Name
Abstract | ||
|---|---|---|
A spectral Galerkin discretization for calculating the eigenvalues of the Orr-Sommerfeld equation is presented. The matrices
of the resulting generalized eigenvalue problem are sparse. A convergence analysis of the method is presented which indicates
that a) no spurious eigenvalues occur and b) reliable results can only be expected under the assumption of scale resolution, i.e., that Re/p
2 is small; here Re is the Reynolds number and p is the spectral order. Numerical experiments support that the assumption of scale resolution is necessary in order to obtain
reliable results. Exponential convergence of the method is shown theoretically and observed numerically. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1007/s006070070014 | Computing |
Keywords | DocType | Volume |
AMS Subject Classifications: 76E05,65N25,65N35.,Key Words: Orr-Sommerfeld equation,hydrodynamic stability,eigenvalue problem,spectral method. | Journal | 65 |
Issue | ISSN | Citations |
2 | 0010-485X | 1 |
PageRank | References | Authors |
0.43 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. M. Melenk | 1 | 74 | 6.52 |
| N. P. Kirchner | 2 | 1 | 0.77 |
| C. Schwab | 3 | 99 | 19.07 |