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We propose and analyze a linear and partitioned finite element method for fluid-shell interactions under the arbitrary Lagrangian-Eulerian (ALE) framework. We adopt the P1-bubble/P1/P1 elements for the fluid velocity, pressure, and…

Numerical Analysis · Mathematics 2026-01-07 Bangwei She , Tian Tian , Karel Tuma

We apply monomer-resolved computer simulations of supercoiled ring polymers under shear, taking full account of the hydrodynamic interactions, accompanied, in parallel, by simulations in which these are switched off. The combination of…

Soft Condensed Matter · Physics 2024-04-17 Christoph Schneck , Jan Smrek , Christos N. Likos , Andreas Zöttl

The breakdown of finite element (FEM) computations for the flow of an Oldroyd-B fluid around a cylinder confined between parallel plates, at Weissenberg numbers Wi = O(1), is shown to arise due to a coil-stretch transition experienced by…

Soft Condensed Matter · Physics 2020-07-03 Mohit Bajaj , Matteo Pasquali , J. Ravi Prakash

Fluid transport in microfluidic systems typically is laminar due to the low Reynolds number characteristic of the flow. The inclusion of suspended polymers imparts elasticity to fluids, allowing instabilities to be excited when substantial…

Soft Condensed Matter · Physics 2015-05-18 R. M. Bryce , M. R. Freeman

Turbulent relative dispersion is studied theoretically with a focus on the evolution of probability distribution of the relative separation of two passive particles. A finite separation speed and a finite correlation of relative velocity,…

Chaotic Dynamics · Physics 2007-05-23 Takeshi Ogasawara , Sadayoshi Toh

We consider a few cases of homogeneous and isotropic turbulence differing by the mechanisms of turbulence generation. The advective terms in the Navier-Stokes and Burgers equations are similar. It is proposed that the longitudinal structure…

chao-dyn · Physics 2009-10-30 Victor Yakhot

In probability density function (PDF) methods of turbulent flows, the joint PDF of several flow variables is computed by numerically integrating a system of stochastic differential equations for Lagrangian particles. A mathematically exact…

Fluid Dynamics · Physics 2010-06-17 J. Bakosi

This paper presents a novel methodology for the direct numerical modeling and simulation of turbulent flows. The kinetic model equation is firstly extended to turbulent flow with the account of coupled evolution of kinetic, thermal, and…

Computational Physics · Physics 2025-03-11 Xiaojian Yang , Kun Xu

The non-linear response of entangled polymers to shear flow is complicated. Its current understanding is framed mainly as a rheological description in terms of the complex viscosity. However, the full picture requires an assessment of the…

Computational Physics · Physics 2018-08-21 Airidas Korolkovas , Philipp Gutfreund , Max Wolff

We study the Rolie-Poly model for entangled polymers, using a singular perturbation analysis for the limit of large relaxation time. In this limit, it is shown that the model displays the characteristic features of thixotropic yield stress…

Fluid Dynamics · Physics 2017-05-15 Yuriko Renardy , Michael Renardy

We analyze the capillarity-driven thinning dynamics of entangled polymer solutions described by the Doi-Edwards-Marrucci-Grizzuti (DEMG) model and the Rolie-Poly (RP) model. Both models capture polymer reptation, finite rates of chain…

Soft Condensed Matter · Physics 2022-06-15 Jianyi Du , Hiroko Ohtani , Alper Kiziltas , Kevin Ellwood , Gareth H. McKinley

Simulating complex gas flows from turbulent to rarefied regimes is a long-standing challenge, since turbulence and rarefied flow represent contrasting extremes of computational aerodynamics. We propose a multiscale method to bridge this…

Fluid Dynamics · Physics 2024-08-16 Songyan Tian , Lei Wu

We use an off-lattice microscopic model for solutions of equilibrium polymers (EP) in a lamellar shear flow generated by means of a self-consistent external field between parallel hard walls. The individual conformations of the chains are…

Soft Condensed Matter · Physics 2009-10-31 A. Milchev , J. P. Wittmer , D. P. Landau

We employ the full FENE-P model of hydrodynamics of a dilute polymer solutions to derive a theoretical approach to drag reduction in wall bounded turbulence. We recapture the results of a recent simplified theory which derived the universal…

Chaotic Dynamics · Physics 2007-05-23 R. Benzi , E. De Angelis , I. Procaccia , V. S. L'vov , V. Tiberkevich

We study the translocation of a semiflexible polymer through extended pores with patterned stickiness, using Langevin dynamics simulations. We find that the consequence of pore patterning on the translocation time dynamics is dramatic and…

Soft Condensed Matter · Physics 2018-05-02 Rajneesh Kumar , Abhishek Chaudhuri , Rajeev Kapri

We investigated the elongational flows of the weakly entangled linear polymer melt using a coarse-grained molecular dynamics simulation. We extended the uniform extensional flow (UEF) method developed by Nicholson and Rutledge (D. A.…

Soft Condensed Matter · Physics 2019-01-31 Takahiro Murashima , Katsumi Hagita , Toshihiro Kawakatsu

We present a pedagogical review of the swelling thermodynamics and phase transitions of polymer gels. In particular, we discuss how features of the volume phase transition of the gel's osmotic equilibrium is analogous to other transitions…

Soft Condensed Matter · Physics 2019-06-13 Michael S. Dimitriyev , Ya-Wen Chang , Paul M. Goldbart , Alberto Fernández-Nieves

Geophysical flows are often turbulent and subject to rotation. This rotation modifies the structure of turbulence and is thereby expected to sensibly affect its Lagrangian properties. Here, we investigate the relative dispersion and…

Fluid Dynamics · Physics 2023-03-15 Juan Ignacio Polanco , S. Arun , Aurore Naso

Numerical simulations of pulsatile blood flow in an aortic coarctation require the use of turbulence modeling. This paper considers three models from the class of large eddy simulation (LES) models (Smagorinsky, Vreman,…

Computational Engineering, Finance, and Science · Computer Science 2022-09-02 Sarah Katz , Alfonso Caiazzo , Baptiste Moreau , Ulrich Wilbrandt , Jan Brüning , Leonid Goubergrits , Volker John

When injected through a contraction, high molecular weight polymer solutions exhibit a sharp increase of apparent viscosity which originates from stretching polymer chains above a critical extension rate. This chain stretching can also…

Fluid Dynamics · Physics 2020-04-22 Sandeep Garrepally , Stephane Jouenne , Peter D. Olmsted , Francois Lequeux
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