Numerical modeling in Chebyshev collocation methods applied to stability analysis of convection problems

Applied Numerical Mathematics

Volumn 33, Issue 1, 2000, Pages 161-166

  Herrero, H ^a   Mancho, A M ^b  

^a UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

^b UNIVERSITY OF NAVARRA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; FINITE DIFFERENCE METHOD; HEAT CONVECTION; HEATING; ITERATIVE METHODS; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; POLYNOMIALS; PROBLEM SOLVING;

BERNARD-MARANGONI CONVECTIONS; CHEBYSHEV COLLOCATION METHODS; CONVECTION PROBLEMS; DIFFERENTIATION OPERATORS; LATERAL HEATING; LOW ORDER FINITE DIFFERENCE SCHEME;

COMPUTER SIMULATION;

EID: 0034190317     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00079-3     Document Type: Article

References (7)

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2. B. Fornberg, A Practical Guide to Pseudospectral Methods, Cambridge University Press, Cambridge, 1996.
3. D. Gottlieb, S.A. Orszag, Numerical Analysis of Spectral Methods: Theory and Applications, SIAM-CBMS, Philadelphia, 1977.
4. P. Le Quéré, An improved Chebyshev collocation algorithm for direct simulation of 2D turbulent convection in differentially heated cavities, Finite Elements in Analysis and Design 16 (1994) 271-283.
5. A.M. Mancho, H. Herrero, Instabilities in a laterally heated liquid layer, Phys. Fluids, to appear.
6. J.M. Sanz-Serna, Fourier techniques in numerical methods for evolutionary problems, in: P.L. Garrido, J. Marro (Eds.), Third Granada Lectures in Computational Physics, Springer, 1994.
7. S. Xin, P. Le Quéré, O. Daube, Natural convection in a differentially heated horizontal cylinder: Effects of Prandt1 number on flow structure and instability, Phys. Fluids 9 (4) (1996) 1014-1033.