ALTERNATIVE FINITE DIFFERENCE APPROXIMATIONS FOR THE VISCOUS GENERATION OF VORTICITY AT A STATIONARY FLUID BOUNDARY,

Abstract

The viscous decay of solid body rotation in a circular two-dimensional container is studied using a vorticity-stream-function finite-difference scheme. A comparison is made with the well known analytic solution to determine the accuracy of several finite difference expressions for the wall vorticity. The most accurate results are obtained with a first order scheme that conserves the net integrated vorticity. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1969
Accession Number
AD0697669

Entities

People

  • R. C. Beardsley

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Bodies
  • Boundaries
  • Containers
  • Demographic Cohorts
  • Rotation
  • Solid Bodies
  • Stationary
  • Two Dimensional

Fields of Study

  • Physics

Readers

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