Development of Perturbation Procedures for Nonlinear Inviscid and Viscous Flows.

Abstract

The perturbation theory for transonic flow is further developed for two and three dimensional problems. The physical perturbation theory, in which the perturbation parameter is a physical quantity, is applied to solutions of the Navier-Stokes equations in two dimensions. The mathematical perturbation theory, in which the perturbation parameter is a measure of the difference between approximate and exact solutions, is applied both to the three-dimensional potential flow problems and to the two-dimensional Navier-Stokes equations. The strained coordinate technique is used to treat changes in location of any shock waves or large gradients. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1980
Accession Number
ADA081531

Entities

People

  • David Nixon

Organizations

  • Nielsen Engineering & Research (United States)

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Computational Fluid Dynamics
  • Computational Science
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Euler Equations
  • Flow
  • Fluid Flow
  • Geometry
  • Navier Stokes Equations
  • Perturbation Theory
  • Pressure Distribution
  • Three Dimensional
  • Transonic Flow
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)