Simulation of Viscous Steady Flow Past An Arbitrary Two-Dimensional Body.

Abstract

A numerical technique is developed for solving laminar steady flow past an arbitrary two-dimensional body. A system of body oriented coordinates is first generated numerically by means of the transformation of Thompson et al. The vorticity-stream function Navier-Stokes equations are then solved by-the Alternating Direction Implicit procedure of Douglas and Gunn. A relaxation-like time derivative is added to the stream function equation and the vorticity equation is linearized in time so that only the converged steady solution has physical meaning. Numerical results are presented for two model problems (a one dimensional Poiseuille flow and the driven cavity problem) and for flow past a NACA 0012 airfoil for moderate to high values of the Reynolds Number. Finally, advantages and limitations for the proposed algorithm are briefly addressed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1980
Accession Number
ADA086799

Entities

People

  • Michele Napolitano

Organizations

  • University of Dayton

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Cyber

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Equations
  • Flow Fields
  • Fluid Dynamics
  • Hydrodynamics
  • Navier Stokes Equations
  • Numerical Analysis
  • Poiseuille Flow
  • Reynolds Number
  • Steady Flow
  • Steady State
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Mathematics

Readers

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