Integral Equation Formulation for Three-Dimensional Unsteady Transonic Flow.

Abstract

The unsteady transonic small perturbation differential equation is converted into an integrodifferential equation by application of the classical Green's function method. It is shown that no contribution form sock waves explicitly appears in this integral equation, due to the shock capturing properties of the Green's function method. After assuming that the motion consists of small infinitesimal perturbations around a thin nearly-planar body, a simplified integral equation for the streamwise velocity component is obtained, which is suitable for fast numerical computations. Keywords: Unsteady flow; Transonic flow; Three-dimensional flow. (Australia)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1985
Accession Number
ADA159473

Entities

People

  • J. A. Gear

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Computational Science
  • Computer Programs
  • Department Of Defense
  • Differential Equations
  • Engineering
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Mechanics
  • Free Stream
  • Integral Equations
  • Mach Number
  • Shock Waves
  • Three Dimensional
  • Trailing Edges
  • Transonic Flow

Fields of Study

  • Mathematics
  • Physics

Readers

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