On enhanced descend algorithms for solving frictional multi-contact problems : applications to the Discrete Element Method

TL;DR

This paper introduces advanced numerical algorithms, including a new Newton method, to efficiently solve frictional multi-contact problems in the Discrete Element Method, enhancing simulation accuracy and computational performance.

Contribution

It develops a novel Newton-based algorithm for frictional multi-contact problems, integrating bi-potential and Augmented Lagrangian theories within the Discrete Element Method.

Findings

Improved convergence of contact algorithms.

Enhanced accuracy in frictional contact simulations.

Demonstrated efficiency of the new Newton method.

Abstract

In this article, we present various numerical methods to solve multi-contact problems within the Non-Smooth Discrete Element Method. The techniques considered to solve the frictional unilateral conditions are based both on the bi-potential theory and the Augmented Lagrangian theory. A new Newton method is developed to improve the classical algorithms.