Transient Problems using Time-Dependent Fundamental Solutions

作者: R. Pasquetti , A. Caruso , L. C. Wrobel

DOI: 10.1007/978-94-011-2902-2_2

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摘要: The present chapter discusses a boundary element formulation for transient heat conduction using time-dependent fundamental solutions. This can be viewed as direct extension of potential theory since the proper solution diffusion equation is used to obtain an equivalent integral equation. Numerical techniques are then employed solve in discrete form through time-marching procedure.

参考文章(18)
W. F. Ames, Nonlinear Partial Differential Equations in Engineering Physics Today. ,vol. 20, pp. 131- 131 ,(1967) , 10.1063/1.3034120
P. Skerget, C. A. Brebbia, Time Dependent Non-Linear Potential Problems Springer Berlin Heidelberg. pp. 63- 86 ,(1985) , 10.1007/978-3-642-82398-5_3
K. Davey, S. Hinduja, An improved procedure for solving transient heat conduction problems using the boundary element method International Journal for Numerical Methods in Engineering. ,vol. 28, pp. 2293- 2306 ,(1989) , 10.1002/NME.1620281007
Y.P. Chang, C.S. Kang, David J. Chen, The use of fundamental green's functions for the solution of problems of heat conduction in anisotropic media☆ International Journal of Heat and Mass Transfer. ,vol. 16, pp. 1905- 1918 ,(1973) , 10.1016/0017-9310(73)90208-1
Horatio Scott Carslaw, John Conrad Jaeger, Conduction of Heat in Solids ,(1959)
L.C. Wrobel, C.A. Brebbia, A formulation of the boundary element method for axisymmetric transient heat conduction International Journal of Heat and Mass Transfer. ,vol. 24, pp. 843- 850 ,(1981) , 10.1016/S0017-9310(81)80007-5
L.C. Wrobel, C.A. Brebbia, The dual reciprocity boundary element formulation for diffusion problems Applied Mechanics and Engineering. ,vol. 65, pp. 147- 164 ,(1987) , 10.1016/0045-7825(87)90010-7
Vedat Demirel, Shen Wang, An efficient boundary element method for two-dimensional transient wave propagation problems Applied Mathematical Modelling. ,vol. 11, pp. 411- 416 ,(1987) , 10.1016/0307-904X(87)90165-X
J. P. S. Azevedo, L. C. Wrobel, Non-linear heat conduction in composite bodies: A boundary element formulation International Journal for Numerical Methods in Engineering. ,vol. 26, pp. 19- 38 ,(1988) , 10.1002/NME.1620260103