DOI: https://doi.org/10.26089/NumMet.v25r107

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

Authors

  • Vladimir M. Sadovskii
  • Oxana V. Sadovskaya

Keywords:

elastic-plastic flow
dynamics
Wilkins correction
variational inequality

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.

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Published

2024-03-01

Issue

Vol. 25 (2024): Issue 1.

Section

Methods and algorithms of computational mathematics and their applications

Author Biographies

Vladimir M. Sadovskii

Institute of Computational Modeling SB RAS (ICM SB RAS)
• Chief Researcher

Oxana V. Sadovskaya

Institute of Computational Modeling SB RAS (ICM SB RAS)
• Senior Researcher

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