CALCULATION OF HIGH REYNOLDS NUMBER FLOW FIELDS BY NUMERICAL METHODS.

Abstract

A variety of numerical methods for the integration of the unsteady Navier-Stokes equations are studied. It is shown that some of the popular methods introduce artificial viscosity terms which, in the steady state approach, may be of the same order of magnitude as the real viscous terms. Consequently, two implicit difference schemes are introduced which do not show this drawback. One of these schemes, which seems to be new, has the advantage of speed and low storage requirements. However, this scheme turned out to be unstable in the case of the Navier-Stokes equations, although it produced excellent results in the case of the scalar Burgers equation. The second scheme, while not basically new, does not seem to have been previously applied. It has the drawback of requiring longer computation times and large storage capabilities. On the other hand, it remained stable and produced accurate results. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1969
Accession Number
AD0702144

Entities

People

  • Hans U. Thommen

Organizations

  • University of Massachusetts Dartmouth

Tags

DTIC Thesaurus Topics

  • Computations
  • Equations
  • Flow
  • Flow Fields
  • Mathematics
  • Navier Stokes Equations
  • Reynolds Number
  • Steady State
  • Viscosity

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)