Computer Programs for Calculating Small Disturbance Transonic Flows about Oscillating Planar Wings

Abstract

Computer programs are described which implement a small disturbance potential flow theory for the three-dimensional unsteady transonic flow about rectangular planar wings undergoing harmonic oscillations. The theory is based upon the treatment of the unsteady flow as a small perturbation to the steady transonic flow. Separating the perturbation potential into a steady and unsteady component results in a pair of coupled boundary value problems for the components. The governing equation for the steady perturbation potential is the usual nonlinear transonic potential equation and it is solved in computer program TDSTRN using the mixed differencing relaxation procedure of Murman and Cole. The governing equation for the unsteady perturbation potential is linear and, for the harmonic boundary disturbance considered, of mixed elliptic hyperbolic type depending on the local nature of the steady potential. Using a steady solution previously generated by TDSTRN computer program TDUTRN solves the unsteady potential equation by the same relaxation procedure. The solution procedures are found to be quite efficient, permitting the calculation of unsteady aerodynamic forces to engineering accuracy in a few minutes on a CDC 6600 computer.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1975
Accession Number
ADB007943

Entities

People

  • E. D. Albano
  • J. L. Farr Jr.
  • R. M. Traci

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Aerodynamic Forces
  • Air Force
  • Boundary Value Problems
  • Computer Programs
  • Computers
  • Difference Equations
  • Differential Equations
  • Equations
  • Flow
  • Government Procurement
  • Governments
  • Mach Number
  • Test And Evaluation
  • Three Dimensional
  • Transonic Flow
  • Two Dimensional
  • Unsteady Flow

Fields of Study

  • Physics

Readers

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