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The immersed boundary-finite element method (IBFE) is an approach to describing the dynamics of an elastic structure immersed in an incompressible viscous fluid. In this formulation, there are discontinuities in the pressure and viscous…

数值分析 · 数学 2020-03-18 Charles Puelz , Boyce E. Griffith

Two dimensional simulations of non-cohesive granular matter in a biaxial shear tester are discussed. The effect of particle elasticity on the mechanical behavior is investigated using two complementary distinct element methods (DEM): Soft…

计算物理 · 物理学 2011-03-11 Dirk Kadau , Dominik Schwesig , Joerg Theuerkauf , Dietrich E. Wolf

This study presents an adaptive coupling peridynamic least-square minimization with the finite element method (PDLSM-FEM) for fracture analysis. The presented method utilizes the PDLSM modeling discontinuities while maximizing the FEM…

数值分析 · 数学 2022-06-22 Qibang Liu , X. J. Xin , Jeff Ma

We propose an implementation of the Smooth Selection Embedding Method (SSEM) in the setting of Chebyshev polynomials. The SSEM is a hybrid fictitious domain / collocation method which solves boundary value problems in complex domains by…

数值分析 · 数学 2019-02-12 Daniel Agress , Patrick Guidotti , Dong Yan

Flexible barriers are increasingly used for the protection from debris flow in mountainous terrain due to their low cost and environmental impact. However, a numerical tool for rational design of such structures is still missing. In this…

软凝聚态物质 · 物理学 2020-07-20 Alessandro Leonardi , Falk K. Wittel , Miller Mendoza , Roman Vetter , Hans J. Herrmann

In this paper, we introduce the Phantom Domain Finite Element Method (PDFEM), a novel computational approach tailored for the efficient analysis of heterogeneous and composite materials. Inspired by fictitious domain methods, this method…

数值分析 · 数学 2025-05-06 Tianlong He , Philippe Karamian-Surville , Daniel Choï

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…

计算工程、金融与科学 · 计算机科学 2024-01-09 Fei-Liang Yuan

The discrete element method (DEM) is a powerful tool for simulating granular soils, but its high computational demand often results in extended simulation times. While the effect of particle size has been extensively studied, the potential…

计算工程、金融与科学 · 计算机科学 2025-01-10 Markus Pogulis , Martin Servin

Isogeometric approach applied to Boundary Element Methods is an emerging research area. In this context, the aim of the present contribution is that of investigating, from a numerical point of view, the Symmetric Galerkin Boundary Element…

数值分析 · 数学 2022-04-07 A. Aimi , M. Diligenti , M. L. Sampoli , A. Sestini

In this article, we present a new unified finite element method (UFEM) for simulation of general Fluid-Structure interaction (FSI) which has the same generality and robustness as monolithic methods but is significantly more computationally…

计算工程、金融与科学 · 计算机科学 2016-08-18 Yongxing Wang , Peter Jimack , Mark Walkley

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…

其他凝聚态物理 · 物理学 2023-09-22 Yeongtae Jang , Eunho Kim , Jinkyu Yang , Junsuk Rho

The scaled boundary finite element method (SBFEM) has recently been employed as an efficient means to model three-dimensional structures, in particular when the geometry is provided as a voxel-based image. To this end, an octree…

数值分析 · 数学 2023-10-31 Hauke Gravenkamp , Albert A. Saputra , Sascha Eisenträger

An isogeometric boundary element method (BEM) is presented to solve scattering problems in an isotropic homogeneous medium. We consider wave problems governed by the scalar wave equation as in acoustics and the Lam\'e-Navier equations for…

计算工程、金融与科学 · 计算机科学 2025-10-09 Thomas Kramer , Benjamin Marussig , Martin Schanz

In this paper, the grinding of powder inside a ball mill is studied using the Bonded Cell Method (BCM) implemented in the framework of Contact Dynamics. In BCM the parent particles are divided into cells that are glued to one another until,…

软凝聚态物质 · 物理学 2019-01-23 Luisa Fernanda Orozco , Duc-Hanh Nguyen , Jean-Yves Delenne , Philippe Sornay , Farhang Radjai

Discrete element modelling (DEM) is one of the most efficient computational approaches to the fracture processes of heterogeneous materials on mesoscopic scales. From the dynamics of single crack propagation through the statistics of crack…

材料科学 · 物理学 2015-09-09 Humberto A. Carmona , Falk K. Wittel , Ferenc Kun

The prediction of a dielectric breakdown in a high-voltage device is based on criteria that evaluate the electric field along field lines. Therefore it is necessary to efficiently compute the electric field at arbitrary points in space. A…

数值分析 · 数学 2020-11-03 Cedric Münger , Steffen Börm , Jörg Ostrowski

This paper proposes a single-domain dual-reciprocity inclusion-based boundary element method (DR-iBEM) for a three-dimensional fully bonded bi-layered composite embedded with ellipsoidal inhomogeneities under transient/harmonic thermal…

数值分析 · 数学 2025-12-11 Chunlin Wu , Liangliang Zhang , Tengxiang Wang , Huiming Yin

Multiphysics problems that are characterized by complex interactions among fluid dynamics, heat transfer, structural mechanics, and electromagnetics, are inherently challenging due to their coupled nature. While experimental data on certain…

机器学习 · 计算机科学 2024-10-16 Khemraj Shukla , Zongren Zou , Chi Hin Chan , Additi Pandey , Zhicheng Wang , George Em Karniadakis

Spectral element methods (SEM), which are extensions of finite element methods (FEM), are important emerging techniques for solving partial differential equations in physics and engineering. SEM can potentially deliver better accuracy due…

数值分析 · 数学 2023-04-28 Jacob Jones , Rebecca Conley , Xiangmin Jiao

An efficient and easy-to-implement method is proposed to regularize integral equations in the 3D boundary element method (BEM). The method takes advantage of an assumed three-noded triangle discretization of the boundary surfaces. The…

经典物理 · 物理学 2009-01-26 Patrick Dangla , Jean-François Semblat , H. Xiao , Nicolas Delépine