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.
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
\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}