Analysis of the leapfrog-Verlet method applied to the Kuwabara-Kono force model in discrete element method simulations of granular materials

DOI10.1007/s10444-024-10162-3zbMATH Open1545.6529MaRDI QIDQ6601297

Yuri Dumaresq Sobral, Gabriel Nóbrega Bufolo

Publication date: 10 September 2024

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

zbMATH Keywords

granular materialsVerlet methoddiscrete element methodleapfrog methodKuwabara-Kono model

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Granular flows (76T25) Collision of rigid or pseudo-rigid bodies (70F35)

Cites Work

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• An approximate formula for a partial sum of the divergent \(p\)-series
• On uniqueness criteria for systems of ordinary differential equations
• On the contact of solid elastic bodies
• Geometric numerical integration illustrated by the Störmer–Verlet method
• Granular Media
• Kuwabara-Kono numerical dissipation: a new method to simulate granular matter
• Establishing stable time‐steps for DEM simulations of non‐collinear planar collisions with linear contact laws
• Computational Physics

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