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




elastic-plastic flow, dynamics, Wilkins correction, variational inequality


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.

Author Biographies

Vladimir M. Sadovskii

Oxana V. Sadovskaya


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How to Cite

Садовский В.М., Садовская О.В. Algorithms of Solution Correction for Numerical Simulation of the Dynamics of Elastic-Plastic, Granular and Porous Media // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2024. 25. 78-91. doi 10.26089/NumMet.v25r107



Methods and algorithms of computational mathematics and their applications