Various iterative algorithms for solving systems of linear algebraic equations corresponding to the problems of contact interaction of thermoelastic bodies with a changing configuration of the contact surface are considered. Implementations of the modified successive over-relaxation method (MSSOR), the modified over-relaxation method (MSOR), the modified Jacobi method (MJOR), as well as an algorithm based on the use of the Gaussian elimination with iterative refinement, which allows taking into account the exit from the contact of individual sections of the contact boundary, are presented. The results of applying the algorithms in a demonstration problem simulating thermomechanical processes in a section of a fuel element that includes from two to four pellets and a cladding fragment are presented.
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6 December 2021
NUMERICAL METHODS FOR SOLVING PROBLEMS IN THE THEORY OF ELASTICITY AND PLASTICITY (EPPS 2021)
5–9 July 2021
Krasnoyarsk, Russia
Research Article|
December 06 2021
Application of the MSSOR for solving systems of linear equations corresponding to problems with a changing configuration of the contact surface
P. S. Aronov;
P. S. Aronov
a)
1)
Keldysh Institute of Applied Mathematics (Russian Academy of Sciences)
, Miusskaya sq. 4, Moscow, 125047, Russia
2)
Bauman Moscow State Technical University
, Baumanskaya 2-ya st. 5/1, Moscow, 105005, Russia
a)Corresponding author: [email protected]
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M. P. Galanin;
M. P. Galanin
b)
1)
Keldysh Institute of Applied Mathematics (Russian Academy of Sciences)
, Miusskaya sq. 4, Moscow, 125047, Russia
2)
Bauman Moscow State Technical University
, Baumanskaya 2-ya st. 5/1, Moscow, 105005, Russia
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A. S. Rodin
A. S. Rodin
c)
1)
Keldysh Institute of Applied Mathematics (Russian Academy of Sciences)
, Miusskaya sq. 4, Moscow, 125047, Russia
2)
Bauman Moscow State Technical University
, Baumanskaya 2-ya st. 5/1, Moscow, 105005, Russia
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a)Corresponding author: [email protected]
b)
Electronic mail: [email protected]
c)
Electronic mail: [email protected]
AIP Conf. Proc. 2448, 020002 (2021)
Citation
P. S. Aronov, M. P. Galanin, A. S. Rodin; Application of the MSSOR for solving systems of linear equations corresponding to problems with a changing configuration of the contact surface. AIP Conf. Proc. 6 December 2021; 2448 (1): 020002. https://doi.org/10.1063/5.0073352
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