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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

In this numerical study, an original approach to simulate non-isothermal viscoelastic fluid flows at high Weissenberg numbers is presented. Stable computations over a wide range of Weissenberg numbers are assured by using the root…

流体动力学 · 物理学 2020-12-09 Stefanie Meburger , Matthias Niethammer , Dieter Bothe , Michael Schäfer

The mathematical up-scaling of gas-liquid bubbly flows was carried out under the framework of the volume averaging theory. A two-fluid model and its associated closure problem were deduced. The closure problem was solved for a case study: a…

流体动力学 · 物理学 2023-11-10 Sergio Baz-Rodriguez

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

A comprehensive scheme for the spatial discretisation of continuity equation, momentum advection and normal and shear stresses at the fluid interfaces is presented for numerically simulating the incompressible two phase flows based on the…

流体动力学 · 物理学 2014-08-11 Jun-De Li

A novel simulation framework has been developed in this study for the direct numerical simulation of the aerodynamic breakup of a vaporizing drop. The interfacial multiphase flow with phase change is resolved using a consistent geometric…

流体动力学 · 物理学 2023-05-10 Bradley Boyd , Yue Ling

We compare the computational performance of two modeling approaches for the flow of dilute cavitation bubbles in a liquid. The first approach is a deterministic model, for which bubbles are represented in a Lagrangian framework as advected…

流体动力学 · 物理学 2023-02-23 Spencer H. Bryngelson , Kevin Schmidmayer , Tim Colonius

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

We present a new asymptotic strategy for general micro-macro models which analyze complex viscoelastic fluids governed by coupled multiscale dynamics. In such models, the elastic stress appearing in the macroscopic continuum equation is…

数学物理 · 物理学 2025-12-22 Xuenan Li , Chun Liu , Di Qi

A novel volume of fluid model (VoF) called explicit volume diffusion (EVD) is developed for the simulation of interfacial flows, including those with turbulence and primary spray atomisation. The EVD model is derived by volume averaging the…

流体动力学 · 物理学 2021-06-30 B. Wang , M. J. Cleary , A. R. Masri

We propose a Finite Volume Method for the simulation of elastoviscoplastic flows, modelled after the extension to the Herschel-Bulkley model by Saramito [J. Non-Newton. Fluid Mech. 158 (2009) 154-161]. The method is akin to methods for…

流体动力学 · 物理学 2019-04-23 Alexandros Syrakos , Yannis Dimakopoulos , John Tsamopoulos

Fully resolved simulation of flows with buoyant particles is a challenging problem since buoyant particles are lighter than the surrounding fluid, and as a result, the two phases are strongly coupled together. In this work, the virtual…

流体动力学 · 物理学 2020-08-05 Vahid Tavanashad , Shankar Subramaniam

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 investigate through numerical simulations the hydrodynamic interactions between two rigid spherical particles suspended on the axis of a cylindrical tube filled with an elastoviscoplastic fluid subjected to pressure-driven flow. The…

流体动力学 · 物理学 2025-05-14 Giancarlo Esposito , John Tsamopoulos , Massimiliano Maria Villone , Gaetano D'Avino

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

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

We study a one dimensional model for two-phase flows in heterogeneous media, in which the capillary pressure functions can be discontinuous with respect to space. We first give a model, leading to a system of degenerated non-linear…

偏微分方程分析 · 数学 2009-09-08 Clément Cancès

In this paper, a three-dimensional numerical solver is developed for suspensions of rigid and soft particles and droplets in viscoelastic and elastoviscoplastic (EVP) fluids. The presented algorithm is designed to allow for the first time…

The immersed interface method (IIM) for fluid-structure interaction imposes discontinuities in the fluid stress along immersed boundaries that are generated by forces concentrated along those boundaries. For a viscous incompressible fluid,…

数值分析 · 数学 2026-03-10 Michael J. Facci , Qi Sun , Boyce E. Griffith

We present a new diffuse interface model for the dynamics of inextensible vesicles in a viscous fluid. A new feature of this work is the implementation of the local inextensibility condition in the diffuse interface context. Local…

数学物理 · 物理学 2015-06-18 Sebastian Aland , Sabine Egerer , John Lowengrub , Axel Voigt
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