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首页> 外文期刊>Journal of Computational Physics >IDENTIFICATION OF THE THERMAL CONDUCTIVITY AND HEAT CAPACITY IN UNSTEADY NONLINEAR HEAT CONDUCTION PROBLEMS USING THE BOUNDARY ELEMENT METHOD
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IDENTIFICATION OF THE THERMAL CONDUCTIVITY AND HEAT CAPACITY IN UNSTEADY NONLINEAR HEAT CONDUCTION PROBLEMS USING THE BOUNDARY ELEMENT METHOD

机译：用边界元方法识别非定常非线性热传导问题中的热导率和热容量

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In this study the inverse problem of the identification of temperature dependent thermal properties of a heat conducting body is investigated. The solution of the corresponding direct problem is obtained using a time marching boundary element method (SEM), which allows, without any need of interpolation and solution domain discretisation, efficient and accurate evaluation of the temperature everywhere inside the space-time dependent domain. Since the inverse problem, which requires the determination of the thermal conductivity and heat capacity from a finite set of temperature measurements taken inside the body, possesses poor uniqueness features, additional information is achieved by assuming that the thermal properties belong to a set of polynomials. Thus the inverse problem reduces to a parameter system estimation problem which is solved using the nonlinear least-squares method. Convergent and stable numerical results are obtained for the finite set of parameters which characterise the thermal properties for various test examples. Once the thermal properties are accurately obtained then the BEM determines automatically the temperature inside the solution domain and the remaining unspecified boundary values and the numerically obtained results show good agreement with the corresponding analytical solutions. (C) 1996 Academic Press, Inc. [References: 32]
机译：在这项研究中，研究了识别导热体的与温度相关的热特性的反问题。相应的直接问题的解决方案是使用时间行进边界元方法（SEM）获得的，该方法无需进行插值和解域离散化，就可以有效且准确地评估时空相关域内部各处的温度。由于需要从体内有限的一组温度测量结果确定导热系数和热容量的反问题具有较差的唯一性特征，因此可以通过假设热性质属于多项式来获得更多信息。因此，反问题简化为使用非线性最小二乘法解决的参数系统估计问题。对于有限的一组参数获得了收敛且稳定的数值结果，这些参数表征了各种测试示例的热性能。一旦准确获得了热性质，BEM便会自动确定溶液域内的温度以及其余未指定的边界值，并且通过数字获得的结果表明与相应的分析溶液有很好的一致性。 （C）1996 Academic Press，Inc. [参考：32]

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