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A new numerical method is presented to efficiently simulate the inelastic hard sphere (IHS) model for granular media, when fluid and frozen regions coexist in the presence of gravity. The IHS model is extended by allowing particles to…

Soft Condensed Matter · Physics 2010-12-23 J. Sebastian Gonzalez , Dino Risso , Rodrigo Soto

A method for the discrete particle simulation of of almost rigid, sharply edged frictional particles, such as railway ballast is proposed. In difference to Molecular Dynamics algorithms, the method does not require knowledge about the…

Materials Science · Physics 2007-05-23 Thomas Schwager , Thorsten Poeschel

Phase transition problems on curved surfaces can lead to a panopticon of fascinating patterns. In this paper we consider finite element approximations of phase field models with a spatially inhomogeneous and anisotropic surface energy…

Numerical Analysis · Mathematics 2025-06-09 Harald Garcke , Robert Nürnberg

Algorithmic formulations of GPU programs provide a high-level alternative to device-specific code by expressing computations as compositions of well-defined parallel primitives (e.g., map, sort, reduce), rather than through handcrafted GPU…

Computational Physics · Physics 2026-04-21 Raphael Maggio-Aprile , Maxime Rambosson , Christophe Coreixas , Jonas Latt

We simulate the granulation process of solid spherical particles in the presence of a viscous liquid in a horizontal rotating drum by using molecular dynamics simulations in three dimensions. The numerical approach accounts for the cohesive…

A comparative study on mesh-based and mesh-less Computational Fluid Dynamics (CFD) approaches coupled with the Discrete Element Method (DEM) is presented. As the mesh-based CFD approach a Finite Volume Method (FVM) is used. A Smoothed…

Fluid Dynamics · Physics 2016-09-28 D. Markauskas , H. Kruggel-Emden , R. Sivanesapillai , H. Steeb

We present a discrete element method (DEM) model to simulate the mechanical behavior of sea ice in response to ocean waves. The interaction of ocean waves and sea ice can potentially lead to the fracture and fragmentation of sea ice…

Computational Physics · Physics 2018-08-07 Zhijie Xu , Alexandre M. Tartakovsky , Wenxiao Pan

Numerical simulations are a key tool to decipher the dynamics of gravitation. Yet, they fail to spatially reproduce the Universe we observe, limiting comparison between observations and simulations to a statistical level. This is highly…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-04 Aurélien Valade , Noam Libeskind , Daniel Pomarède , Richard Stiskalek , Yehuda Hoffman , Stefan Gottlöber , R. Brent Tully

A simple position-dependent body force-based confinement for simulating triaxial tests using the Discrete Element Method is presented. The said method is used to perform triaxial simulations on mono-disperse and segregated assemblies of…

Soft Condensed Matter · Physics 2024-05-27 Venkata Rama Manoj Pola , Ratna Kumar Annabattula

This paper proposes a novel approach that combines variational integration with the bonded discrete element method (BDEM) to achieve faster and more accurate fracture simulations. The approach leverages the efficiency of implicit…

Graphics · Computer Science 2025-04-28 Jia-Ming Lu , Geng-Chen Cao , Chen-Feng Li , Shi-Min Hu

In the field of brittle fracture animation, generating realistic destruction animations using physics-based simulation methods is computationally expensive. While techniques based on Voronoi diagrams or pre-fractured patterns are effective…

Graphics · Computer Science 2025-02-21 Yuhang Huang , Takashi Kanai

We propose a simple microscopic model of molecular dynamics simulation to study orientational glass in three dimensions. We present simulation results for mixtures of mildly anisotropic particles and spherical impurities. We realize fcc…

Soft Condensed Matter · Physics 2012-10-29 Kyohei Takae , Akira Onuki

To acquire the ability to numerically study the rheology of particulate two-phase flows that lack scale separation, we present a general method to average or coarse-grain the equations of motion of a mixture of a continuous fluid of…

Fluid Dynamics · Physics 2026-01-22 Thomas Pähtz , Yulan Chen , Rui Zhu , Katharina Tholen , Zhiguo He

In fractured natural formations, the equations governing fluid flow and geomechanics are strongly coupled. Hydrodynamical properties depend on the mechanical configuration, and they are therefore difficult to accurately resolve using…

Numerical Analysis · Mathematics 2021-04-07 Matteo Cusini , Joshua A. White , Nicola Castelletto , Randolph R. Settgast

We propose an efficient method to build a simple discrete element model (DEM) that accurately simulates the oscillation of a continuum beam. The DEM is based on the Timoshenko beam theory of slender cylindrical members and their…

Other Condensed Matter · Physics 2023-09-22 Yeongtae Jang , Eunho Kim , Jinkyu Yang , Junsuk Rho

Aerosol injectors applied in single-particle diffractive imaging experiments demonstrated their potential in efficiently delivering nanoparticles with high density. Continuous optimization of injector design is crucial for achieving…

Rigid bodies, made of smaller composite beads, are commonly used to simulate anisotropic particles with molecular dynamics or Monte Carlo methods. To accurately represent the particle shape and to obtain smooth and realistic effective pair…

Soft Condensed Matter · Physics 2024-02-20 B. Rusen Argun , Yu Fu , Antonia Statt

In this work, we introduce a time memory formalism in poroelasticity model that couples the pressure and displacement. We assume this multiphysics process occurs in multicontinuum media. The mathematical model contains a coupled system of…

Numerical Analysis · Mathematics 2022-01-20 Aleksei Tyrylgin , Maria Vasilyeva , Anatoly Alikhanov , Dongwoo Sheen

Phoretic colloids self-propel thanks to surface flows generated in response to surface gradients (thermal, electrical, or chemical), that are self-induced and/or generated by other particles. Here we present a scalable and versatile…

Soft Condensed Matter · Physics 2024-07-29 Blaise Delmotte , Florencio Balboa Usabiaga

The implementation of finite element methods (FEMs) for nonlocal models with a finite range of interaction poses challenges not faced in the partial differential equations (PDEs) setting. For example, one has to deal with weak forms…

Numerical Analysis · Mathematics 2020-05-22 Marta D'Elia , Max Gunzburger , Christian Vollmann