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Computational technologies for the approximate solution of multidimensional boundary value problems often rely on irregular computational meshes and finite-volume approximations. In this framework, the discrete problem represents the…

数值分析 · 数学 2025-09-03 M. M. Chernyshov , P. N. Vabishchevich

Many scientific and engineering problems involving multi-physics span a wide range of scales. Understanding the interactions across these scales is essential for fully comprehending such complex problems. However, visualizing multivariate,…

图形学 · 计算机科学 2026-02-09 Arisa Cowe , Tyson Neuroth , Qi Wu , Martin Rieth , Jacqueline Chen , Myoungkyu Lee , Kwan-Liu Ma

We study the problem of homogenization for inertial particles moving in a time dependent random velocity field and subject to molecular diffusion. We show that, under appropriate assumptions on the velocity field, the large--scale,…

数学物理 · 物理学 2007-05-23 G. A. Pavliotis , A. M. Stuart , K. C. Zygalakis

We present a new Eulerian framework for the computation of turbulent compressible multiphase channel flows, specifically to assess turbulence modulation by dispersed particulate matter in dilute concentrations but with significant mass…

流体动力学 · 物理学 2025-08-12 Ajay Dhankarghare , Yuval Dagan

Collisionless suspensions of inertial particles (finite-size impurities) are studied in 2D and 3D spatially smooth flows. Tools borrowed from the study of random dynamical systems are used to identify and to characterise in full generality…

混沌动力学 · 物理学 2007-05-23 Jeremie Bec

We introduce a dynamical system based on the vertices of Voronoi tessellations. This dynamical system acts on finite or discrete point sets in the plane, taking a point set to the vertex set of its Voronoi tessellation. We explore the…

动力系统 · 数学 2007-12-24 Natalie Priebe Frank , Sean Hart

A novel experimental platform is developed to investigate the dynamics of inertial particles (micro-droplets) in air turbulence. The goal is to observe particle collision and coalescence in turbulent flows, focusing on its impact on the…

流体动力学 · 物理学 2026-03-12 L. Fu , J. Feng , Y. Chen , F. Gong , X. Meng , E. -W. Saw

In this paper, the results of an international collaborative test case relative to the production of a Direct Numerical Simulation and Lagrangian Particle Tracking database for turbulent particle dispersion in channel flow at low Reynolds…

Preferential concentration of inertial particles in turbulent flow is studied by high resolution direct numerical simulations of two-dimensional turbulence. The formation of network-like regions of high particle density, characterized by a…

混沌动力学 · 物理学 2009-11-10 G. Boffetta , F. De Lillo , A. Gamba

Wavelets provide the flexibility to analyse stochastic processes at different scales. Here, we apply them to multivariate point processes as a means of detecting and analysing unknown non-stationarity, both within and across data streams.…

统计方法学 · 统计学 2020-11-04 Edward A. K. Cohen , Alexander J. Gibberd

In this paper we propose a framework inspired by interacting particle physics and devised to perform clustering on multidimensional datasets. To this end, any given dataset is modeled as an interacting particle system, under the assumption…

统计力学 · 物理学 2012-07-26 Giuliano Armano , Marco Alberto Javarone

We develop a new Lagrangian material particle -- dynamical domain decomposition method (MPD^3) for large scale parallel molecular dynamics (MD) simulation of nonstationary heterogeneous systems on a heterogeneous computing net. MPD^3 is…

分布式、并行与集群计算 · 计算机科学 2007-05-23 Vasilii Zhakhovskii , Katsunobu Nishihara , Yuko Fukuda , Shinji Shimojo

We investigate the spatial distribution of inertial particles suspended in the bulk of a turbulent inhomogeneous flow. By means of direct numerical simulations of particle trajectories transported by the turbulent Kolmogorov flow, we study…

流体动力学 · 物理学 2016-03-23 Filippo De Lillo , Massimo Cencini , Stefano Musacchio , Guido Boffetta

Inertial particles in turbulent flows are characterised by preferential concentration and segregation and, at sufficient mass loading, dense particle clusters may spontaneously arise due to momentum coupling between the phases. These…

流体动力学 · 物理学 2019-01-30 Alessio Innocenti , Rodney O Fox , Sergio Chibbaro

An asymptotic solution is derived for the motion of inertial particles exposed to Stokes drag in an unsteady random flow. This solution provides the finite-time Lyapunov exponents as a function of Stokes number and Lagrangian strain- and…

流体动力学 · 物理学 2016-12-28 Mahdi Esmaily-Moghadam , Ali Mani

This study investigates the spatial distribution of inertial particles in turbulent Taylor-Couette flow. Direct numerical simulations are performed using a one-way coupled Eulerian-Lagrangian approach, with a fixed inner wall Reynolds…

流体动力学 · 物理学 2024-02-28 Hao Jiang , Zhi-ming Lu , Bo-fu Wang , Xiao-hui Meng , Jie Shen , Kai Leong Chong

We describe two new -- stochastic-geometrical -- methods to obtain reliable velocity field statistics from N-body simulations and from any general density and velocity fluctuation field sampled at a discrete set of locations. These methods,…

天体物理学 · 物理学 2007-05-23 Rien van de Weygaert , Francis Bernardeau

Turbulent flows consist of a wide range of interacting scales. Since the scale range increases as some power of the flow Reynolds number, a faithful simulation of the entire scale range is prohibitively expensive at high Reynolds numbers.…

流体动力学 · 物理学 2023-07-24 Dhawal Buaria , Katepalli R. Sreenivasan

Direct numerical simulation of homogeneous isotropic turbulence shows pronounced clustering of inertial particles in the inertial subrange at high Reynolds number, in addition to the clustering typically observed in the near dissipation…

流体动力学 · 物理学 2024-06-06 Keigo Matsuda , Katsunori Yoshimatsu , Kai Schneider

The relative dispersion of pairs of inertial particles in incompressible, homogeneous, and isotropic turbulence is studied by means of direct numerical simulations at two values of the Taylor-scale Reynolds number $Re_{\lambda} \sim 200$…

流体动力学 · 物理学 2015-05-13 J. Bec , L. Biferale , A. S. Lanotte , A. Scagliarini , F. Toschi