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A numerical method for the two-dimensional, incompressible Navier--Stokes equations in vorticity--streamfunction form is proposed, which employs semi-Lagrangian discretizations for both the advection and diffusion terms, thus achieving…

数值分析 · 数学 2018-01-30 Luca Bonaventura , Roberto Ferretti , Lorenzo Rocchi

The simulation of geometrically resolved rigid particles in a fluid relies on coupling algorithms to transfer momentum both ways between the particles and the fluid. In this article, the fluid flow is modeled with a parallel Lattice…

流体动力学 · 物理学 2021-03-22 Lukas Werner , Christoph Rettinger , Ulrich Rüde

In this paper we propose a simple yet powerful vortex method to numerically approximate the dynamics of an incompressible flow. The idea is to sample the distribution of the initial vortices of the fluid flow in question then follow vortex…

流体动力学 · 物理学 2021-10-27 Zhongmin Qian , Youchun Qiu , Yihuang Zhang

A multicomponent extension of our recent theory of simple fluids [ U.M.B. Marconi and S. Melchionna, Journal of Chemical Physics, 131, 014105 (2009) ] is proposed to describe miscible and immiscible liquid mixtures under inhomogeneous, non…

统计力学 · 物理学 2011-02-11 Umberto Marini Bettolo Marconi , Simone Melchionna

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…

数值分析 · 数学 2017-08-23 Libin Lu , Abtin Rahimian , Denis Zorin

We discuss the relation between three recent approaches of describing the dynamics and the spatial distribution of particles suspended in turbulent flows: phase-space singularities in the inertial particle dynamics (caustics), real-space…

流体动力学 · 物理学 2015-06-05 K. Gustavsson , E. Meneguz , M. Reeks , B. Mehlig

We propose a time discretization scheme for a class of ordinary differential equations arising in simulations of fluid/particle flows. The scheme is intended to work robustly in the lubrication regime when the distance between two particles…

数值分析 · 数学 2010-03-25 Matthieu Hillairet , Alexei Lozinski , Marcela Szopos

A theoretical formulation of lattice Boltzmann models on a general curvilinear coordinate system is presented. It is based on a volumetric representation so that mass and momentum are exactly conserved as in the conventional lattice…

流体动力学 · 物理学 2024-01-31 Hudong Chen

In the present work, the Eulerian Large Eddy Simulation of dilute disperse phase flows is investigated. By highlighting the main advantages and drawbacks of the available approaches in the literature, a choice is made in terms of modelling:…

数值分析 · 数学 2015-08-21 Christophe Chalons , Marc Massot , Aymeric Vié

A new class of integro-partial differential equation models is derived for the prediction of granular flow dynamics. These models are obtained using a novel limiting averaging method (inspired by techniques employed in the derivation of…

混沌动力学 · 物理学 2015-06-26 Denis Blackmore , Roman Samulyak , Anthony Rosato

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

统计力学 · 物理学 2009-11-11 G. A. Pavliotis , A. M. Stuart

In this paper, we propose an approach for simulating wall-bounded incompressible turbulent flows by integrating the technology of random vortex method with the core principles of large-eddy simulations (LES). In particular, we employ the…

流体动力学 · 物理学 2025-11-11 Zihao Guo , Zhongmin Qian

In this paper we present three multiphase flow models suitable for the study of the dynamics of compressible dispersed multiphase flows. We adopt the Eulerian approach because we focus our attention to dispersed (concentration smaller than…

This article is an invitation. It is, first, an invitation to consider as a subject worthy of attention the wide range of situations where small discrete elements, either bubbles, droplets or solid particles, are embedded in turbulent…

流体动力学 · 物理学 2023-11-06 Jean-Pierre Minier , Christophe Henry

The large deformations and break up of circular 2D liquid patches in a high Reynolds number (Re=1000) gas flow are investigated numerically. The 2D, plane flow Navier--Stokes equations are directly solved with explicit tracking of the…

chao-dyn · 物理学 2009-10-28 S. Zaleski , Jie Li , S. Succi

We present a multi-scale lattice Boltzmann scheme, which adaptively refines particles' velocity space. Different velocity sets, i.e., higher- and lower-order lattices, are consistently and efficiently coupled, allowing us to use the…

流体动力学 · 物理学 2021-06-16 N. G. Kallikounis , B. Dorschner , I. V. Karlin

Lattice Boltzmann method (LBM) has been applied to predict flow properties of porous media including intrinsic permeability, where it is implicitly assumed that the LBM is equivalent to the incompressible (or near incompressible)…

流体动力学 · 物理学 2016-10-03 Jun Li , Minh Tuan Ho , Lei Wu , Yonghao Zhang

A micro-hydrodynamics model based on elastic collisions of light point solvent particles with a heavy solute particle is investigated in the setting where the light particles have velocity distribution corresponding to a background flow.…

流体动力学 · 物理学 2023-11-21 Radek Erban , Robert A. Van Gorder

A unified framework to derive discrete time-marching schemes for coupling of immersed solid and elastic objects to the lattice Boltzmann method is presented. Based on operator splitting for the discrete Boltzmann equation, second-order…

计算物理 · 物理学 2017-01-04 Ulf D. Schiller

We consider compressible pressureless fluid flows in Lagrangian coordinates in one space dimension. We assume that the fluid self-interacts through a force field generated by the fluid itself. We explain how this flow can be described by a…

偏微分方程分析 · 数学 2014-09-16 Yann Brenier , Wilfrid Gangbo , Giuseppe Savaré , Michael Westdickenberg