基于有效导热系数法的交界面形状识别算法

Algorithm of identification of interfacial geometry based on method of effective thermal conductivity

  • 摘要: 基于表面测温的边界形状识别算法研究是红外无损检测技术从定性到定量发展的理论基础,同时也是传热反问题研究的一个重点也是难点问题。对于交界面形状的识别,常规的边界识别算法,由于交界面要在迭代过程中不断变化,所以计算相对复杂,不利于算法的实际应用。在原有边界形状识别研究工作的基础上,通过将交界面形状的识别问题转化为有效导热系数的分布问题,将计算温度和检测温度的吻合程度作为判别条件,利用改进的一维修正算法反演识别有效导热系数的分布,再转化为真实的交界面形状。数值实验表明该方法大大降低了交界面形状识别的复杂性,是解决交界面形状识别问题的行之有效的计算方法。

     

    Abstract: The boundary shape identification based on the surface temperature measurement is not only a key theoretical basis for quantitative development of thermographic nondestructive technique, but also an important and difficult issue in the research of inverse heat conduction problem. When identifying the boundary shape, for ordinary algorithms, the boundary shape continually changes during the iterative process, which increases the calculation complexity and restricts practical application of the algorithm. Based on previous algorithm researches, the identification problem of interfacial geometry has been transformed into that of the distribution of effective thermal conductivities. The distribution result obtained based on the modified one-dimensional correction method is then converted to the desired boundary shape. Numerical test cases have proved that the algorithm with the transform theory which greatly reduced the calculational complexity of the identification process, is an effective method in dealing with identification problem of interfacial geometry.

     

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