

  • John C. Strikwerda

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Aspect Ratio
  • Boundary Layer
  • Contracts
  • Difference Equations
  • Differential Equations
  • Equations
  • Flow
  • Fluid Flow
  • Mathematics
  • Navier Stokes Equations
  • North Carolina
  • Numerical Analysis
  • Steady Flow
  • United States
  • Viscosity
  • Viscous Flow
  • Wisconsin

Fields of Study

  • Physics

Readers

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