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Inverse natural convection problem of simultaneous estimation of two boundary heat fluxes in irregular cavities

机译:同时估计不规则腔中两个边界热通量的逆自然对流问题

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This paper deals with the use of the Conjugate Gradient Method of function estimation with Adjoint Problem for the simultaneous identification of two boundary conditions in natural convection inverse problems in two-dimensional irregular cavities. The unknown boundary conditions are estimated with no a priori information about their functional forms. Irregular geometries in the physical domain are transformed into regular geometries in the computational domain by using an elliptic scheme of numerical grid generation. Therefore, the proposed formulation can be applied to the solution of inverse problems in different geometries. The methodology is applied to cases involving an annular cavity, where the position- and time-dependent heat fluxes are unknown at the inner and outer surfaces. The effects of the number and position of temperature sensors on the inverse problem solution are also addressed in the paper.
机译:本文将结合函数问题的共轭梯度方法与伴随问题一起用于二维不规则空腔中自然对流反问题中两个边界条件的同时识别。未知边界条件的估计没有关于其功能形式的先验信息。通过使用数字网格生成的椭圆方案,可以将物理域中的不规则几何转换为计算域中的规则几何。因此,所提出的公式可用于解决不同几何形状中的反问题。该方法适用于涉及环形腔的情况,其中内外表面的位置和时间相关的热通量未知。本文还讨论了温度传感器的数量和位置对反问题解决方案的影响。

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