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.
Descriptors:
Subject Categories:
- Numerical Mathematics
- Fluid Mechanics