Abstract
We consider the problem of determining the thermomechanical state of a fuel element in a nuclear reactor. A finite element algorithm for solving the thermal problem together with the problem of mechanical contact is described, and a model one-dimensional problem is studied to clarify the main features and a numerical algorithm for solving it. The leading term of the asymptotic expansion of the solution of this problem and a difference scheme for its solution, including iterative methods, are constructed. A cycle of test calculations is carried out to confirm the theoretical estimates. The comparison of calculations for real problems with theoretical predictions shows that the algorithm for solving a multidimensional nonlinear problem qualitatively corresponds to the behavior of one-dimensional calculations.
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Funding
This work was supported by the Russian Science Foundation, project no. 22-21-00260. https://rscf.ru/en/project/22-21-00260/.
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Translated by V. Potapchouck
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Galanin, M.P., Rodin, A.S. Nonideal Thermal Contact Problem. Diff Equat 59, 810–821 (2023). https://doi.org/10.1134/S0012266123060095
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DOI: https://doi.org/10.1134/S0012266123060095