Open AccessNumerical modelling in problems of thermal control for three-layer structures with defects
Author(s) -
Yu. I. Dimitrienko,
I. K. Krasnov,
A. A. Salnikova,
Yu. Yurin
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1990/1/012059
Subject(s) - thermal conduction , finite element method , inverse , inverse problem , simple (philosophy) , gradient descent , thermal conductivity , mathematics , layer (electronics) , thermal , descent (aeronautics) , mathematical analysis , geometry , computer science , materials science , physics , thermodynamics , meteorology , composite material , artificial neural network , philosophy , epistemology , machine learning
This article describes solutions to the direct and inverse problems of the three-dimensional non-stationary heat conduction problem in a three-layer structure, using the finite element method for the direct problem and the gradient descent method for the inverse problem. A comparison of the FEM-solution and the analytical solution for a solid with a simple geometry is presented. Here are presented solutions of the direct and inverse three-dimensional non-stationary heat conductivity problem for a free three-stage turbine. The accuracy of the found and exact solutions is compared.