A Unified Direct-Inverse Procedure for Two-Dimensional Boundary Layers Using Spline/Finite Difference Discretization.

Abstract

A unified approach is presented for solving the two dimensional incompressible boundary layer equations. Solutions are obtained for direct and inverse options using the same equation formulation by a simple interchange of boundary conditions. A modified form of the mechul function scheme obtains inverse solutions with specification of transformed wall shear, skin friction coefficient, or displacement thickness distributions. Turbulent flow is treated using a two piece algebraic eddy viscosity model, with the modified Levy Lees transformation applied to capture the growth of laminar and turbulent layers. Fourth order spline discretization approximates normal derivatives with three and two point backward differences approximating streamwise derivatives, yielding a fully implicit solution method. The resulting spline/finite difference equations are solved by Newton Raphson iteration together with partial pivoting. Numerical solutions are presented for several nonsimilar flows and compared with published results. (Theses)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1987
Accession Number
ADA178223

Entities

People

  • G. H. Hoffman
  • K. C. Kaufman

Organizations

  • Pennsylvania State University

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundary Layer
  • Boundary Layer Flow
  • Coefficients
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Mechanical Properties
  • Pressure Distribution
  • Skin Friction
  • Turbulent Flow
  • Turbulent Mixing
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Mathematics
  • Physics

Readers

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