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The use of molecular dynamics (MD) simulations has led to promising results to unravel the atomistic origins of adhesive wear, and in particular for the onset of wear at nanoscale surface asperities. However, MD simulations come with a high…

Soft Condensed Matter · Physics 2022-06-29 Son Pham-Ba , Jean-François Molinari

The modeling of coupled fluid transport and deformation in a porous medium is essential to predict the various geomechanical process such as CO2 sequestration, hydraulic fracturing, and so on. Current applications of interest, for instance,…

Analysis of PDEs · Mathematics 2022-01-03 Mina Karimi , Mehrdad Massoudi , Noel Walkington , Matteo Pozzi , Kaushik Dayal

Deformable elastic bodies in viscous and viscoelastic media constitute a large portion of synthetic and biological complex fluids. We present a parallelized 3D-simulation methodology which fully resolves the momentum balance in the solid…

Computational Physics · Physics 2019-03-11 Amir Saadat , Chris J. Guido , Gianluca Iaccarino , Eric S. G. Shaqfeh

We explore the recently-proposed Virtual Element Method (VEM) for numerical solution of boundary value problems on arbitrary polyhedral meshes. More specifically, we focus on the elasticity equations in three-dimensions and elaborate upon…

Numerical Analysis · Mathematics 2015-07-22 Arun L. Gain , Cameron Talischi , Glaucio H. Paulino

We compare two widely used Lagrangian approaches for modeling granular materials: the Discrete Element Method (DEM) and Smoothed Particle Hydrodynamics (SPH). DEM models individual particle interactions, while SPH treats granular materials…

Soft Condensed Matter · Physics 2025-03-03 Jaekwang Kim , Hyo-Jin Kim , Hyung-Jun Park

Free surface and granular fluid mechanics problems combine the challenges of fluid dynamics with aspects of granular behaviour. This type of problem is particularly relevant in contexts such as the flow of sediments in rivers, the movement…

Computational Engineering, Finance, and Science · Computer Science 2025-01-07 Thomas Leyssens , Michel Henry , Jonathan Lambrechts , Vincent Legat , Jean-François Remacle

In this paper, we study applications of the virtual element method (VEM) for simulating the deformation of multiphase composites. The VEM is a Galerkin approach that is applicable to meshes that consist of arbitrarily-shaped polygonal and…

Numerical Analysis · Mathematics 2022-04-29 N. Sukumar , John E. Bolander

We study time-dependent density segregation of granular mixtures flowing over an inclined plane. Discrete Element Method (DEM) simulations in a periodic box are performed for granular mixtures of same size and different density particles…

Soft Condensed Matter · Physics 2025-04-16 Soniya Kumawat , Vishnu Kumar Sahu , Anurag Tripathi

This article presents a new force model for performing quantitative simulations of dense granular materials. Interactions between multiple contacts (MC) on the same grain are explicitly taken into account. Our readily applicable method…

Soft Condensed Matter · Physics 2018-10-22 Nicolas Brodu , Joshua A. Dijksman , Robert P. Behringer

A novel implicit integration scheme for the Discrete Element Method (DEM) based on the variational integrator approach is presented. The numerical solver provides a fully dynamical description that, notably, reduces to an energy…

Numerical Analysis · Mathematics 2022-05-25 David N. De Klerk , Thomas Shire , Zhiwei Gao , Andrew T. McBride , Christopher J. Pearce , Paul Steinmann

The paper presents a versatile framework for solids which undergo nonisothermal processes with irreversibly changing microstructure at large strains. It outlines rate-type and incremental variational principles for the full thermomechanical…

Numerical Analysis · Mathematics 2022-04-12 Stephan Teichtmeister , Marc-Andre Keip

Modal analysis has long been consolidated as a basic tool to interpret dynamics and build low-order models of mechanical, thermal, and fluid systems. Eigenmodes arising from the spectral decomposition of the underlying linearized dynamics…

Dynamical Systems · Mathematics 2024-12-17 Nicolas Torres-Ulloa , Erick Kracht , Urban Fasel , Benjamin Herrmann

One essential question in material sciences is how to bridge the gap between the microscopic picture and a macroscopic description. The former involves contact forces and deformations, whereas the latter concerns tensorial quantities like…

Statistical Mechanics · Physics 2007-05-23 S. Luding

The discrete element method (DEM) coupled with computational fluid dynamics (CFD), has been developed to simulate complex solid-fluid flow systems. Today, DEM is regarded as an established approach, with extensive applications in industrial…

Fluid Dynamics · Physics 2025-10-16 Toshiki Imatani , Mikio Sakai

Geometric continuum models for fluid lipid membranes are considered using classical field theory, within a covariant variational approach. The approach is cast as a higher-derivative Lagrangian formulation of continuum classical field…

Mathematical Physics · Physics 2017-09-14 Riccardo Capovilla

In this paper, the surface of revolution discrete element method (SR-DEM) is introduced to simulate systems of particles with closed surfaces of revolution. Due to the cylindrical symmetry of a surface of revolution, the geometry of any…

Computational Engineering, Finance, and Science · Computer Science 2024-01-09 Fei-Liang Yuan

For a wide range of applications, we need DEM simulations of granular matter in contact with flexible elastic boundaries. We present a novel method to describe the interaction between granular particles and a flexible elastic membrane.…

Soft Condensed Matter · Physics 2022-10-20 Holger Goetz , Thorsten Pöschel

The paper describes the coupling of the MercuryDPM discrete element method (DEM) code and the implementation of the kernel-independent fast multipole method (KIFMM). The combined simulation framework allows addressing the large class of…

Soft Condensed Matter · Physics 2025-12-11 Igor A. Ostanin

We provide a two dimensional deformation model to describe how soft squishy circular particles respond to external forces and collisions. This model involves formulating mathematical equations and algorithms for the shape of a deformed…

Soft Condensed Matter · Physics 2024-08-28 Roshan Maharana

This paper introduces DEM-Engine, a new submodule of Project Chrono, that is designed to carry out Discrete Element Method (DEM) simulations. Based on spherical primitive shapes, DEM-Engine can simulate polydisperse granular materials and…

Computational Engineering, Finance, and Science · Computer Science 2023-11-10 Ruochun Zhang , Bonaventura Tagliafierro , Colin Vanden Heuvel , Shlok Sabarwal , Luning Bakke , Yulong Yue , Xin Wei , Radu Serban , Dan Negrut