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Discrete Element Methods (DEM), i.e.~the simulation of many rigid particles, suffer from very stiff differential equations plus multiscale challenges in space and time. The particles move smoothly through space until they interact almost…

Mathematical Software · Computer Science 2023-09-28 Peter Noble , Tobias Weinzierl

The separation of different kind of plastic particles is required in the process of waste recycling. For the separation drum processes passed through by a liquid are applicable. Thereby the separation is based on the principle that…

Fluid Dynamics · Physics 2017-11-15 Darius Markauskas , Harald Kruggel-Emden , Viktor Scherer

A data-driven surrogate framework to accelerate particle-resolved modelling of quasi-dilute suspensions of rigid, non-spherical particles in Stokes flow is introduced. A regularized-Stokeslet boundary element method (BEM) is implemented to…

Fluid Dynamics · Physics 2025-12-17 Marco Laudato

Understanding the flow of deformable particles such as liquid drops, synthetic capsules and vesicles, and biological cells confined in a small channel is essential to a wide range of potential chemical and biomedical engineering…

Fluid Dynamics · Physics 2020-11-18 J. M. Lyu , Paul G. Chen , G. Boedec , M. Leonetti , M. Jaeger

The steady flow of spherical particles in a rectangular bin is studied using the Discrete Element Method (DEM) for different flow rates of the particles from the bin, in the slow flow regime. The flow has two non-zero velocity components…

Soft Condensed Matter · Physics 2020-01-29 Ashish Bhateja , Devang V. Khakhar

A substantial number of algorithms exists for the simulation of moving particles suspended in fluids. However, finding the best method to address a particular physical problem is often highly non-trivial and depends on the properties of the…

Soft Condensed Matter · Physics 2015-02-10 Jens Harting , Stefan Frijters , Marco Ramaioli , Martin Robinson , Dietrich E. Wolf , Stefan Luding

We present a new, simple, fast algorithm to numerically evolve disks of inelastically colliding particles surrounding a central star. Our algorithm adds negligible computational cost to the fastest existing collisionless N-body codes, and…

Astrophysics · Physics 2008-11-26 Yoram Lithwick , Eugene Chiang

In this work we present a novel bulk-surface virtual element method (BSVEM) for the numerical approximation of elliptic bulk-surface partial differential equations (BSPDEs) in three space dimensions. The BSVEM is based on the discretisation…

Numerical Analysis · Mathematics 2023-05-24 Massimo Frittelli , Anotida Madzvamuse , Ivonne Sgura

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

A numerical method based on smoothed particle hydrodynamics with adaptive spatial resolution (SPH-ASR) was developed for simulating free surface flows. This method can reduce the computational demands while maintaining the numerical…

Computational Physics · Physics 2021-07-28 Xiufeng Yang , Song-Charng Kong , Moubin Liu , Qingquan Liu

This paper revisits the fundamental equations for the solution of the frictionless unilateral normal contact problem between a rough rigid surface and a linear elastic half-plane using the boundary element method (BEM). After recasting the…

Materials Science · Physics 2015-06-02 A. Bemporad , M. Paggi

In this paper, we develop a high-order adaptive virtual element method (VEM) to simulate the self-consistent field theory (SCFT) model in arbitrary domains. The VEM is very flexible in handling general polygon elements and can treat hanging…

Numerical Analysis · Mathematics 2021-06-15 Huayi Wei , Xin Wang , Chunyu Chen , Kai Jiang

A large number of powerful, high-quality, and open-source simulation packages exist to efficiently perform molecular dynamics simulations, and their prevalence has greatly accelerated discoveries across a wide range of scientific domains.…

Soft Condensed Matter · Physics 2024-05-01 Toler H. Webb , Daniel M. Sussman

We suggest a finite element method for computing minimal surfaces based on computing a discrete Laplace-Beltrami operator operating on the coordinates of the surface. The surface is a discrete representation of the zero level set of a…

Numerical Analysis · Mathematics 2014-03-17 Mirza Cenanovic , Peter Hansbo , Mats G. Larson

In this work we propose an efficient and accurate multi-scale optical simulation algorithm by applying a numerical version of slowly varying envelope approximation in FEM. Specifically, we employ the fast iterative method to quickly compute…

Optics · Physics 2024-12-03 Fan Xiao , Jingwei Wang , Zhongfei Xiong , Yuntian Chen

We perform experiments and discrete element simulations on the dosing of cohesive granular materials in a simplified geometry. The setup is a simplified canister box where the powder is dosed out of the box through the action of a…

Rigorous computer simulations of propagating electromagnetic fields have become an important tool for optical metrology and design of nanostructured optical components. A vectorial finite element method (FEM) is a good choice for an…

Optics · Physics 2009-05-28 L. Zschiedrich , S. Burger , A. Schädle , F. Schmidt

Based on the thermodynamic variation, we rigorously derive the sharp-interface model for solid-state dewetting on a flat substrate in the form of cylindrical symmetry. The governing equations for the model belong to fourth-order geometric…

Materials Science · Physics 2018-05-22 Quan Zhao

DETR-based methods, which use multi-layer transformer decoders to refine object queries iteratively, have shown promising performance in 3D indoor object detection. However, the scene point features in the transformer decoder remain fixed,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Chuxin Wang , Wenfei Yang , Xiang Liu , Tianzhu Zhang

We present an efficient, accurate, and robust method for simulation of dense suspensions of deformable and rigid particles immersed in Stokesian fluid in two dimensions. We use a well-established boundary integral formulation for the…

Numerical Analysis · Mathematics 2017-08-23 Libin Lu , Abtin Rahimian , Denis Zorin
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