Hybrid Methods and Symbolic Computations

Handbook of Numerical Heat Transfer: Second Edition

Volumn , Issue , 2009, Pages 493-522

  Cotta, Renato M ^a   Mikhailov, Mikhail D ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Hardware enhancement and numerical methods; Integral transform method; Lumped differential formulations; Numerical analytical solutions; Symbolic numerical algorithms

Indexed keywords

EID: 84889624638     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9780470172599.ch16     Document Type: Chapter

References (63)

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30. L.S.B. Alves, H. Luz Neto, and R. M. Cotta, Parametric Analysis of the Streamfunction Time Derivative in the Darcy-flow Model for Transient Natural Convection, Proc. 2nd International Conference on Computational Heat and Mass Transfer, CHMT-2001, Rio de Janeiro, Brazil, October 2001.
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37. M. D. Mikhailov and R. M. Cotta, Ordering Rules for Double and Triple Eigenseries in the Solution of Multidimensional Heat and Fluid Flow Problems, Int. Commun. Heat Mass Transfer, 23, 299-303 (1996).
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47. R. M. Cotta and R. Ramos, Integral Transforms in the Two-dimensional Nonlinear Formulation of Longitudinal Fins with Variable Profile, Int. J. Numer. Methods Heat Fluid Flow, 8, 27-42 (1998).
48. J. S. Perez Guerrero, J.N.N. Quaresma, and R. M. Cotta, Simulation of Laminar Flow Inside Ducts of Irregular Geometry Using Integral Transforms, Comput. Meek, 25, 413-420 (2000).
49. L. A. Sphaier, Integral Transformation of Diffusion Problems in Irregular Domains: Mixed Symbolic-Numerical Computation, Thesis, PEM/COPPE, Universidade Federal do Rio de Janeiro, Brazil, June 2000. (In Portuguese)
50. C. Baohua and R. M. Cotta, Integral Transform Analysis of Natural Convection in Porous Enclosures, Int. J. Numer. Methods Fluids, 17, 787-801 (1993).
51. M. A. Leal, J. S. Perez Guerrero, and R. M. Cotta, Natural Convection Inside Two-dimensional Cavities: The Integral Transform Method, Commun. Numer. Methods Eng. 15, 113-125 (1999).
52. M. A. Leal and R. M. Cotta, Steady and Transient Integral Transform Solutions of Natural Convection in Enclosures, Proc. ICHMTInt. Symp. on Computational Heat Transfer, pp.418-432, Begell House, Turkey, May 1997.
53. H. A. Machado, M. A. Leal, and R. M. Cotta, A Flexible Algorithm for Transient Themal Convection Problems Via Integral Transforms, Proc. Int. Symp. on Computational Heat and Mass Transfer, Keynote Lecture, pp.13-31, North Cyprus, Turkey, April 1999.
54. L. M. Pereira, J. S. Perez Guerrero, and R. M. Cotta, Study of Buoyancy Effects Inside Vertical Concentric Annular Cavities by Integral Transforms, Proc. 16th Brazilian Congress of Mechanical Engineering, COBEM 2001, Uberlandia, MG, Brazil, November 2001.
55. J. S. Perez Guerrero and R. M. Cotta, Integral Transform Method for Navier-Stokes Equations in Stream Function-Only Formulation, Int. J. Numer. Methods Fluids, 15, 399-409 (1992).
56. J. S. Perez Guerrero and R. M. Cotta, Benchmark Integral Transform Results for Flow Over a Backward-Facing Step, Comput. Fluids, 25, 527-540 (1996).
57. R. Ramos, J. S. Perez Guerrero, and R. M. Cotta, Stratified Flow over a Backward Facing Step: Hybrid Solution by Integral Transforms, Int. J. Numer. Methods Fluids, 35, 173-197 (2001).
58. J.N.N. Quaresma and R. M. Cotta, Integral Transform Method for the Navier-Stokes Equations in Steady Three-dimensional Flow, Proc. 10th ISTP-Int. Symp. on Transport Phenomena, pp.281-287, Kyoto, Japan, November 1997.
59. L.S.B. Alves, Stability Analysis of Transient Natural Convection in Porous Cavities: Hybrid Numerical-Analytical Solution and Mixed Symbolic-Numerical Computation, Thesis, PEM/COPPE, Universidade Federal do Rio de Janeiro, Brazil, June 2000. (In Portuguese)
60. H. Luz Neto, Transient Three-dimensional Natural Convection in Porous Media: Hybrid Solutions via Integral Transforms, Thesis, PEM/COPPE, Universidade Federal do Rio de Janeiro, Brazil, December 2000. (In Portuguese)
61. R. M. Cotta and H.R.B. Orlande, Hybrid Approaches in Heat and Mass Transfer: A Brazilian Experience with Applications in National Strategic Projects, Heat Transfer Eng., invited editorial 24, 1-5 (2003).
62. R. M. Cotta, M. J. Ungs, M. D. Mikhailov, H.R.B. Orlande, and P.F.L. Heilbron, Hybrid Methods and Mixed Computations for Contaminant Transport in Environmental Modeling, Proc. 3rd International Conference on Computational Heat and Mass Transfer, CHMT-2003, Invited Keynote Lecture, Banff, Canada, May 2003.
63. R. M. Cotta, H.R.B. Orlande, M. D. Mikhailov, and S. Kakac, Experimental and Theoretical Analysis of Transient Convective Heat and Mass Transfer: Hybrid Approaches, Invited Keynote Lecture, Proc. ICHMT International Symposium on Transient Convective Heat And Mass Transfer in Single and Two-phase Flows, Cesme, Turkey, August 2003.