Development of Perturbation Procedures for Nonlinear Inviscid and Viscous Flows.

Abstract

Certain topics on transonic flow theory and on numerical truncation errors have been investigated. In transonic flow theory the extension of the transonic perturbation method to include flows where shock waves vanish and the development of the technique to treat separated flows was undertaken with satisfactory results. Two other topics that were investigated concerned the application of perturbation theory to accelerate convergence of numerical solutions to predict potential flow. Finally, for transonic flow, the development of a 'potential-like' theory to more closely approximate the Euler equations was undertaken. A non-linear truncation error analysis was performed on certain Euler equation algorithms to develop corrections for the solution. An outcome of this work was the derivation of a criteria for use in adaptive mesh techniques. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1982
Accession Number
ADA114825

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
  • Equations
  • Error Analysis
  • Euler Equations
  • Flow
  • Fluid Dynamics
  • Navier Stokes Equations
  • Numerical Analysis
  • Perturbation Theory
  • Perturbations
  • Potential Theory
  • Pressure Distribution
  • Shock Waves
  • Transonic Flow
  • Viscous Flow

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Technical Research and Report Writing.