Accession Number:

ADA022345

Title:

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

Descriptive Note:

Final rept. Mar 74-Jun 75,

Corporate Author:

MICHIGAN UNIV ANN ARBOR

Personal Author(s):

Report Date:

1976-02-01

Pagination or Media Count:

49.0

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 Galerkins procedure, and the resulting initial value problem can be integrated numerically by a conventional method.

Subject Categories:

  • Numerical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE