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Maxwell 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 the usual Maxwell models allow one to define well motions…

数值分析 · 数学 2022-12-06 Sébastien Boyaval

Viscoelastic rate-type fluids represent a popular class of non-Newtonian fluid models due to their ability to describe phenomena such as stress relaxation, non-linear creep, and normal stress differences. The presence of normal stress…

流体动力学 · 物理学 2026-02-03 Jakub Cach , Patrick E. Farrell , Josef Málek , Karel Tůma

We compute the fluid flow time-correlation functions of incompressible, immiscible two-phase flow in porous media using a 2D network model. Given a properly chosen representative elementary volume, the flow rate distributions are Gaussian…

This paper presents the first high-order computational fluid dynamics (CFD) simulations of static and spinning golf balls at realistic flow conditions. The present results are shown to capture the complex fluid dynamics inside the dimples…

流体动力学 · 物理学 2018-06-04 Jacob Crabill , Freddie Witherden , Antony Jameson

Large-eddy simulation developments and validations are presented for an improved simulation of turbulent internal flows. Numerical methods are proposed according to two competing criteria: numerical qualities (precision and spectral…

流体动力学 · 物理学 2008-01-15 Jérôme Boudet , Joëlle Caro , L. Shao , Emmanuel Lévêque

We analyze the representation of viscous stresses in the one-fluid formulation of the two-phase Navier-Stokes equations, the model on which all computational approaches making use of a fixed mesh to discretize the flow field are grounded.…

流体动力学 · 物理学 2025-06-06 Jacques Magnaudet , Hadrien Bruhier , Samuel Mer , Thomas Bonometti

Granular flow problems characterized by large deformations are widespread in various applications, including coastal and geotechnical engineering. The paper deals with the application of a rigid-perfectly plastic two-phase model extended by…

流体动力学 · 物理学 2024-02-02 Wibke Düsterhöft-Wriggers , Svenja Schubert , Thomas Rung

We perform simulations of an impulsively-started, axisymmetric viscoelastic jet exiting a nozzle and entering a stagnant gas phase using the open-source code Basilisk. This code allows for efficient computations through an…

流体动力学 · 物理学 2024-11-20 Konstantinos Zinelis , Thomas Abadie , Gareth H. McKinley , Omar K. Matar

This work demonstrates that the popular arithmetic mean conformation tensor frequently used in the analysis of turbulent viscoelastic flows is not a good representative of the ensemble. Alternative means based on recent developments in the…

流体动力学 · 物理学 2019-02-22 Ismail Hameduddin , Tamer A. Zaki

We present an hybrid VOF/embedded boundary method allowing to model two-phase flows in presence of solids with arbitrary shapes. The method relies on the coupling of existing methods: a geometric Volume of fluid (VOF) method to tackle the…

We study low-Reynolds-number fluid flow through a two-dimensional porous medium modeled as a Lorentz gas. Using extensive finite element simulations we fully resolve the flow fields for packing fractions approaching the percolation…

流体动力学 · 物理学 2024-05-22 Mirko Residori , Suvendu Mandal , Axel Voigt , Christina Kurzthaler

Mathematical models and numerical simulations are widely used in the field of hemodynamics, representing a valuable resource to better understand physiological and pathological processes. The theory behind the phenomenon is closely related…

流体动力学 · 物理学 2021-06-15 Giulia Bertaglia , Valerio Caleffi , Alessandro Valiani

We investigate the effect of polymer additives on a two-dimensional Kolmogorov flow at very low Reynolds numbers by direct numerical simulations of the Oldroyd-B viscoelastic model. We find that above the elastic instability threshold the…

混沌动力学 · 物理学 2010-06-23 S. Berti , A. Bistagnino , G. Boffetta , A. Celani , S. Musacchio

We present the full three-dimensional numerical investigation of the von Karman swirling flow between two parallel plates using the Oldroyd-B model and characterize the onset and development of elastic turbulence. We quantify the flow state…

流体动力学 · 物理学 2022-05-11 Reinier van Buel , Holger Stark

The hydrodynamics of viscoelastic materials (for example polymer melts and solutions) presents interesting and complex phenomena, for example instabilities and turbulent flow at very low Reynolds numbers due to normal stress effects and the…

软凝聚态物质 · 物理学 2007-05-23 Ellak Somfai , Alexander N. Morozov , Wim van Saarloos

Reservoir simulators utilize numerical techniques to solve the governing equations of fluid flow in porous media and they are essential tool for oil and gas fields development. In practical reservoir simulation, the finite difference method…

流体动力学 · 物理学 2023-11-14 Taofik H. Nassan , Mohd Amro

We present a cut-cell method for the simulation of 2D incompressible flows past obstacles. It consists in using the MAC scheme on cartesian grids and imposing Dirchlet boundary conditions for the velocity field on the boundary of solid…

偏微分方程分析 · 数学 2019-01-25 François Bouchon , Thierry Dubois , Nicolas James

In this paper, we propose a new formulation and a suitable finite element method for the steady coupling of viscous flow in deformable porous media using divergence-conforming filtration fluxes. The proposed method is based on the use of…

In this article, we discuss a couple of nonlinear Galerkin method (NLG) in finite element set up for viscoelastic fluid flow, mainly equations of motion arising in the flow of 2D Oldroyd model. We obtain improved error estimate in…

数值分析 · 数学 2012-09-04 Deepjyoti Goswami

The flow in a shock tube is extremely complex with dynamic multi-scale structures of sharp fronts, flow separation, and vortices due to the interaction of the shock wave, the contact surface, and the boundary layer over the side wall of the…

流体动力学 · 物理学 2018-01-17 Guangzhao Zhou , Kun Xu , Feng Liu