A robust numerical method for granular hydrodynamics in three dimensions. (28th April 2021)

• Record Type: Journal Article
• Authors: Shakeri, Ali; Schiochet Nasato, Daniel; Müller, Patric; Torres Menéndez, Harol; Pöschel, Thorsten
• Is Part Of: Journal of fluid mechanics. Volume 917(2021)
• Publication Date: 2021-04-28
• Subjects: granular media; Fluid mechanics -- Periodicals; 532.005
• DOI: 10.1017/jfm.2021.291
• Languages: English
• ISSNs: 0022-1120

Abstract

Abstract: Abstract : Granular systems are of a discrete nature. Nevertheless, it can be advantageous to describe their dynamics by means of continuum mechanical methods. The numerical solution of the corresponding hydrodynamic equations is, however, difficult. Therefore, previous numerical simulations are typically geared towards highly specific systems and frequently restricted to two dimensions or mild driving conditions. Here, we present the first robust general simulation scheme for granular hydrodynamics in three dimensions which is not bound to the above limitations. The performance of the simulation scheme is demonstrated by means of three applications which have been proven as notoriously difficult for numerical hydrodynamic description. Although, by construction, our numerical method covers grain-inertia flows, the presented examples demonstrate that it produces reliable results even in the jammed or high density limit.