利用边界测点求解二维稳态导热逆问题

针对导热逆问题求解中的测点的选择提出了不同的方式,即采用边界测点取代内部测点进行导热逆问题的求解.通过数值计算揭示了测点选择不当将导致逆问题计算的失败及原因,验证了采用边界测点求解二维稳态导热逆问题的可行性.采用本文提出的方式将使逆问题的应用更为实际、合理.

2-D steady inverse heat conduction problems via boundary measurement temperatures

A different treatment using boundary measurement temperatures to solve inverse heat conduction problem is presented in this paper. By adding measured temperatures on the boundary surfaces on which boundary conditions are known, for examples, with the known heat flux on the boundary or the known heat transfer coefficient, the thermal parameters on other boundaries can be determined. In such a way, the inverse problems will become more practical and applicable in engineering fields than presented in the previous papers. By Direct Sensitivity Coefficient method, numerical simulations using boundary measurement nodes and interior ones are demonstrated and discussed in the paper, and results show that the selection of measurement nodes is important or else it may lead to the failure in inverse calculation.