A dual reciprocity boundary element approach to three-dimensional transient heat conduction as applied to materials processing

Numerical Heat Transfer; Part A: Applications

Volumn 29, Issue 3, 1996, Pages 243-264

  Frayce, D ^a   Khayat, R E ^a   Derdouri, A ^a  

^a NATIONAL RESEARCH COUNCIL CANADA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; INTEGRAL EQUATIONS; PROBLEM SOLVING;

DUAL RECIPROCITY BOUNDARY ELEMENT METHOD (DRBEM);

HEAT CONDUCTION;

EID: 0030085615     PISSN: 10407782     EISSN: 15210634     Source Type: Journal    
DOI: 10.1080/10407789608913791     Document Type: Article

References (31)

1. C. A. Brebbia, J. C. F. Telles, and L. C. -Wrobel, Boundary Element Techniques: Theory and Applications in Engineering, Springer-Verlag, New York, 1984.
2. H. L. G. Pina and J. L. M. Fernandez (eds.), Three-Dimensional Transient Conduction by the Boundary Element Method: Boundary Element V, Springer-Verlag, Berlin, 1983.
3. L. C. Wrobel, The Dual Reciprocity Boundary Element Formulation for Transient Heat Conduction, paper presented at the VI International Conference on Finite Elements in Water Resources, June 1986.
4. L. C. Wrobel, The Dual Reciprocity Boundary Element Formulation for Nonlinear Problems, Comput. Methods Appl. Mech. Eng., vol. 65, p. 147, 1987.
5. P. W. Partridge and C. A. Brebbia, Computer Implementation of the BEM Dual Reciprocity Method for the Solution of Poisson Type Equations, Software Eng. Workstation, vol. 5, 1989.
6. P. W. Partridge and L. C. Wrobel, The Dual Reciprocity Boundary Element Method for Spontaneous Ignition, Int. J. Numer. Methods Eng., vol. 30, p. 953, 1990.
7. P. W. Partridge and C. A. Brebbia, Computer Implementation of the BEM Dual Reciprocity Method for the Solution of General Field Equations, Commun. AppL Numer. Methods, vol. 6, p. 83, 1990.
8. L. C. Wrobel, A Boundary Element Solution to Stefan’s Problem, in Three-Dimensional Transient Conduction by the Boundary Element Method: Boundary Element V, Springer-Verlag, Berlin, 1983.
9. S. Das and A. J. Paul, Determination of Interfacial Heat Transfer Coefficients in Casting and Quenching Using a Solution Technique for Inverse Problems Based on the Boundary Element Method, MetalL Trans. B, vol. 24B, p. 1077, 1993.
10. N. Zabaras and S. Mukherjee, Solidification Problems by the Boundary Element Method, Int. J. Solids Struct., vol. 31, no. 12, p. 1829, 1994.
11. C. P. Hong, T. Umeda, and Y. Kimura, Numerical Models for Casting Solidification: Part I, The Coupling of the Boundary Element and Finite Difference Methods for Solidification Problems; Part II, Application of the Boundary Element Method to Solidification Problems, Metall. Trans. B, vol. 15B, 1994.
12. G. F. Dargush and P. K. Baneijee, Advanced Development of the Boundary Element Method for Steady State Heat Conduction, Int. J. Numer. Methods Eng., vol. 28, p. 2133, 1989.
13. G. F. Dargush and P. K. Baneijee, Application of the Boundary Element Method to Transient Heat Conduction, Int. J. Numer. Methods Eng., vol. 31, p. 1231, 1991.
14. J. P. S. Azevedo and L. C. Wrobel, Nonlinear Heat Conduction in Composite Bodies: A Boundary Element Formulation, Int. Numer. Methods Eng., vol. 26, p. 19, 1988.
15. Y. Shi and P. K. Banerjee, Boundary Element Methods for Convective Heat Transfer, Comput. Methods AppL Meek. Eng., vol. 105, p. 261, 1993.
16. S. Zhu and Y. Zhang, Improvement on Dual Reciprocity Boundary Element Method for Equations with Convective Terms, Commun. Numer. Methods Eng., vol. 10, p. 361, 1994.
17. S. Zhu and Y. Zhang, Solving General Field Equations in Infinite Domains with Dual Reciprocity Boundary Element Method, Eng. AnaL Boundary Elements, vol. 12, p. 241, 1993.
18. B. Davis, P. Gramann, J. C. Matzig, and T. A. Oswald, The Dual Reciprocity Method for Heat Transfer in Polymer Processing, Eng. Anal. Boundary Elements, vol. 13, p. 249, 1994.
19. P. J. Gramann, L. Stradins, and T. A. Oswald, Flow and Heat Transfer Simulation of the Mixing of Polymer Blends Using the Boundary Element Method, Int. Polymer Processes, vol. 8, no. 4, p. 287, 1993.
20. A. J. Kassab and R. S. Nordlund, Efficient Implementation of the Fourier Dual Reciprocity Boundary Element Method Using Two-Dimensional Fast Fourier Transforms, Eng. Anal. Boundary Elements, vol. 12, p. 93, 1993.
21. T. Yamada, L. C. Wrobel, and H. Power, On the Convergence of the Dual Reciprocity Boundary Element Method, Eng. Anal. Boundary Elements, vol. 13, p. 291, 1994.
22. K. Davey and I. Rosindale, An Iterative Solution Scheme for Systems of Boundary Element Equations, Int. J. Numer. Methods Eng., vol. 37, p. 1399, 1994.
23. M. Hribersek, P. Skerget, and H. Mang, Preconditioned Conjugate Gradient Methods for Boundary-Domain Integral Method, Eng. Anal. Boundary Elements, 1994.
24. P. W. Partridge, C. A. Brebbia, and L. C. Wrobel, The Dual Reciprocity Boundary Element Method, Elsevier Applied Science, New York, 1992.
25. J. P. S. Azevedo and C. A. Brebbia, An Efficient Technique for Reducing Domain Integrals to the Boundary, in Boundary Elements X, vol. 1, Springer-Verlag, New York, 1988.
26. T. A. Cruise, Numerical Solutions in Three-Dimensional Elastostatics, Int. J. Solids Struct., vol. 5, p. 1259, 1969.
27. J. C. Telles, A Self-Adaptive Coordinate Transformation for Efficient Numerical Evaluation of General Boundary Element Integrals, Int. J. Numer. Methods Eng., vol. 24, p. 959, 1989.
28. D. Nardini and C. A. Brebbia, Boundary Integral Formulation for Mass Matrices for Dynamic Analysis, in Topics in Boundary Element Research, vol. 2, Springer-Verlag, New York, 1985.
29. S. R. Karur and P. A. Ramachandran, Radial Basis Function Approximation in the Dual Reciprocity Method, Math. Comput. Modell., vol. 20, no. 7, p. 59, 1994.
30. H. S. Carslaw and J. C. Jaeger, Conduction in Solids, Oxford University Press, Oxford, 1959.
31. M. Tanaka, T. Matsumoto, and Q. F. Yang, A Time-Stepping Boundary Element Method for Transient Heat Conduction in Orthotropic Bodies, Eng. Anal, Boundary Elements, vol. 12, p. 85, 1993.