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The emergent fluctuating hydrodynamics of a viscoelastic fluid modeled by the multiparticle collision dynamics (MPC) approach is studied. The fluid is composed of flexible, Gaussian phantom polymers, which interact by local…

Soft Condensed Matter · Physics 2020-01-29 David Toneian , Gerhard Kahl , Gerhard Gompper , Roland G. Winkler

Coherent structures/motions in turbulence inherently give rise to intermittent signals with sharp peaks, heavy-skirt, and skewed distributions of velocity increments, highlighting the non-Gaussian nature of turbulence. That suggests that…

Computational Engineering, Finance, and Science · Computer Science 2019-09-24 Mehdi Samiee , Ali Akhavan-Safaei , Mohsen Zayernouri

Recently, using an Atomic Force Microscope and a single cantilever excited at different frequencies it was shown that water nanomeniscus can exhibit a transition in mechanical responses when submitted to stimuli above few tens of kHz. The…

Soft Condensed Matter · Physics 2016-09-26 Simon Carpentier , Mario S. Rodrigues , Luca Costa , Miguel V. VItorino , Joel Chevrier

The paper extends a stabilized fictitious domain finite element method initially developed for the Stokes problem to the incompressible Navier-Stokes equations coupled with a moving solid. This method presents the advantage to predict an…

Numerical Analysis · Mathematics 2017-07-12 Sébastien Court , Michel Fournié

While there are a number of models that tackle the problem of calculating friction forces on the atomic level, providing a completely parameter-free approach remains a challenge. Here we present a quasi-static model to obtain an…

Mesoscale and Nanoscale Physics · Physics 2014-11-19 Michael Wolloch , Gregor Feldbauer , Peter Mohn , Josef Redinger , András Vernes

We investigate flow pattern formation and viscosity reduction mechanisms in active fluids by studying a generalized Navier-Stokes model that captures the experimentally observed bulk vortex dynamics in microbial suspensions. We present…

Fluid Dynamics · Physics 2017-05-03 Jonasz Słomka , Jörn Dunkel

This paper studies global existence, hydrodynamic limit, and large-time behavior of weak solutions to a kinetic flocking model coupled to the incompressible Navier-Stokes equations. The model describes the motion of particles immersed in a…

Analysis of PDEs · Mathematics 2013-11-25 J. A. Carrillo , Y. -P. Choi , T. K. Karper

We consider a Navier-Stokes fluid-plate interaction (FSI) system which describes the evolutions of the fluid contained within a 3D cavity, as it interacts with a deformable elastic membrane on the ``free" upper boundary of the cavity. These…

Analysis of PDEs · Mathematics 2025-07-04 Pelin G. Geredeli , Quyuan Lin , Dylan Mcknight , Mohammad Mahabubur Rahman

Friction in ordered atomistic layers plays a central role in various nanoscale systems ranging from nanomachines to biological systems. It governs transport properties, wear and dissipation. Defects and incommensurate lattice constants…

Soft Condensed Matter · Physics 2017-05-24 Jan Kiethe , Ramil Nigmatullin , Dimitri Kalincev , Thorben Schmirander , Tanja E. Mehlstaubler

Velocity autocorrelation functions (VAF) of the fluids are studied on short- and long-time scales within a unified approach. This approach is based on an effective summation of the infinite continued fraction at a reasonable assumption…

Statistical Mechanics · Physics 2019-01-25 V. V. Ignatyuk , I. M. Mryglod , T. Bryk

We develop a fully continuous model for colloidal suspensions with hydrodynamic interactions. The Navier Stokes Phase Field Crystal (NS-PFC) model combines ideas of dynamic density functional theory with particulate flow approaches and is…

Soft Condensed Matter · Physics 2015-04-27 Simon Praetorius , Axel Voigt

The location of the Frenkel line (FL) of a Lennard-Jones fluid which demarcates two distinct physical states, liquidlike and gaslike within the supercritical regime, has been established through molecular dynamics (MD) simulations of the…

Statistical Mechanics · Physics 2018-01-29 Kanka Ghosh , C. V. Krishnamurthy

We show the existence of weak solutions to the fluid-structure interaction problem of a largely deforming viscoelastic bulk solid with a viscous fluid governed by the incompressible Navier-Stokes equations. In contrast to previous works,…

Analysis of PDEs · Mathematics 2026-03-13 Antonín Češík , Malte Kampschulte , Sebastian Schwarzacher

We consider the Navier-Stokes-Fourier system governing the motion of a general compressible, heat conducting, Newtonian fluid driven by random initial/boundary data. Convergence of the stochastic collocation and Monte Carlo numerical…

Numerical Analysis · Mathematics 2024-01-12 Eduard Feireisl , Maria Lukacova-Medvidova , Bangwei She , Yuhuan Yuan

We present a theoretical description of the fluid--structure interaction observed within a Starling resistor. The typical setup consists of a pre-stretched finite length thin-walled elastic tube mounted between two rigid tubes. The…

Fluid Dynamics · Physics 2025-10-28 Daniel J. Netherwood , Robert J. Whittaker

In the continuum flow regime, the Navier-Stokes equations are usually used for the description of gas dynamics. On the other hand, the Boltzmann equation is applied for the rarefied gas dynamics. Both equations are constructed from modeling…

Fluid Dynamics · Physics 2017-03-08 Kun Xu , Chang Liu

The velocity autocorrelation function (VACF) encapsulates extensive information about a fluid's molecular-structural and hydrodynamic properties. We address the following fundamental question: How well can a purely hydrodynamic description…

Soft Condensed Matter · Physics 2024-04-22 Sean L Seyler , Charles E Seyler

In this work, we investigate the small-time global exact controllability of the Navier-Stokes equation, both towards the null equilibrium state and towards weak trajectories. We consider a viscous incompressible fluid evolving within a…

Analysis of PDEs · Mathematics 2017-03-07 Jean-Michel Coron , Frédéric Marbach , Franck Sueur

Through molecular dynamics simulations, we examined hydrodynamic behavior of the Brownian motion of fullerene particles based on molecular interactions. The solvation free energy and the velocity autocorrelation function (VACF) were…

Soft Condensed Matter · Physics 2019-05-31 Keisuke Mizuta , Yoshiki Ishii , Kang Kim , Nobuyuki Matubayasi

The confinement of an ionic liquid between charged solid surfaces is treated using an exactly solvable 1D Coulomb gas model. The theory highlights the importance of two dimensionless parameters: the fugacity of the ionic liquid, and the…

Soft Condensed Matter · Physics 2014-09-08 Alpha A Lee , Dominic Vella , Susan Perkin , Alain Goriely