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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…

The weakly compressible Smoothed Particle Hydrodynamics (SPH) is known to suffer from the pressure oscillation, which would undermine the simulation stability and accuracy. To address this issue, we propose a generalized density dissipation…

Fluid Dynamics · Physics 2023-08-30 Bo Xue Zheng , Zhi Wen Cai , Pei Dong Zhao , Xiao Yang Xu , Tak Shing Chan , Peng Yu

Quasiperiodic systems are important space-filling ordered structures, without decay and translational invariance. How to solve quasiperiodic systems accurately and efficiently is of great challenge. A useful approach, the projection method…

Numerical Analysis · Mathematics 2024-01-18 Kai Jiang , ShiFeng Li , Pingwen Zhang

Particle methods play an important role in computational fluid dynamics, but they are among the most difficult to implement and solve. The most common method is smoothed particle hydrodynamics, which is suitable for problem settings that…

Fluid Dynamics · Physics 2025-08-26 Masato Shibukawa , Naoya Ozaki , Maximilien Berthet

The Smoothed Particle Hydrodynamics (SPH) is a particle-based, Lagrangian method for fluid-flow simulations. In this work, fundamental concepts of this method are first briefly recalled. Then, the ability to accurately model granular…

Geophysics · Physics 2016-02-26 Kamil Szewc

In this paper, a stochastic Hamiltonian formulation (SHF) is proposed and applied to dissipative particle dynamics (DPD) simulations. As an extension of Hamiltonian dynamics to stochastic dissipative systems, the SHF provides necessary…

Numerical Analysis · Mathematics 2022-04-26 Linyu Peng , Noriyoshi Arai , Kenji Yasuoka

Effective bending moduli of a fluid membrane are investigated by means of the transfer-matrix method developed in our preceding paper. This method allows us to survey various statistical measures for the partition sum. The role of the…

Soft Condensed Matter · Physics 2009-11-10 Yoshihiro Nishiyama

This note presents a simulation method for investigating the relationship between porosity and particle size distribution in porous media characterization. The method simulates particle packing based on particle size distributions,…

Soft Condensed Matter · Physics 2024-09-25 Yuhe Wang

We propose a method for effectively upscaling incompressible viscous flow in large random polydispersed sphere packings: the emphasis of this method is on the determination of the forces applied on the solid particles by the fluid. Pore…

Soft Condensed Matter · Physics 2015-03-19 B. Chareyre , A. Cortis , E. Catalano , E. Barthélémy

In this paper, we explore osmotic transport by means of molecular dynamics (MD) simulations. We first consider osmosis through a membrane, and investigate the reflection coefficient of an imperfectly semi-permeable membrane, in the dilute…

Mesoscale and Nanoscale Physics · Physics 2017-05-18 Hiroaki Yoshida , Sophie Marbach , Lydéric Bocquet

The present study examines the possibility of numerical simulation of a strong shock wave propagating over the surface of a dense layer of particles poured onto an impermeable wall using the Baer-Nunizato two-phase flow model. The setting…

Fluid Dynamics · Physics 2023-10-23 Pavel Utkin , Petr Chuprov

In this paper we numerically investigate the influence of dissipation during particle collisions in an homogeneous turbulent velocity field by coupling a discrete element method to a Lattice-Boltzmann simulation with spectral forcing. We…

Fluid Dynamics · Physics 2012-12-18 Thomas Burgener , Dirk Kadau , Hans Jürgen Herrmann

Solutions to the stochastic wave equation on the unit sphere are approximated by spectral methods. Strong, weak, and almost sure convergence rates for the proposed numerical schemes are provided and shown to depend only on the smoothness of…

Numerical Analysis · Mathematics 2023-12-06 David Cohen , Annika Lang

A direct numerical simulation (DNS) of a channel flow with one curved surface was performed at moderate Reynolds number (Re_tau = 395 at the inlet). The adverse pressure gradient was obtained by a wall curvature through a mathematical…

Fluid Dynamics · Physics 2017-11-22 Matthieu Marquillie , Jean-Philippe Laval , Rostislav Dolganov

Density discontinuities cannot be precisely modelled in standard formulations of smoothed particles hydrodynamics (SPH) because the density field is defined smoothly as a kernel-weighted sum of neighbouring particle masses. This is a…

Smoothed particle hydrodynamics (SPH) discretization techniques are generalized to develop a method, smoothed particle interpolation (SPI), for solving initial value problems of systems of non-hydrodynamical nature. Under this approach, SPH…

Astrophysics · Physics 2009-10-22 Pablo Laguna

We present a mechanistic model for a Newtonian fluid called fluid particle dynamics. By analyzing the concept of ``fluid particle'' from the point of view of a Voronoi tessellation of a molecular fluid, we propose an heuristic derivation of…

Statistical Mechanics · Physics 2009-10-30 Pep Español

We carry out a direct numerical simulation (DNS) study that reveals the effects of polymers on statistically steady, forced, homogeneous, isotropic fluid turbulence. We find clear manifestations of dissipation-reduction phenomena: On the…

Fluid Dynamics · Physics 2011-02-01 Prasad Perlekar , Dhrubaditya Mitra , Rahul Pandit

An accelerated boundary integral method for Stokes flow of a suspension of deformable particles is presented for an arbitrary domain and implemented for the important case of a planar slit geometry. The computational complexity of the…

Soft Condensed Matter · Physics 2012-08-07 Amit Kumar , Michael D. Graham

A numerical method is developed for solving a system of partial differential equations modeling the flow of a nematic liquid crystal fluid with stretching effect, which takes into account the geometrical shape of its molecules. This system…

Numerical Analysis · Mathematics 2016-07-11 R. C. Cabrales , F. Guillén-González , J. V. Gutiérrez-Santacreu
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