Flow Field Matching.

Abstract

In a transonic flow problem with subsonic freestream in an untransformed infinite flow field, the outer boundary conditions are hard to apply. By assuming that the flow outside an artificial matching boundary is subcritical and linear, a Prandtl-Glauert solution is used (generated by panels of Green's function integrals along the matching boundary) in the far field, while solving the near field by finite differences. The two solutions are joined iteratively by requiring continuity of potential and normal derivative across the matching boundary. Two refinements of this method are examined, also. In one, a locally linearized second-order far field solution (a Poisson equation solution) is used. In the second, a middle field inhabited by large rectangular finite elements is used in the area where the flow is highly nonlinear but still subcritical. This report details only the finite element results, the earlier ones having already been published.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1978
Accession Number
ADA050323

Entities

People

  • Allen W. Chen
  • Ki D. Lee
  • Lawrence J. Dickson
  • Paul E. Rubbert

Organizations

  • Boeing

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundaries
  • Calculus Of Variations
  • Continuity
  • Convergence
  • Discontinuities
  • Equations
  • Errors
  • Far Field
  • Flow
  • Flow Fields
  • Near Field
  • Pressure Distribution
  • Security
  • Three Dimensional
  • Transonic Flow
  • Variational Principles

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Fluid Mechanics and Fluid Dynamics.