On finite-difference solutions of the heat equation in spherical coordinates

Numerical Heat Transfer

Volumn 12, Issue 4, 1987, Pages 457-474

  Thibault, Jules ^a   Bergeron, Simon ^a   Bonin, Hugues W ^b  

^a UNIVERSITÉ LAVAL   (Canada)

^b ROYAL MILITARY COLLEGE OF CANADA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - FINITE ELEMENT METHOD; NUCLEAR REACTORS, FUSION - CALCULATIONS;

ALTERNATING-DIRECTION IMPLICIT (ADI) METHOD; HEAT EQUATION; HEAT FLUX; SPHERICAL COORDINATES; SUPERPOSITION PRINCIPLE;

HEAT TRANSFER;

EID: 0023560345     PISSN: 01495720     EISSN: None     Source Type: Journal    
DOI: 10.1080/10407788708913597     Document Type: Article

References (8)

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2. K. A. Werley, J. G. Gilligan, and G. H. Miley, A High Flux Energy and Particle Collection Scheme for Divertors, 11th Symp. Fusion Technology, Oxford, England, Sept. 15-19, 1980.
3. M. I. Lipov and E. V. Murav’ev, The Development of Highly Efficient Divertor Systems for Tokamak Energy Reactor," Rep. OLS-79-442, I. B. Kurchatov Order of Lenin Institute of Atomic Energy, 1979.
4. D. Duffy. The Temperature Distribution Within a Sphere Placed in a Directed Uniform Heat Flux and Allowed to Radiatively Cool, ASME J. Heat Transfer, vol. 107, p. 28, 1985.
5. J. Thibault, A Three-Dimensioinal Numerical Method Based on the Superposition Principle, Numer. Hear Transfer, vol. 7, p. 127, 1984.
6. P. L. T. Brian, A Finite-Difference Method of Higher-Order Accuracy for the Solution of the Three-Dimensional Transient Heat Conduction Problems, AIChE J., vol. 7, p. 41, 1961.
7. B. Carnahan, H. A. Luther. and J. O. Wilkes, Applied Numerical Methods, Wiley, New York, 1969.
8. J. Thibault, Comparison of Nine Three-Dimensional Numerical Methods for the Solution of the Heat Diffusion Equation, Numer. Heat Transfer, vol. 8, p. 281, 1985.