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An algorithmic approach to the linear stability of the Ekman layer

Published online by Cambridge University Press:  20 April 2006

Mogens V. Melander
Mogens V. Melander
Affiliation:
Laboratory of Applied Mathematical Physics and Institute for Numerical Analysis. Technical University of Denmark
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Abstract

The linear stability of the stationary Ekman-layer flow near a plane boundary is considered. Analytical formulas for the eigenfunctions are derived by a spectral analysis. Standard optimization algorithms are used to calculate critical points, maximum growth rates and neutral-stability curves. The near approach provides a better basis for both a linear and a nonlinear stability analysis than the well-known methods have done. The method may also be applied to other boundary-layer problems.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 132 , July 1983 , pp. 283 - 293
Copyright
© 1983 Cambridge University Press

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References

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