Numerical Solution of a Generalized Elliptic Partial Differential Eigenvalue Problem

Journal of Computational Physics

Volumn 156, Issue 2, 1999, Pages 352-359

  Otto, S R ^a   Denier, James P ^b  

^a UNIVERSITY OF BIRMINGHAM   (United Kingdom)

^b UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

Eigenvalues; Elliptic

Indexed keywords

EIGEN-VALUE; EIGENVALUE PROBLEM; EIGENVALUE SOLVERS; ELLIPTIC; ELLIPTIC PARTIAL DIFFERENTIAL; NUMERICAL SOLUTION; SINGLE POINT;

EID: 0001402098     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1999.6364     Document Type: Article

References (8)

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2. P. Hall and N. J. Horseman, The linear inviscid secondary instability of longitudinal vortex structures in boundary layers, J. Fluid Mech. 232, 357 (1991).
3. M. E. McIntyre, On the non-separable baroclinic parallel flow instability problem, J. Fluid Mech. 40, 273 (1970).
4. K. H. Moffatt, Magnetic Field Generation in Electrically Conducting Fluids (Cambridge Univ. Press, Cambridge, UK, 1978).
5. S. R. Otto, On the secondary instability of Görtler vortices in three-dimensional boundary layers, in Proceedings of the IUTAM Symposium on Nonlinear Instability and Transition in Three-Dimensional Boundary Layers, edited by P. W. Duck and P. Hall (Kluwer Academic, Dordrecht, 1995), p. 85.
6. S. R. Otto and J. R Denier, On the secondary instability of the most dangerous Görtier vortex, in IUTAM Symposium on Nonlinear Instability of Nonparallel Flows, edited by S. P. Lin, W. R. C. Phillips, and D. T. Valentine (Springer-Verlag, New York/Berlin, 1993), p. 290.
7. S. R. Otto and C. L. Streett, On the secondary instability of swept wing flows, in Proceedings of the ICASE Workshop on Transition, Turbulence and Combustion, edited by M. Y. Hussaini, T. B. Gatski, and T. L. Jackson (Kluwer Academic, Dordrecht, 1994), p. 329.
8. S. R. Otto, J. M. Sarkies, and J. P. Denier, On the effect of Görtier vortices on Kelvin-Helmholtz modes, in preparation.