An Exact Velocity Potential Solution of Steady, Compressible Flow Over Arbitrary Two-Dimensional and Axisymmetric Bodies in Simply Connected Fields

Abstract

This report discusses the use of the automatic numerical generation of curvilinear body fitted coordinates to solve the exact velocity potential equation for steady, compressible flow over two-dimensional and axisymmetric bodies in simply connected fields. A system of partial differential equations consisting of a Poisson equation for each coordinate direction is used to numerically generate the coordinates. A new, fast method of evaluating non- homogeneous terms for application to the Poisson generation system helps to make the coordinates more orthogonal. The use of these curvilinear coordinates allows the exact velocity potential equations to be easily applied to diverse body shapes and boundaries. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1977
Accession Number
ADA054462

Entities

People

  • Thomas J. Plant

Organizations

  • Flight Dynamics Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Free Stream
  • Hydrodynamics
  • Mach Number
  • Pressure Distribution
  • Specifications
  • Two Dimensional
  • Wind Tunnels

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.