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An accurate method for solving the Orr-Sommerfeld equation

✍ Scribed by Th. L. Stijn; A. I. Vooren

Publisher
Springer
Year
1980
Tongue
English
Weight
435 KB
Volume
14
Category
Article
ISSN
0022-0833

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✦ Synopsis

The method consists in integrating the Orr-Sommerfeld equation in the direction from the free stream toward the wall. In order to satisfy the boundary conditions at the wall, two linearly independent solutions have to be found. To prevent numerical solutions from becoming linearly dependent, the method of order reduction instead of repeated orthogonalization has been used. The method has been applied to calculate the neutral curve for the Blasius profile.

πŸ“œ SIMILAR VOLUMES

Numerical methods for eigensystems: the
Numerical methods for eigensystems: the Orr–Sommerfeld problem
✍ John M. Gerstring Jr. πŸ“‚ Article πŸ“… 1977 πŸ› Elsevier Science 🌐 English βš– 484 KB

A test problem which may be set up as an initial value, boundary value or eigenvalue problem with adjustable stiffness is presented. It is used to compare five methods (RKI, ORTNRM, SUPORT, GEAR and finite difference) of analysing stiff eigensystems in order to select methods powerful enough to be u