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| Adjoint method of heat conduction sensitivity analysis |
| Revised:May 09, 2002 |
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| DOI：10.7511/jslx20034074 |
| KeyWord:heat transfer,finite element,sensitivity,adjoint method,precise time integration |
| Chen Biaosong Lin Wei Gu Yuanxian * |
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| Abstract: |
| Based on research of the direct method for sensitivit y analysi s of heat conduction, an adjoint method is further investigated in the paper. B oth the steady state problem and the transient problem are taken into account. A fter a brief introduction of the finite element method for heat conduction, the sens itivity equations of heat conduction are deduced by the adjoint method. The deta il formulations are presented. As for a transient problem, the algorithm of cr itical time constraint is discussed. And then a new method, the precise time int egration (PTI) method, is proposed to solve the equations of the adjoint method. The PTI method guarantees the numerical stability and precision in the results. The numerical examples show that the direct method and the adjoint method can a chieve the same precision in the results. However as for the transient problem, the adjoint method is easy to implement. |
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