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This paper develops a first-order system least-squares (FOSLS) formulation for equations of two-phase flow. The main goal is to show that this discretization, along with numerical techniques such as nested iteration, algebraic multigrid,…

数值分析 · 数学 2012-06-01 J. H. Adler , J. Brannick , C. Liu , T. Manteuffel , L. Zikatanov

In this work, a numerical scheme based on a level-set immersed boundary method is employed for the numerical simulation of the flow around two tandem circular cylinders in the subcritical flow regimes. Three different spacing ratios…

流体动力学 · 物理学 2022-06-07 Radouan Boukharfane

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 conformation of a long linear polymer dissolved in fluid and exposed to an extensional flow is well-known to exhibit a "coil-stretch" transition, which for sufficiently long chains can lead to bistability. The present work reports…

软凝聚态物质 · 物理学 2022-02-09 Yijiang Yu , Michael D. Graham

New time integration methods are proposed for simulating incompressible multiphase flow in pipelines described by the one-dimensional two-fluid model. The methodology is based on 'half-explicit' Runge-Kutta methods, being explicit for the…

数值分析 · 数学 2019-02-19 Benjamin Sanderse , Arthur E. P. Veldman

By using a formulation of a class of compressible viscous flows with a heat source via vorticity and expansion-rate, we study the Oberbeck-Boussinesq flows. To this end we establish a new integral representation for solutions of parabolic…

偏微分方程分析 · 数学 2024-10-07 Zihao Guo , Zhongmin Qian , Zihao Shen

In this paper, a multiscale constitutive framework for one-dimensional blood flow modeling is presented and discussed. By analyzing the asymptotic limits of the proposed model, it is shown that different types of blood propagation phenomena…

数值分析 · 数学 2023-12-13 Giulia Bertaglia , Lorenzo Pareschi

Simulations of elastic turbulence, the chaotic flow of highly elastic and inertialess polymer solutions, are plagued by numerical difficulties: The chaotically advected polymer conformation tensor develops extremely large gradients and can…

流体动力学 · 物理学 2024-11-27 Sumithra R. Yerasi , Jason R. Picardo , Anupam Gupta , Dario Vincenzi

We address semigroup well-posedness for a linear, compressible viscous fluid interacting at its boundary with an elastic plate. We derive the model by linearizing the compressible Navier-Stokes equations about an arbitrary flow state, so…

偏微分方程分析 · 数学 2018-08-17 George Avalos , Pelin Guven Geredeli , Justin T. Webster

We consider two models of a compressible inviscid isentropic two-fluid flow. The first one describes the liquid-gas two-phase flow. The second one can describe the mixture of two fluids of different densities or the mixture of fluid and…

偏微分方程分析 · 数学 2019-05-01 Lizhi Ruan , Yuri Trakhinin

We present an experimental study of the rheology and structure of a confined suspension of deformable particles flowing in a quasi-two-dimensional Poiseuille flow. Thanks to a precise microfluidic viscosimetry technique combined with…

软凝聚态物质 · 物理学 2022-04-27 Vassanti Audemar , Thomas Podgorski , Gwennou Coupier

We consider a phase-field model which describes the interactions between the blood flow and the thrombus. The latter is supposed to be a viscoelastic material. The potential describing the cohesive energy of the mixture is assumed to be of…

偏微分方程分析 · 数学 2023-04-10 Maurizio Grasselli , Andrea Poiatti

This short article describes flow parameters, numerical method, and animations of the fluid dynamics video "LES of an Inclined Jet into a Supersonic Turbulent Crossflow"…

We present and analyze a series of benchmark tests regarding the application of the immersed boundary (IB) method to viscoelastic flows through and around non-trivial, stationary geometries. The IB method is widely used for the simulation…

流体动力学 · 物理学 2024-01-17 Cole Gruninger , Aaron Barrett , Fuhui Fang , M. Gregory Forest , Boyce E. Griffith

We develop a method for modeling and simulating a class of two-phase flows consisting of two immiscible incompressible dielectric fluids and their interactions with imposed external electric fields in two and three dimensions. We first…

数值分析 · 数学 2024-07-08 Jielin Yang , Ivan C. Christov , Suchuan Dong

Phase-field methods have long been used to model the flow of immiscible fluids. Their ability to naturally capture interface topological changes is widely recognized, but their accuracy in simulating flows of real fluids in practical…

流体动力学 · 物理学 2019-06-10 Baofang Song , Carlos Plana , Jose M. Lopez , Marc Avila

We developed a new lattice Boltzmann method that allows the simulation of two-phase flow of viscoelastic liquid mixtures. We used this new method to simulate a bubble rising in a viscoelastic fluid and were able to reproduce the…

软凝聚态物质 · 物理学 2009-10-31 A. J. Wagner , L. Giraud , C. E. Scott

In this paper, we present a numerical scheme for the diffuse-interface model in [Abels, Garcke, Gr\"un, M3AS 22(3), 2012] for two-phase flow of immiscible, incompressible fluids. As that model is in particular consistent with…

数值分析 · 数学 2012-10-19 Günther Grün , Fabian Klingbeil

This paper is concerned with regular flows of incompressible weakly viscoelastic fluids which obey a differential constitutive law of Oldroyd type. We study the newtonian limit for weakly viscoelastic fluid flows in $\R^N$ or $\T^N$ for…

偏微分方程分析 · 数学 2008-03-04 Luc Molinet , Raafat Talhouk

Direct Numerical Simulations established that the FENE-P model of viscoelastic flows exhibits the phenomenon of turbulent drag reduction which is caused in experiments by dilute polymeric additives. To gain analytic understanding of the…

统计力学 · 物理学 2009-11-07 Roberto Benzi , Itamar Procaccia