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We use existing 3D Discrete Element simulations of simple shear flows of spheres to evaluate the radial distribution function at contact that enables kinetic theory to correctly predict the pressure and the shear stress, for different…

Soft Condensed Matter · Physics 2014-06-03 Dalila Vescovi , Diego Berzi , Patrick Richard , Nicolas Brodu

We use molecular dynamics simulations to study the behavior of a compressible Lennard-Jones fluid in simple shear flow in a two-dimensional nanochannel. The system is equilibrated in the fluid phase close to the triple point at which gas,…

Soft Condensed Matter · Physics 2017-03-31 Madhu Priya , Yitzhak Rabin

A fluctuating interfacial profile in one dimension is studied via Langevin simulations of the Edwards-Wilkinson equation with non-conserved noise and the Mullins-Herring equation with conserved noise. The profile is subject to either…

Statistical Mechanics · Physics 2018-03-28 Markus Gross

We present a novel probabilistic deep learning approach, the 'Stochastic Latent Transformer' (SLT), designed for the efficient reduced-order modelling of stochastic partial differential equations. Stochastically driven flow models are…

Machine Learning · Computer Science 2024-06-21 Ira J. S. Shokar , Rich R. Kerswell , Peter H. Haynes

We present a simple stochastic quadrant model for calculating the transport and de- position of heavy particles in a fully developed turbulent boundary layer based on the statistics of wall-normal fluid velocity fluctuations obtained from a…

Fluid Dynamics · Physics 2016-08-02 C. Jin , I. Potts , M. W. Reeks

The statistical properties of Uniform Momentum Zones (UMZs) are extracted from laboratory and field measurements in rough wall turbulent boundary layers to formulate a set of stochastic models for the simulation of instantaneous velocity…

Fluid Dynamics · Physics 2024-01-15 Roozbeh Ehsani , Michael Heisel , Jiaqi Li , Vaughan Voller , Jiarong Hong , Michele Guala

Stress transmission in realistic granular media often occurs under external load and in the presence of boundary slip. We investigate shear localization in a split-bottom Couette cell with smooth walls subject to a confining pressure…

Soft Condensed Matter · Physics 2021-07-16 Mahnoush Madani , Maniya Maleki , János Török , M. Reza Shaebani

We present a generalisation of efficient numerical frameworks for modelling fluid-filament interactions via the discretisation of a recently-developed, non-local integral equation formulation to incorporate regularised Stokeslets with…

Fluid Dynamics · Physics 2019-10-02 Benjamin J. Walker , Kenta Ishimoto , Hermes Gadêlha , Eamonn A. Gaffney

Modeling stochastic dynamics from discrete observations is a key interdisciplinary challenge. Existing methods often fail to estimate the continuous evolution of probability densities from trajectories or face the curse of dimensionality.…

Computational Engineering, Finance, and Science · Computer Science 2025-12-02 Ruikun Li , Jiazhen Liu , Huandong Wang , Qingmin Liao , Yong Li

This paper develops a general data-driven approach to stochastic elastoplastic modelling that leverages atomistic simulation data directly rather than by fitting parameters. The approach is developed in the context of metallic glasses,…

Statistical Mechanics · Physics 2024-10-02 Bin Xu , Zhao Wu , Jiayin Lu , Michael D. Shields , Chris H. Rycroft , Franz Bamer , Michael L. Falk

Recent experimental observations at JET show evidence of reduced ion temperature profile stiffness, hypothesised to be due to concomitant low magnetic shear (s) and significant toroidal rotational flow shear. Non-linear gyrokinetic…

A statistical mechanics theory for a fluid stratified in density is presented. The predicted statistical equilibrium state is the most probable outcome of turbulent stirring. The slow temporal evolution of the vertical density profile is…

Fluid Dynamics · Physics 2014-09-23 Antoine Venaille , Louis Gostiaux , Joël Sommeria

The fragmentation of filaments in molecular clouds has attracted a lot of attention as there seems to be a relation between the evolution of filaments and star formation. The study of the fragmentation process has been motivated by simple…

Astrophysics of Galaxies · Physics 2018-03-07 R. -A. Chira , J. Kainulainen , J. C. Ibàñez-Mejía , Th. Henning , M. -M. Mac Low

The effect of interfacial slip on steady-state and time-periodic flows of monatomic liquids is investigated using non-equilibrium molecular dynamics simulations. The fluid phase is confined between atomically smooth rigid walls, and the…

Soft Condensed Matter · Physics 2013-01-22 Nikolai V. Priezjev

We present a numerical study of a thin elastic sheet with small extensibility freely sedimenting in a viscous fluid. Two scenarios are investigated: sedimentation in free space and near an infinite wall, where the wall may be vertical or…

Fluid Dynamics · Physics 2023-10-16 Yijiang Yu , Michael Graham

Intermittent fluctuations in the boundary of magnetically confined plasmas are investigated by numerical turbulence simulations of a reduced fluid model describing the evolution of the plasma density and electric drift vorticity in the…

The transition from stick to slip at a dry frictional interface occurs through the breaking of the junctions between the two contacting surfaces. Typically, interactions between the junctions through the bulk lead to rupture fronts…

Turbulence modeling within the RANS equations' framework is essential in engineering due to its high efficiency. Field inversion and machine learning (FIML) techniques have improved RANS models' predictive capabilities for separated flows.…

Fluid Dynamics · Physics 2023-08-29 Chenyu Wu , Yufei Zhang

We investigate the time evolution of an initial step profile separating a bare substrate region from the rest of the compressively strained adsorbate layer near a commensurate to incommensurate transition. The rate of profile evolution as a…

Materials Science · Physics 2013-03-21 E. Granato , S. C. Ying

We derive stochastically-constrained Koiter shell models in line with the SALT (Stochastic Advection by Lie Transport) approach introduced by Holm [Proc. A. 471 (2015)]. First, we deduce the stochastic partial differential equations for the…

Analysis of PDEs · Mathematics 2026-05-12 Prince Romeo Mensah , Pierre Marie Ngougoue Ngougoue