EFFICIENT SEQUENTIAL SOLUTION OF THE NONLINEAR INVERSE HEAT CONDUCTION PROBLEM
EFFICIENT SEQUENTIAL SOLUTION OF THE NONLINEAR INVERSE HEAT CONDUCTION PROBLEM
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DOI：
10.1080/10407788208913448
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发表时间：
1982-07
影响因子：
2
通讯作者：
J. Beck;B. Litkouhi;C. R. S. Clair
中科院分区：
文献类型：
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作者：
J. Beck;B. Litkouhi;C. R. S. Clair
非线性热传导反问题是利用测量的具有变温热性质的不透明固体的内部温度来计算表面热流和温度。最广泛使用的数值方法为这个问题是由贝克。这里提出的新的顺序程序减少了3或4倍的计算机计算的数量。所使用的一般热传导模型允许处理各种一维几何形状（板、圆柱体和球体）、能源和翅片效应。数值计算过程中示出有限差分，但基本概念也适用于有限元法。给出了计算算法的详细描述，并给出了一个非线性算例。
The nonlinear inverse heat conduction problem is the calculation of surface heat fluxes and temperatures by utilizing measured interior temperatures in opaque solids possessing temperature-variable thermal properties. The most widely used numerical method for this problem was developed by Beck. The new sequential procedure presented here reduces the number of computer calculations by a factor of 3 or 4. The general heat conduction model used permits treatment of various one-dimensional geometries (plates, cylinders, and spheres), energy sources, and fin effects. The numerical procedure is illustrated for finite differences, but the basic concepts are also applicable to the finite-element method. Detailed descriptions of the computational algorithms are given and a nonlinear example is provided.