An Analysis of the Inviscid Transonic Flow over Two-Element Airfoil Systems.

Abstract

This report describes the development of a method for numerically computing the inviscid transonic flow field over an airfoil with a leading-edge slat or a trailing-edge flap. The approach is to solve the full inviscid irrotational flow equations about two-element airfoil systems. The methodology consists of the development of a suitable computational plane and grid system through the application of a series of conformal mappings. The appropriate set of equations and boundary conditions are derived in terms of a smoothly varying, single-valued reduced potential function through analytic removal of all singularities in the computational domain. A stable and accurate relaxation procedure is established for the numerical solution of the governing equations. The method is applied to a variety of transonic supercritical two-element airfoil configurations. Results are presented depicting the surface pressure distribution, streamline patterns in the physical and computational domain, and Mach number contours. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1977
Accession Number
ADA043460

Entities

People

  • B. Grossman
  • G. Volpe

Organizations

  • Grumman

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Coefficients
  • Computational Fluid Dynamics
  • Conformal Mapping
  • Equations
  • Flow
  • Flow Fields
  • Geometry
  • High Lift
  • High Lift Devices
  • Leading Edges
  • Mach Number
  • Maps
  • Military Research
  • Pressure Distribution
  • Shape
  • Trailing Edges
  • Transonic Flow

Fields of Study

  • Physics

Readers

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