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The aim of this article is to discuss the concepts of non-local rheology and fluidity, recently introduced to describe dense granular flows. We review and compare various approaches based on different constitutive relations and choices for…

软凝聚态物质 · 物理学 2015-12-01 Mehdi Bouzid , Adrien Izzet , Martin Trulsson , Eric Clement , Philippe Claudin , Bruno Andreotti

A second derivative-based moment method is proposed for describing the thickness and shape of the region where viscous forces are dominant in turbulent boundary layer flows. Rather than the fixed location sublayer model presently employed,…

流体动力学 · 物理学 2020-09-21 David Weyburne

We study the equation of state of pure SU($2$) gauge theory using Monte Carlo simulations. The scale-setting of lattice parameters has been carried by using the gradient flow. We propose a reference scale $t_0$ for the SU($2$) gauge theory…

高能物理 - 格点 · 物理学 2019-04-05 Takehiro Hirakida , Etsuko Itou , Hiroaki Kouno

We investigate the steady uniform shear flow of a granular gas composed of inelastic and rough Maxwell particles. Exploiting the mean-field character of the model, we derive exact expressions for the collisional production rates of the…

软凝聚态物质 · 物理学 2026-02-27 Andrés Santos , Gilberto M. Kremer

The constitutive relations of a dense granular flow composed of self-propelling frictional hard particles are investigated by means of DEM numerical simulations. We show that the rheology, which relates the dynamical friction $\mu$ and the…

软凝聚态物质 · 物理学 2016-11-21 Anton Peshkov , Philippe Claudin , Eric Clement , Bruno Andreotti

We use momentum transfer arguments to predict the friction factor $f$ in two-dimensional turbulent soap-film flows with rough boundaries (an analogue of three-dimensional pipe flow) as a function of Reynolds number Re and roughness $r$,…

流体动力学 · 物理学 2015-05-13 Nicholas Guttenberg , Nigel Goldenfeld

This application paper presents a novel framework based on topological data analysis for the automatic evaluation and ranking of viscous finger simulation runs in an ensemble with respect to a reference acquisition. Individual fingers in a…

We point out some similitudes between the statistics of high Reynolds number turbulence and critical phenomena. An analogy is developed for two-dimensional decaying flows, in particular by studying the scaling properties of the two-point…

chao-dyn · 物理学 2009-10-31 Denis Boyer

We set up the construction of generic (d+2)-dimensional metrics corresponding to (d+1)-dimensional fluids, representing holographically the hydrodynamic regimes of the putative dual theories. We give general seed equilibrium metrics…

高能物理 - 理论 · 物理学 2015-02-04 Natalia Pinzani-Fokeeva , Marika Taylor

We derive and analyze a simplified formulation of the numerical viscosity terms appearing in the expression of the numerical fluxes associated to several High-Resolution Shock-Capturing schemes. After some algebraic pre-processing, we give…

天体物理学 · 物理学 2009-10-31 M. A. Aloy , J. A. Pons , J. M. Ibanez

The rheology of a two-dimensional granular gas under a plane shear is investigated. From the comparison among the discrete element method, the simulation of a set of hydrodynamic equation, and the analytic solution of the steady equation of…

统计力学 · 物理学 2007-05-23 Kuniyasu Saitoh , Hisao Hayakawa

We discuss in this paper phase-field approximations of the Willmore functional and the associated L2-flow. After recollecting known results on the approximation of the Willmore energy and its L1-relaxation, we derive the expression of the…

最优化与控制 · 数学 2013-05-24 Elie Bretin , Simon Masnou , Edouard Oudet

Understanding the dynamics of fluid-driven sediment transport remains challenging, as it is an intermediate region between a granular material and a fluid flow. Boyer \textit{et al.}\citep{Boyer2011} proposed a local rheology unifying dense…

软凝聚态物质 · 物理学 2016-12-28 M. Houssais , C. P. Ortiz , D. J. Durian , D. J. Jerolmack

An exact analytic form for the second virial coefficient, valid for the entire range of temperature, is presented for the Lennard-Jones fluid in this paper. It is derived by making variable transformation that gives rise to the Hamiltonian…

化学物理 · 物理学 2009-09-21 Byung Chan Eu

Steady shearing and planar extension are commonly viewed as two distinct types of flow field, especially in the context of probing the rheology of complex fluids. By leveraging the kinematic equivalence between the two flows, we derive an…

软凝聚态物质 · 物理学 2026-04-14 Nicholas King , Gareth H. McKinley

We simulate a hard-sphere liquid in confined geometry where the separation of the two parallel, hard walls is smaller than two particle diameters. By systematically reducing the wall separation we analyze the behavior of structural and…

软凝聚态物质 · 物理学 2022-08-18 Gerhard Jung , Thomas Franosch

The two-phase thermodynamic (2PT) model {[}J. Chem. Phys., \textbf{119}, 11792 (2003){]} provides a promising paradigm to efficiently determine the ionic entropies of liquids from molecular dynamics (MD). In this model, the vibrational…

化学物理 · 物理学 2017-11-20 Tao Sun , Jiawei Xian , Huai Zhang , Zhigang Zhang , Yigang Zhang

We study the validity of the generalized Reynolds analogy (GRA) in compressible turbulent boundary layers over prism-shaped roughness by mining direct numerical simulation data of Mach 2 and Mach 4 compressible turbulent boundary layers…

流体动力学 · 物理学 2026-01-12 Michele Cogo , Davide Depieri , Matteo Bernardini , Francesco Picano

For many of the physical phenomena around us, we have developed sophisticated models explaining their behavior. Nevertheless, inferring specifics from visual observations is challenging due to the high number of causally underlying physical…

计算机视觉与模式识别 · 计算机科学 2019-10-18 Tom F. H. Runia , Kirill Gavrilyuk , Cees G. M. Snoek , Arnold W. M. Smeulders

The flow of viscoelastic fluids in channels and pipes remain poorly understood, particularly at low Reynolds numbers. Here, we investigate the flow of polymeric solutions in straight channels using pressure measurements and particle…

流体动力学 · 物理学 2019-11-13 Boyang Qin , Paul F. Salipante , Steven D. Hudson , Paulo E. Arratia