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Proximal methods are known to identify the underlying substructure of nonsmooth optimization problems. Even more, in many interesting situations, the output of a proximity operator comes with its structure at no additional cost, and…

最优化与控制 · 数学 2023-02-10 Gilles Bareilles , Franck Iutzeler , Jérôme Malick

A stable numerical solution of the steady Stokes problem requires compatibility between the choice of velocity and pressure approximation that has traditionally proven problematic for meshless methods. In this work, we present a…

数值分析 · 数学 2016-11-15 Nathaniel Trask , Martin Maxey , Xiaozhe Hu

We suggest a simple model for the dynamics of granular particles in suspension which is suitable for an event driven algorithm, allowing to simulate $N=\mathcal{O}(10^6)$ particles or more. As a first application we consider a dense…

软凝聚态物质 · 物理学 2014-06-17 Andrea Fiege , Annette Zippelius

The inertial number-based rheology, popularly known as the JFP model, is well known for describing the rheology of granular materials in the dense flow regime. While most of the recent studies focus on the steady-state rheology of granular…

软凝聚态物质 · 物理学 2024-05-16 Satyabrata Patro , Anurag Tripathi

We present a phenomenological model for granular suspension rheology in which particle interactions enter as constraints to relative particle motion. By considering constraints that are formed and released by stress respectively, we derive…

软凝聚态物质 · 物理学 2018-09-26 B. M. Guy , J. A. Richards , D. J. M. Hodgson , E. Blanco , W. C. K. Poon

The nonlinear rheological properties of dense colloidal suspensions under steady shear are discussed within a first principles approach. It starts from the Smoluchowski equation of interacting Brownian particles in a given shear flow,…

软凝聚态物质 · 物理学 2008-10-15 Matthias Fuchs

The shear rheology of dense colloidal and granular suspensions is strongly nonlinear, as these materials exhibit shear-thinning and shear-thickening, depending on multiple physical parameters. We numerically study the rheology of a simple…

软凝聚态物质 · 物理学 2014-07-31 Takeshi Kawasaki , Atsushi Ikeda , Ludovic Berthier

Gadget3 is nowadays one of the most frequently used high performing parallel codes for cosmological hydrodynamical simulations. Recent analyses have shown t\ hat the Neighbour Search process of Gadget3 is one of the most time-consuming…

天体物理仪器与方法 · 物理学 2018-11-07 Antonio Ragagnin , Nikola Tchipev , Michael Bader , Klaus Dolag , Nicolay J. Hammer

We present an adaptive reduced-order model for the efficient time-resolved simulation of fluid-structure interaction problems with complex and non-linear deformations. The model is based on repeated linearizations of the structural balance…

流体动力学 · 物理学 2020-04-13 Ali Thari , Vito Pasquariello , Niels Aage , Stefan Hickel

We present an algorithm for the rapid numerical integration of smooth, time-periodic differential equations with small nonlinearity, particularly suited to problems with small dissipation. The emphasis is on speed without compromising…

数值分析 · 数学 2015-06-23 Michele V. Bartuccelli , Jonathan H. B. Deane , Guido Gentile

We present a methodology for simulating dilute suspensions of particles settling under gravity, with the main purpose of overcoming limitations of triply periodic configurations, mainly the strong vertical correlation that hinders the study…

流体动力学 · 物理学 2026-04-24 M. Moriche , M. García-Villalba , M. Uhlmann

We study the rheology of dense granular flows for frictionless spherocylinders by means of 3D numerical simulations. As in the case of spherical particles, the effective friction $\mu$ is an increasing function of the inertial number $I$,…

软凝聚态物质 · 物理学 2017-12-13 Dániel B. Nagy , Philippe Claudin , Tamás Börzsönyi , Ellák Somfai

We present a multiscale simulation algorithm for amorphous materials, which we illustrate and validate in a canonical case of dense granular flow. Our algorithm is based on the recently proposed Spot Model, where particles in a dense random…

软凝聚态物质 · 物理学 2009-11-11 Chris H. Rycroft , Martin Z. Bazant , Gary S. Grest , James W. Landry

We propose an improved effective-medium theory to obtain the concentration dependence of the viscosity of particle suspensions at arbitrary volume fractions. Our methodology can be applied, in principle, to any particle shape as long as the…

软凝聚态物质 · 物理学 2010-06-01 I. Santamaria-Holek , Carlos I. Mendoza

Massively parallel hardware (GPUs) and long sequence data have made parallel algorithms essential for machine learning at scale. Yet dynamical systems, like recurrent neural networks and Markov chain Monte Carlo, were thought to suffer from…

数值分析 · 数学 2026-03-18 Xavier Gonzalez

Efficient sorting of target cells is crucial for advancing cellular research in biology and medical diagnostics. Inertial microfluidics, an emerging technology, offers a promising approach for label-free particle sorting with high…

流体动力学 · 物理学 2023-08-04 Sayan Karmakar , Md Safwan Mondal , Anish Pal , Sourav Sarkar

Fast prediction of suspension rheology is fundamental for optimizing process efficiency and performance in numerous industrial settings. However, traditional simulations are computationally demanding due to explicit evaluation of contact…

软凝聚态物质 · 物理学 2026-02-10 Armin Aminimajd , Joao Maia , Abhinendra Singh

A method is provided for approximating random slow manifolds of a class of slow-fast stochastic dynamical systems. Thus approximate, low dimensional, reduced slow systems are obtained analytically in the case of sufficiently large time…

动力系统 · 数学 2013-03-12 Jian Ren , Jinqiao Duan , Christopher K. R. T. Jones

The complexity of nearest-neighbor search dominates the asymptotic running time of many sampling-based motion-planning algorithms. However, collision detection is often considered to be the computational bottleneck in practice. Examining…

机器人学 · 计算机科学 2016-11-01 Michal Kleinbort , Oren Salzman , Dan Halperin

Many functional materials, such as paints and inks used in applications like coating and 3D printing, are concentrated granular suspensions. In such systems, the contact line dynamics and the internal structure of the suspension interact…