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Sheared granular layers undergoing stick slip behavior are broadly employed to study the physics and dynamics of earthquakes. Here, a two dimensional implementation of the combined finite discrete element method (FDEM), which merges the…

We study the dynamical behavior of a single degree of freedom mechanical system with a particle damper. The particle (granular) damping was optimized for the primary system operating condition by using an appropriate gap size for a…

软凝聚态物质 · 物理学 2013-02-19 Martín Sánchez , C. Manuel Carlevaro

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…

数值分析 · 数学 2022-04-29 N. Sukumar , John E. Bolander

We present an approach for the inclusion of non-spherical constituents in high-resolution N-body discrete element method (DEM) simulations. We use aggregates composed of bonded spheres to model non-spherical components. Though the method…

地球与行星天体物理 · 物理学 2023-11-21 Julian C. Marohnic , Joseph V. DeMartini , Derek C. Richardson , Yun Zhang , Kevin J. Walsh

Due to neutron irradiation, solid breeder blankets are subjected to complex thermo-mechanical conditions. Within one breeder unit, the ceramic breeder bed is composed of spherical-shaped lithium orthosilicate pebbles, and as a type of…

软凝聚态物质 · 物理学 2014-06-18 Yixiang Gan , Francisco Hernandez , Dorian Hanaor , Ratna Annabattula , Marc Kamlah , Pavel Pereslavtsev

This paper presents two approaches: the virtual element method (VEM) and the stabilization-free virtual element method (SFVEM) for analyzing thermomechanical behavior in electronic packaging structures with geometric multi-scale features.…

数值分析 · 数学 2025-12-29 Yanpeng Gong , Sishuai Li , Fei Qin , Bingbing Xu

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.…

软凝聚态物质 · 物理学 2022-10-20 Holger Goetz , Thorsten Pöschel

Weakly wetted granular material is the subject of many studies. Several formulations were proposed to calculate the capillary forces between wet particles. In this paper some of such models have been implemented in a DEM-framework, and…

软凝聚态物质 · 物理学 2014-09-15 Anton Gladkyy , Ruediger Schwarze

In this article we consider the widely used immersed finite element method (IFEM), in both explicit and implicit form, and its relationship to our more recent one-field fictitious domain method (FDM). We review and extend the formulation of…

数值分析 · 计算机科学 2019-10-23 Yongxing Wang , Peter K. Jimack , Mark A. Walkley

Numerical simulation of nonlinear elastic wave propagation in solids with cracks is indispensable for decoding the complicated mechanisms associated with the nonlinear ultrasonic techniques in Non-Destructive Testing (NDT). Here, we…

地球物理 · 物理学 2019-07-31 Ke Gao , Esteban Rougier , Robert Guyer , Zhou Lei , Paul A. Johnson

Vortex flows are ubiquitous in both natural processes and engineering applications, including phenomena such as typhoons, water currents, and aerospace fluid dynamics. The vortex particle method, a computational approach grounded in vortex…

流体动力学 · 物理学 2025-10-09 Ziqi Ji , Gang Du , Penghao Duan

This paper presents a Model-Inspired Distributionally Robust Data-enabled Predictive Control (MDR-DeePC) framework for systems with partially known and uncertain dynamics. The proposed method integrates model-based equality constraints for…

系统与控制 · 电气工程与系统科学 2025-07-01 Shihao Li , Jiachen Li , Christopher Martin , Soovadeep Bakshi , Dongmei Chen

This paper deals with the asymptotic behavior and FEM error analysis of a class of strongly damped wave equations using a semidiscrete finite element method in spatial directions combined with a finite difference scheme in the time…

数值分析 · 数学 2025-11-03 Krishan Kumar , P. Danumjaya , Anil Kumar , Amiya K. Pani

The large time and length scales and, not least, the vast number of particles involved in industrial-scale simulations inflate the computational costs of the Discrete Element Method (DEM) excessively. Coarse grain models can help to lower…

计算物理 · 物理学 2017-05-11 Daniel Queteschiner , Thomas Lichtenegger , Simon Schneiderbauer , Stefan Pirker

Approximately $75 \%$ of the raw material and $50 \%$ of the products in the chemical industry are granular materials. The Discrete Element Method (DEM) provides detailed insights of phenomena at particle scale and it is therefore often…

材料科学 · 物理学 2021-06-18 Shahab Golshan , Peter Munch , Rene Gassmoller , Martin Kronbichler , Bruno Blais

We present an hp-adaptive virtual element method (VEM) based on the hypercircle method of Prager and Synge for the approximation of solutions to diffusion problems. We introduce a reliable and efficient a posteriori error estimator, which…

数值分析 · 数学 2021-11-30 Franco Dassi , Joscha Gedicke , Lorenzo Mascotto

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…

计算物理 · 物理学 2019-03-11 Amir Saadat , Chris J. Guido , Gianluca Iaccarino , Eric S. G. Shaqfeh

We present a Virtual Element Method (VEM) for a nonlocal reaction-diffusion system of the cardiac electric field. To this system, we analyze an $H^1(\Omega)$-conforming discretization by means of VEM which can make use of general polygonal…

数值分析 · 数学 2018-04-04 Verónica Anaya , Mostafa Bendahmane , David Mora , Mauricio Sepúlveda

We propose a framework for discrete scientific data compression based on the tensor-train (TT) decomposition. Our approach is tailored to handle unstructured output data from discrete element method (DEM) simulations, demonstrating its…

数值分析 · 数学 2022-10-18 Saibal De , Eduardo Corona , Paramsothy Jayakumar , Shravan Veerapaneni

We propose an energy-stable parametric finite element method (ES-PFEM) for simulating solid-state dewetting of thin films in two dimensions via a sharp-interface model, which is governed by surface diffusion and contact line (point)…

数值分析 · 数学 2020-06-08 Quan Zhao , Wei Jiang , Weizhu Bao