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We focus on a class of solutions of the binormal flow, model of the evolution of vortex filaments, that generate several corner singularities in finite time. This phenomenon has been studied earlier in the regular case, which in this…

偏微分方程分析 · 数学 2025-12-09 Valeria Banica , Renato Lucà , Nikolay Tzvetkov , Luis Vega

A finite-volume method for the one-dimensional shallow-water equations including topographic source terms is presented. Exploiting an original idea by Leroux, the system of partial-differential equations is completed by a trivial equation…

数值分析 · 数学 2025-10-20 Abdou Wahidi Bello

A series of phase diagrams is obtained for a smooth pair-potential with an outer well and a repulsive inner shoulder. Condensed phase coexistence curves are located using free-energy calculations. Liquid-vapour equilibria are obtained with…

统计力学 · 物理学 2009-11-11 D. Quigley , M. I. J. Probert

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,…

软凝聚态物质 · 物理学 2017-03-31 Madhu Priya , Yitzhak Rabin

We have developed a realistic simulation of 2D dry foams under quasi-static shear. After a short transient, a shear-banding instability is observed. These results are compared with measurements obtained on real 2D (confined) foams. The…

软凝聚态物质 · 物理学 2009-11-07 Alexandre Kabla , Georges Debregeas

Many dense granular systems are non-monodisperse, consisting of particles of different sizes, and will segregate based on size during flow. This phenomenon is an important aspect of many industrial and geophysical processes, necessitating…

软凝聚态物质 · 物理学 2024-05-28 Harkirat Singh , David L. Henann

Polar sea ice is crucial to Earth's climate system. Its dynamics also affect coastal communities, wildlife, and global shipping. Sea ice is typically modeled as a continuum fluid using a model proposed almost 50 years ago, which is…

流体动力学 · 物理学 2026-01-28 Gonzalo G. de Diego , Georg Stadler

Maxwell's models for viscoelastic flows are famous for their potential to unify elastic motions of solids with viscous motions of liquids in the continuum mechanics perspective. But rigorous proofs are lacking. The present note is a…

偏微分方程分析 · 数学 2022-12-21 Sébastien Boyaval

Trajectories of a buoyant spherical solid particle in a linear shear flow were investigated at low Reynolds numbers. A two-dimensional CFD analysis was performed to simulate the solid-fluid flows. Our numerical model, the discrete phase…

流体动力学 · 物理学 2019-02-14 Nima Fathi , Seyed Sobhan Aleyasin , Peter Vorobieff , Goodarz Ahmadi

Poiseuille flow in cylindrical and planar geometries with a simplified, pseudoplastic (shear thinning) rheology characterized by constant viscosity plateaus above and below a transition strain rate is considered. Analytical, steady state…

流体动力学 · 物理学 2024-07-26 Chris Reese

\textit{This study focuses on combustion and evaporation of an isolated freely deforming fuel droplet under convective flow. The droplet shape is modified by varying Weber number at moderate Reynolds numbers. A simplified chemical reaction…

流体动力学 · 物理学 2023-08-02 Meha Setiya , John Palmore

We report a direct-numerical-simulation study of Taylor-Couette flow in the quasi-Keplerian regime at shear Reynolds numbers up to $\mathcal{O}(10^5)$. Quasi-Keplerian rotating flow has been investigated for decades as a simplified model…

流体动力学 · 物理学 2017-11-21 Liang Shi , Bjoern Hof , Markus Rampp , Marc Avila

The shear rheology of dense colloidal and granular suspensions is strongly nonlinear, as these materials exhibit shear-thinning and shear-thickening, depending on multiple physical parameters. We numerically study the rheology of a simple…

软凝聚态物质 · 物理学 2014-07-31 Takeshi Kawasaki , Atsushi Ikeda , Ludovic Berthier

We study a generalization of the Pokrovski--Vinogradov model for flows of solutions and melts of an incompressible viscoelastic polymeric medium to nonisothermal flows in an infinite plane channel under the influence of magnetic field. For…

数学物理 · 物理学 2020-02-19 Alexander Blokhin , Dmitry Tkachev

Direct numerical simulation is used to investigate the decay exponent of isotropic homogeneous turbulence over a range of Reynolds numbers sufficient to display both high and low Re number decay behavior. The initial turbulence is generated…

流体动力学 · 物理学 2010-07-29 J. Blair Perot

In the finite element analysis with fast decoupled time integration scheme for viscoelastic fluid (the Leonov model) flow, we investigate strong nonlinear behavior in 2D creeping contraction flow. The algorithm is applicable in the whole…

流体动力学 · 物理学 2011-11-02 Youngdon Kwon

Microscopic dynamics reveal the origin of the bulk rheological response in complex fluids. In model systems particle motion can be tracked, but for industrially relevant samples this is often impossible. Here we adapt differential dynamic…

软凝聚态物质 · 物理学 2022-02-23 James A. Richards , Vincent A. Martinez , Jochen Arlt

Large Eddy Simulation (LES) with dynamic Smagorinsky model has been applied to numerically investigate the complicated flow structures that evolve in the near wake of a cylindrical after body aligned with a uniform Mach 2.46 flow. Mean flow…

流体动力学 · 物理学 2021-02-16 Pratik Das , Ashoke De

We present experimental results on statistics of polymer orientation angles relatively to shear plane and tumbling times in shear flow with thermal noise. Strong deviation of probability distribution functions (PDF) of these parameters from…

混沌动力学 · 物理学 2009-11-11 Sergiy Gerashchenko , Victor Steinberg

The asymptotic derivation of a new family of one-dimensional, weakly nonlinear and weakly dispersive equations that model the flow of an ideal fluid in an elastic vessel is presented. Dissipative effects due to the viscous nature of the…

流体动力学 · 物理学 2020-02-20 Dimitrios Mitsotakis , Denys Dutykh , Li Qian