Numerical Study of Three Viscous/Inviscid Interaction Methods

Abstract

The study of flows with viscous/inviscid interaction has attracted many researchers over the last decade. These flows occur whenever the adverse gradient is large enough to cause flow separation. The current emphasis is to find efficient ways of solving these types of flows without solving the full Navier-Stokes equations. Three methods for solving the viscous/inviscid problem were studied. The first method uses finite difference equations to model both the viscous and inviscid regions. A coupling scheme is developed to match the two solutions. The second method solves the integral boundary layer equations in the viscous region and finite difference equations in the inviscid region. The third method solves the Hilbert integral to generate a correction to the inviscid velocity using the boundary layer equations as the viscous model. The model problem used in this work is Howarth flow over a flat plate. The three methods were evaluated in terms of solution accuracy, memory requirements, and computation times. Theses.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1988
Accession Number
ADA202575

Entities

People

  • Jeffrey C. Tromp

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • C4I
  • Cyber
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Engineering
  • Equations
  • Fluid Dynamics
  • Geometry
  • Inviscid Flow
  • Navier Stokes Equations
  • Pressure Gradients
  • Reynolds Number
  • Skin Friction
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Physics

Readers

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