THE NUMERICAL SOLUTION OF BOUNDARY LAYER PROBLEMS.
Abstract
A new approach to the numerical solution of the steady boundary layer equations is presented. The technique is developed in detail here for incompressible, laminar problems; the extension to compressible and/or turbulent flow is straightforward. Normal derivatives are approximated by finite differences yielding a nonlinear system of ordinary differential equations which is integrated in the streamwise direction starting from an initial velocity profile. The method is applicable to arbitrary choices of the initial profile, the pressure gradient and/or the injection or suction distribution. The classical Howarth Problem and the boundary layer on a circular cylinder are solved as test cases; velocity profiles, skin friction and the separation point are all predicted accurately. The solution for a flat plate with constant injection is then presented and compared with previous approximate results. As a final example, flow around a porous circular cylinder with various rates of injection is treated. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1967
- Accession Number
- AD0824107
Entities
People
- Joseph A. Schetz
- Stephen C. Lubard
Organizations
- University of Maryland