PARAMETRIC IDENTIFICATION OF THE INCIDENT HEAT FLOW AS A FUNCTION OF TIME AND COORDINATES BY ITERATIVE REGULARIZATION

Background. The method of restoring the incident heat flow as a function of time is considered on the example of a virtual model of a parallelepiped. The purpose of this method is to find the global minimum of the parametric value of the heat flow from the problem of minimizing the root-mean-square error between the theoretical and experimental temperature field in the places where temperature sensors are installed. Materials and methods. Tasks of this type are incorrect due to the noise or ambiguity of the input data, such as the thermophysical properties of materials, the adequacy of the chosen formulation of the "direct" heat transfer problem, etc. To do this, this paper uses the method of iterative regularization to overcome this incorrectness, where the iteration number acts as the regularized parameter. The very problem of finding a global extremum is solved by the conjugate directions method, as the most accurate method of the first order of convergence. Results and conclusions. An algorithm of parametric identification has been developed.

Abstract licence: CC BY

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