Unified finite approach exponential-type scheme for convective-diffusive fluid transport equations

American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD

Volumn 339, Issue , 1997, Pages 55-64

  Figueiredo, José Ricardo ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0344235042     PISSN: 02725673     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

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2. ALLEN, D. N. de G. (1962) "A Suggested Approach to Finite-Difference Representation of Differential Equations, with an Application to Determine Temperature Distributions Near a Sliding Contact"; Quart. J. Mech. and Applied Math., v.15, pp. 11-33
3. FIGUEIREDO, J.R. (1990) "On the angular concept of numerical diffusion", AIAA/ASME Thermophysics and Heat Transfer Conference, Seattle, Washington, pp. 19-26
4. KARKI, K. C.; PATANKAR, S. V. & MONGIA, M. C. (1989) "Solution of Three-Dimensional Flow Problem Using a Flux-Spline Method", AIAA-89-0687.
5. NIECKELE, A. O (1985) "Development and Evaluation of Numerical Schemes for the Solution of Convection-Diffusive Problems", Ph.D. Thesis, University of Minnesota, Minneapolis.
6. PRAKASH, C. (1984) "Application of the Locally Analytic Differencing Scheme to Some Test Problems for the Convection-Diffusion Equation", Numer. Heat Transfer, v.7, pp. 165-182.
7. RAITHBY, G.D. and TORRANCE, K. E. (1974) "Upstream-Weighted Differencing Scheme and Their Application to Elliptic Problems Involving Fluid Flow", Computers and Fluids, v.2, pp. 191-206.
8. ROSCOE, D.F. (1975) "New Methods for the Derivation of Stable Difference Representations for Differential Equations", J. Inst Maths. Applics.,v.16, pp.291-301.
9. SPALDING, D.B. (1972) "A Novel Finite Difference Formulation for Differential Expressions Involving Both First and Second Derivatives", Int. J. Numer. Meth. Eng., v.4, pp.551-559.
10. VAREJÃO, L.M.C. (1979) "Flux-Spline Method for Heat and Momentum Transfer", Ph.D. Thesis, University of Minnesota, Minneapolis.
11. WONG, H.H. & RAITHBY, G.D. (1979) "Improved Finite-Difference Methods Based on a Critical Evaluation of the Approximation Errors", Numer. Heat Transfer, v.2, pp.139-163.