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Numerical methods and programming, 2024, Volume 25, Issue 1, Pages 78–91
DOI: https://doi.org/10.26089/NumMet.v25r107
(Mi vmp1109)
 

Methods and algorithms of computational mathematics and their applications

Algorithms of solution correction for numerical simulation of the dynamics of elastic-plastic, granular and porous media

V. M. Sadovskii, O. V. Sadovskaya

Institute of Computational Modeling SB RAS (ICM SB RAS)
Abstract: Based on the mathematical apparatus of variational inequalities, original corrective algorithms are developed for numerical solution of dynamic problems in the theory of elastic-plastic Prandtl–Reuss flow with an arbitrary plasticity condition. The method of splitting into physical processes is used. Similar algorithms are constructed to simulate the dynamics of a granular medium and a porous medium with open pores.
Keywords: elastic-plastic flow, dynamics, Wilkins correction, variational inequality.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075–02–2023–912
This work is supported by the Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation in the framework of the establishment and development of regional Centers for Mathematics Research and Education (Agreement No. 075–02–2023–912).
Received: 31.10.2023
Accepted: 08.02.2024
Document Type: Article
UDC: 517.957, 539.372
Language: Russian
Citation: V. M. Sadovskii, O. V. Sadovskaya, “Algorithms of solution correction for numerical simulation of the dynamics of elastic-plastic, granular and porous media”, Num. Meth. Prog., 25:1 (2024), 78–91
Citation in format AMSBIB
\Bibitem{SadSad24}
\by V.~M.~Sadovskii, O.~V.~Sadovskaya
\paper Algorithms of solution correction for numerical simulation of the dynamics of elastic-plastic, granular and porous media
\jour Num. Meth. Prog.
\yr 2024
\vol 25
\issue 1
\pages 78--91
\mathnet{http://mi.mathnet.ru/vmp1109}
\crossref{https://doi.org/10.26089/NumMet.v25r107}
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