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A robust finite volume method for viscoelastic flow analysis on general unstructured meshes is developed. It is built upon a general-purpose stabilization framework for high Weissenberg number flows. The numerical framework provides full…

流体动力学 · 物理学 2020-12-08 Matthias Niethammer , Holger Marschall , Christian Kunkelmann , Dieter Bothe

The accurate and stable simulation of viscoelastic flows remains a significant computational challenge, exacerbated for flows in non-trivial and practical geometries. Here we present a new high-order meshless approach with variable…

流体动力学 · 物理学 2024-05-01 Jack R. C. King , Steven J. Lind

Viscoelastic flows occur widely, and numerical simulations of them are important for a range of industrial applications. Simulations of viscoelastic flows are more challenging than their Newtonian counterparts due to the presence of…

流体动力学 · 物理学 2022-06-06 Jack King , Steven Lind

An extended volume of fluid method is developed for two-phase direct numerical simulations of systems with one viscoelastic and one Newtonian phase. A complete set of governing equations is derived by conditional volume-averaging of the…

流体动力学 · 物理学 2020-12-08 Matthias Niethammer , Günter Brenn , Holger Marschall , Dieter Bothe

Despite its numerical challenges, finite element method is used to compute viscous fluid flow. A consensus on the cause of numerical problems has been reached; however, general algorithms---allowing a robust and accurate simulation for any…

计算工程、金融与科学 · 计算机科学 2019-02-05 Bilen Emek Abali

The high Weissenberg number problem has been a persistent challenge in the numerical simulation of viscoelastic fluid flows. This paper presents an improved lattice Boltzmann method for solving viscoelastic flow problems at high Weissenberg…

流体动力学 · 物理学 2025-08-26 Yuan Yu , Siwei Chen , Lei Wang , Hai-zhuan Yuan , Shi Shu

A fully coupled implicit finite-volume algorithm for incompressible viscoelastic interfacial flows is proposed, whereby the viscoelasticity of the flow is described by an upper-convected Maxwell constitutive model, including limited…

流体动力学 · 物理学 2026-02-10 Ayman Mazloum , Gabriele Gennari , Fabian Denner , Berend van Wachem

We present experimental evidence of global viscoelastic flow transitions in 2:1, 8:1 and 32:1 planar contractions under inertia-less conditions. Light sheet visualization and laser Doppler velocimetry techniques are used to probe spatial…

软凝聚态物质 · 物理学 2011-02-10 Lars Geneiser , Arvind Gopinath , Robert Armstrong , Robert Brown

It is well known that the Poiseuille flow of a visco-elastic polymer fluid between plates or through a tube is linearly stable in the zero Reynolds number limit, although the stability is weak for large Weissenberg numbers. In this paper we…

统计力学 · 物理学 2007-05-23 Bernard Meulenbroek , Cornelis Storm , Alexander N. Morozov , Wim van Saarloos

In this paper, we consider mathematical modeling and numerical simulation of non-isothermal compressible multi-component diffuse-interface two-phase flows with realistic equations of state. A general model with general reference velocity is…

数值分析 · 数学 2018-08-15 Jisheng Kou , Shuyu Sun

Reduced-order models have been widely adopted in fluid mechanics, particularly in the context of Newtonian fluid flows. These models offer the ability to predict complex dynamics, such as instabilities and oscillations, at a considerably…

流体动力学 · 物理学 2023-12-05 Cassio M. Oishi , Alan A. Kaptanoglu , J. Nathan Kutz , Steven L. Brunton

This work presents a novel numerical investigation of the dynamics of free-boundary flows of viscoelastic liquid membranes. The governing equation describes the balance of linear momentum, in which the stresses include the viscoelastic…

流体动力学 · 物理学 2022-04-12 Valeria Barra , Shawn A. Chester , Shahriar Afkhami

We successfully extend a multiscale simulation (MSS) method to nonisothermal well-entangled polymer melt flows between two coaxial cylinders. In the multiscale simulation, the macroscopic flow system is connected to a number of microscopic…

软凝聚态物质 · 物理学 2020-07-30 Yuji Hamada , Takeshi Sato , Takashi Taniguchi

In this study, the OpenFOAM platform, based on the finite volume method, is applied to investigate the two-dimensional viscoelastic flow past a circular cylinder. The FENE-P model, which considers the bounded elongation of polymer…

流体动力学 · 物理学 2022-08-11 Sai Peng , Peng Yu

We propose a system of conservation laws with relaxation source terms (i.e. balance laws) for non-isothermal viscoelastic flows of Maxwell fluids. The system is an extension of the polyconvex elastodynamics of hyperelastic bodies using…

偏微分方程分析 · 数学 2021-04-27 Sébastien Boyaval , Mark Dostalík

Accurately resolving the coupled momentum transfer between the liquid and solid phases of complex fluids is a fundamental problem in multiphase transport processes, such as hydraulic fracture operations. Specifically we need to characterize…

流体动力学 · 物理学 2021-12-22 Célio Fernandes , Salah Faroughi , Ricardo Ribeiro , Ana Isabel , Gareth McKinley

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

Since viscoelastic two-phase flows arise in various industrial and natural processes, developing accurate and efficient software for their detailed numerical simulation is a highly relevant and challenging research task. We present a…

流体动力学 · 物理学 2025-01-08 Matthias Niethammer , Muhammad Hassan Asghar , Tomislav Maric , Dieter Bothe

The steady flow of three viscoelastic fluids (Oldroyd-B, FENE-P, and Owens model for blood) in a two-dimensional channel, partly bound by a deformable, finite thickness neo-Hookean solid, is computed. The limiting Weissenberg number beyond…

软凝聚态物质 · 物理学 2020-07-03 Debadi Chakraborty , J. Ravi Prakash

We present predictions for the flow of elastoviscoplastic (EVP) fluids in the 4 to 1 planar contraction geometry. The Saramito-Herschel-Bulkley fluid model is solved via the finite-volume method with the OpenFOAM software. Both the…

流体动力学 · 物理学 2024-03-19 Milad Mousavi , Yannis Dimakopoulos , John Tsamopoulos
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