The Use of Splines for the Solution of the Boundary-Layer Equations.

Abstract

A Galerkin method for the solution of steady two-dimensional incompressible laminar thermal boundary layer flow problem has been developed and tested. In this method the properly transformed boundary layer region is first divided into a very limited number of strips parallel to the boundary. Then, at a given streamwise station, classical cubic splines are employed to approximate the solution functions in each strip. The governing partial differential equations are finally reduced to a system of first order nonlinear ordinary differential equations by a Galerkin's procedure, and the resulting initial value problem can be integrated numerically by a conventional method.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1976
Accession Number
ADA022345

Entities

People

  • Chen-chi Hsu

Organizations

  • University of Michigan

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Boundary Layer Flow
  • Differential Equations
  • Equations
  • Galerkin Method
  • Layers
  • Partial Differential Equations
  • Thermal Boundary Layer
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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