Numerical Algorithm for Rapid Integration of Turbulence-Model Equations on Elliptic Regions.

Abstract

A numerical algorithm suitable for rapid numerical solution of advanced turbulence-model equations on elliptic regions has been devised. The algorithm is particularly useful for obtaining accurate solutions when (a) one of the dependent variables is singular approaching a solid boundary, and (b) the number of mesh points available to resolve the flowfield is small. The new algorithm is used in conjunction with the MacCormack semi-implicit scheme for solving the time-averaged Navier-Stokes equations to obtain solutions for a laminar Mach 2 boundary layer and for a turbulent Mach 3 boundary layer. In both cases, numerical accuracy is shown to be excellent for meshes having less than 20 points normal to the surfaces. As a corollary result of this study we have shown that, using the new algorithm and the MacCormack scheme, time-averaged Navier-Stokes solutions are now feasible using a microcomputer. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1982
Accession Number
ADA113013

Entities

People

  • David C. Wilcox

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computers
  • Equations
  • Equations Of Motion
  • Fluid Dynamics
  • Fluid Flow
  • Layers
  • Navier Stokes Equations
  • Numerical Analysis
  • Steady State
  • Turbulence
  • Turbulent Flow
  • Turbulent Mixing
  • Viscous Flow

Fields of Study

  • Physics

Readers

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