Method of removing the domain to identify the position of the heat source by the inverse method: طريقة إزالة المجال لتحديد موضع مصدر الحرارة بالطريقة العكسية

Abdelkarim Maamar Abdelkader, Bounegta Bachir Mohammed Abdelkarim Maamar Abdelkader, Bounegta Bachir Moha
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Abstract

This research work is a numerical study which conducted a spatiotemporal identification of a thermal source inside a domain using inverse method. Temperatures are simulated by means of resolving direct problem with finite differences method. The authors suggested heat source identification in diffusive medium. The studied problem has two distinctive aspects: (1) source location research; (2) identifying source amplitude in terms of time. Direct simulation: The authors achieved a leveled scale on the studied source over the total duration of the study time interval. Step responses, at measuring points, are saved (for matrix building). After that, the authors computed source value at every step time. In order to characterize inverse quality, the authors have introduced mean square deviations corresponding to inverse process, we notice that we have a good result for the location, whilst the intensity of the source volume we have a worse outcome, because we identified a point source is equivalent to an approximate solution.
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本研究是利用逆方法对区域内热源进行时空识别的数值研究。温度模拟采用有限差分法求解直接问题。提出了在扩散介质中进行热源识别的方法。研究的问题有两个独特的方面:(1)源定位研究;(2)根据时间识别源振幅。直接模拟:作者在研究时间间隔的总持续时间内对研究来源进行了分级。在测量点处的阶跃响应被保存(用于构建矩阵)。在此之后,作者计算了每一步的源值。为了表征逆质量,作者引入了对应于逆过程的均方偏差,我们注意到我们对位置有很好的结果,而源体积的强度我们有一个更差的结果,因为我们确定了一个点源相当于一个近似解。
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