Abstract
A numerical model of nonlinear two-dimensional steady inverse heat conduction problem was established considering the thermal conductivity changing with temperature. Combining the chaos optimization algorithm with the gradient regularization method, a chaos-regularization hybrid algorithm was proposed to solve the established numerical model. The hybrid algorithm can give attention to both the advantages of chaotic optimization algorithm and those of gradient regularization method. The chaos optimization algorithm was used to help the gradient regularization method to escape from local optima in the hybrid algorithm. Under the assumption of temperature-dependent thermal conductivity changing with temperature in linear rule, the thermal conductivity and the linear rule were estimated by using the present method with the aid of boundary temperature measurements. Numerical simulation results show that good estimation on the thermal conductivity and the linear function can be obtained with arbitrary initial guess values, and that the present hybrid algorithm is much more efficient than conventional genetic algorithm and chaos optimization algorithm.
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Communicated by TANG Li-min
Foundation item: the National Natural Science Foundation of China (10072014)
Biography: WANG Deng-gang (1970−)
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Deng-gang, W., Ying-xi, L. & Shou-ju, L. Chaos-regularization hybrid algorithm for nonlinear two-dimensional inverse heat conduction problem. Appl Math Mech 23, 973–980 (2002). https://doi.org/10.1007/BF02437803
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DOI: https://doi.org/10.1007/BF02437803
Key words
- inverse problem
- inverse heat conduction problem
- thermal conductivity
- global optimum
- hybrid algorithm
- chaos optimization algorithm
- gradient regularization method