Numerical implementation of the Lame equation with complex boundary conditions

A discrete model is constructed for calculating the Lame equation with complex boundary conditions. The model is tested on an analytical solution. A complex boundary condition arises when a microcrack is specified on one of the boundaries. Calculation of microcracks will enable better assessment of the relevance of the simulation and finding out which mechanisms will occur in the case of plasma flow heating in modern plasma and future thermonuclear installations. © 2019 IOP Publishing Ltd. All rights reserved.

Authors
Sorokin S.B.1, 4 , Maksimova A.G.1, 4, 3 , Lazareva G.G. 1, 4, 2, 5 , Arakcheev A.S.3, 5
Conference proceedings
Journal of Physics: Conference Series
Publisher
Institute of Physics Publishing
Number of issue
1
Language
English
Status
Published
DOI
10.1088/1742-6596/1336/1/012016
Number
012016
Volume
1336
Year
2019
Organizations
  • 1 Institute of Computational Mathematics and Mathematical Geophysics SB RAS 6, Ac. Lavrentieva Pr., Novosibirsk, 630090, Russian Federation
  • 2 Peoples' Friendship University of Russia (RUDN University) 6, Miklukho-Maklaya str., Moscow, 117198, Russian Federation
  • 3 Budker Institute of Nuclear Physics SB RAS 11, Ac. Lavrentieva Pr., Novosibirsk, 630090, Russian Federation
  • 4 Novosibirsk State University 1, Pirogova str., Novosibirsk, 630090, Russian Federation
  • 5 Novosibirsk State Technical University 20, Prospekt K. Marksa, Novosibirsk, 630073, Russian Federation
Keywords
Boundary conditions; Microcracks; Numerical methods; Numerical models; Discrete modeling; Lame equations; Numerical implementation; Magnetohydrodynamics
Date of creation
24.12.2019
Date of change
24.12.2019
Short link
https://repository.rudn.ru/en/records/article/record/54852/
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