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Energy Minimization and Preconditioning in the Simulation of Athermal Granular Materials in Two Dimensions

2019/11/15 by Haolei Wang, Lei Zhang, Wang, Haolei +1
Earth and Planetary Sciences · Engineering · Materials Science · #Computational Engineering #Computational Physics (physics.comp-ph) #FOS: Computer and information sciences #FOS: Physical sciences #Finance #Granular flow and fluidized beds #High-pressure geophysics and materials #Material Dynamics and Properties #and Science (cs.CE)

paper · pdf · doi:10.48550/arxiv.1911.08305

openalex publication_date 2019/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Granular materials are heterogenous grains in contact, which are ubiquitous in many scientific and engineering applications such as chemical engineering, fluid mechanics, geomechanics, pharmaceutics, and so on. Granular materials pose a great challenge to predictability, due to the presence of critical phenomena and large fluctuation of local forces. In this paper, we consider the quasi-static simulation of the dense granular media, and investigate the performances of typical minimization algorithms such as conjugate gradient methods and quasi-Newton methods. Furthermore, we develop preconditioning techniques to enhance the performance. Those methods are validated with numerical experiments for typical physically interested scenarios such as the jamming transition, the scaling law behavior close to the jamming state, and shear deformation of over jammed states.

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