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

Nikita O. Borshchev, Candidate of technical sciences, leading engineer, Astro Space Center Institutions of the Russian Academy of Sciences P.N. Lebedev Institute of Physics (53 Leninsky avenue, Moscow, Russia), E-mail: moriarty93@mail.ru 

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. 

boundary inverse heat conduction problem, iterative regularization, conjugate directions method, basis function 

Borshchev N.O. Parametric identification of the incident heat flow as a function of time and coordinates by iterative regularization. Nadezhnost' i kachestvo slozhnykh sistem = Reliability and quality of complex systems. 2022;(4):15–23. (In Russ.). doi:10.21685/2307-4205-2022-4-2