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Lee, Doo Ho; Kwak, Byung Man

Shape sensitivity and optimization for transient heat diffusion problems using the BEM. (English) Zbl 0834.73054

Int. J. Numer. Methods Heat Fluid Flow 5, No. 4, 313-326 (1995).
Summary: A shape design sensitivity analysis of two-dimensional transient heat diffusion problems is proposed based on the BIE formulation. The adjoint variable method is applied by using the Ionescu-Cazimir integral identity. The procedure is checked against the analytical solution in the case of a rod, and by numerical comparisons with the finite differencing for a rectangular block under thermal shock and a plunger model. An optimal design problem is then formulated for the plunger and solved to obtain a realistic shape.

MSC:

74P99 Optimization problems in solid mechanics
74S15 Boundary element methods applied to problems in solid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)

Keywords:

adjoint variable method; Ionescu-Cazimir integral identity; rod; finite differencing; rectangular block; thermal shock; plunger model
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References:

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