✦ LIBER ✦
Compound matrix method for eigenvalue problems in multiple connected domains
✍ Scribed by Anturkar, N. R. ;Papanastasiou, T. C. ;Wilkes, J. O.
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1992
- Tongue
- English
- Weight
- 490 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0748-8025
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✦ Synopsis
An algorithm based on a compound matrix method is presented for solving difficult eigenvalue problems of n equation sets in connected domains that are coupled through (n -1) sets of interfacial boundary conditions, when n is an arbitrary number. As an example, a linear stability problem of n-layer plane Poiseuille flow is formulated. The resulting Orr-Sommerfeld equations form a set of stiff differential equations at high wavenumbers, which are solved accurately for various combinations of parameters.