Numerical solution of the 3-D buoyancy driven cavity problem by a pseudospectral method

Applied Mathematics and Computation

Volumn 75, Issue 1, 1996, Pages 43-58

  Sivaloganathan, S ^a   Karageorghis, A ^b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b UNIVERSITY OF CYPRUS   (Cyprus)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 16344391468     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/0096-3003(95)00102-6     Document Type: Article

References (9)

1. A. Karageorghis and S. Sivaloganathan, A Chebyshev spectral collocation method for the computation of buoyancy-induced flows, Appl. Math. Comput., 55:297-308 (1993).
2. I. P. Jones, A comparison problem for numerical methods in fluid dynamics: The double-glazing problem, in Numerical Methods in Thermal Problems (R. W. Lewis and K. Morgan, Eds.), Pineridge Press, Swansea, 1979.
3. K. Aziz and J. D. Hellums, Numerical solution of the 3-D equations of motion for laminar natural convection, Phys. Fluids 10:314-324 (1967).
4. P. H. Holst and K. Aziz, Transient 3-D natural convection in confined porous media, Int. J. Heat Mass Transfer 15:73-90 (1972).
5. G. J. Hirasaki and J. D. Hellums, A general formulation of the boundary conditions on the vector potential in 3-D hydrodynamics, Q. Appl. Math. 16:331-342 (1968).
6. A. Karageorghis, Satisfaction of boundary conditions for Chebyshev collocation methods in cuboidal domains, Comput. Math. Applic. 27:85-90 (1994).
7. C. Lanczos, Applied Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1964.
8. J. P. Boyd, Chebyshev and Fourier Spectral Methods, Springer-Verlag, New York, 1989.
9. Numerical Algorithm Group Library Mark 15, NAG (UK) Ltd., Wilkinson House, Jordan Hill Road, Oxford, U.K.