The Application of Difference Methods in Fluid Mechanics.

Abstract

This report outlines the objective and the progress made in achieving some understanding of the difference solutions of complex flow problems in fluid mechanics, which are inevitably computed at rather coarse meshes. We developed a set of difference algorithms, analyzed them as to the behavior of the 'errors' of the difference solutions of some model problems, and then applied them in the computational solution of the two dimensional interaction fields of a shock wave with a boundary layer, both for the laminar and for the turbulent cases with and without separation. The latest algorithm is developed specifically for computational solutions at coarse mesh attainable with a modest computer. We used mostly 1/4 capacity of the IBM 360-91 at Princeton University. It is shown how these solutions with comparable accuracy can be achieved with an order of magnitude reduction in computer time and capability when the new algorithm is used. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1979
Accession Number
ADA069544

Entities

People

  • Sin-i Cheng

Organizations

  • Princeton University

Tags

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Differential Equations
  • Equations
  • Experimental Data
  • Flow Fields
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Laminar Boundary Layer
  • Mechanics
  • Navier Stokes Equations
  • Reynolds Number
  • Shock Waves
  • Steady State
  • Three Dimensional
  • Turbulent Boundary Layer

Fields of Study

  • Physics

Readers

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