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We present a comprehensive validation, performance characterization, and scalability analysis of a hardware-accelerated phase-averaged multiscale solver designed to simulate acoustically driven dilute bubbly suspensions. The carrier fluid…

Fluid Dynamics · Physics 2026-04-24 Diego Vaca-Revelo , Benjamin Wilfong , Spencer H. Bryngelson , Aswin Gnanaskandan

Ensemble-averaged polydisperse bubbly flow models require statistical moments of the evolving bubble size distribution. Under step forcing, these moments reach statistical equilibrium in finite time. However, the transitional phase before…

Computational Physics · Physics 2025-10-28 Spencer H. Bryngelson

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…

Fluid Dynamics · Physics 2023-11-10 Sergio Baz-Rodriguez

We present a coupled Eulerian-Lagrangian method to simulate cloud cavitation in a compressible liquid. The method is designed to capture the strong, volumetric oscillations of each bubble and the bubble-scattered acoustics. The dynamics of…

Fluid Dynamics · Physics 2018-06-12 Kazuki Maeda , Tim Colonius

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…

Fluid Dynamics · Physics 2020-12-08 Matthias Niethammer , Günter Brenn , Holger Marschall , Dieter Bothe

Turbulent flows laden with small bubbles are ubiquitous in many natural and industrial environments. From the point of view of numerical modeling, to be able to handle a very large number of small bubbles in direct numerical simulations,…

A numerical method is presented to simulate gas-liquid-solid flows with bubble-particle interaction, including particle collision, sliding, and attachment. Gas-liquid flows are simulated in an Eulerian framework using a volume-of-fluid…

Fluid Dynamics · Physics 2020-12-01 Hojun Moon , Jeongbo Shim , Donghyun You

We performed numerical simulations of a homogeneous swarm of bubbles rising at large Reynolds number, Re = 760 with volume fractions ranging from 1% to 10%. We consider a simplified model in which the interfaces are not resolved, but which…

Fluid Dynamics · Physics 2024-03-06 Rémi Zamansky , Florian Le Roy de Bonneville , Frederic Risso

In this paper, we address the challenge of accurately calculating droplet/bubble properties (e.g., volume, number) in diffuse-interface two-phase flow simulations. Currently, flood-fill algorithms can truncate a significant portion of the…

Computational Physics · Physics 2025-07-10 Pranav J. Nathan , Suhas S. Jain

In this paper, we present the results of a numerical study of air-water turbulent bubbly flow in a periodic vertical square duct. The study is conducted using a novel numerical technique which leverages Volume of Fluid method for interface…

Fluid Dynamics · Physics 2022-12-27 Purushotam Kumar , Surya Pratap Vanka

The dynamics of cavitation bubbles are important in many flows, but their small sizes and high number densities often preclude direct numerical simulation. We present a computational model that averages their effect on the flow over larger…

Fluid Dynamics · Physics 2023-01-24 Spencer H. Bryngelson , Rodney O. Fox , Tim Colonius

We consider the variational foam model, where the goal is to minimize the total surface area of a collection of bubbles subject to the constraint that the volume of each bubble is prescribed. We apply sharp interface methods to develop an…

Optimization and Control · Mathematics 2019-06-19 Dong Wang , Andrej Cherkaev , Braxton Osting

The numerical simulation of multiphase flows involving dispersed components with large scale disparities, such as the collisions between millimeter-sized bubbles and micron-sized mineral particles in flotation, poses a significant…

Fluid Dynamics · Physics 2026-05-21 Linfeng Jiang , Enrico Calzavarini , Dominik Krug

We present a particle method for estimating the curvature of interfaces in volume-of-fluid simulations of multiphase flows. The method is well suited for under-resolved interfaces, and it is shown to be more accurate than the parabolic…

Computational Physics · Physics 2020-01-23 Petr Karnakov , Sergey Litvinov , Petros Koumoutsakos

Bubbly flows, as present in bubble column reactors, can be simulated using a variety of simulation techniques. In order to gain high resolution CFD methods are used to simulate a pseudo 2D bubble column using EL and EE techniques. The…

Fluid Dynamics · Physics 2017-06-20 Andreas Weber , Hans-Jörg Bart

Fluid phase equilibria involving nano-dispersed phases, where at least one of the coexisting phases is confined to a small volume, are investigated by molecular dynamics simulation. Complementing previous studies on nanoscopic droplets,…

Mesoscale and Nanoscale Physics · Physics 2013-07-23 Martin Horsch , Hans Hasse

Liquid simulations for computer animation often avoid simulating the air phase to reduce computational costs and ensure good conditioning of the linear systems required to enforce incompressibility. However, this free surface assumption…

Graphics · Computer Science 2017-12-01 Ryan Goldade , Christopher Batty

This paper is the second of the series of two papers, which focuses on the derivation of an averaged 1D model for compressible bubbly flows. For this, we start from a microscopic description of the interactions between a large but finite…

Analysis of PDEs · Mathematics 2022-03-29 Matthieu Hillairet , Hélène Mathis , Nicolas Seguin

We investigate a two-dimensional network simulator that model the dynamics of two-phase immiscible bulk flow where film flow can be neglected. We present a method for simulating the detailed dynamical process where the two phases are…

Condensed Matter · Physics 2007-05-23 Henning Arendt Knudsen , Eyvind Aker , Alex Hansen

This paper presents the development of a density-based solver suitable for cavitating flows in the OpenFOAM framework. In this solver, the thermodynamic equilibrium mixture approach is adopted to model the presence of and the phase…

Fluid Dynamics · Physics 2020-09-11 M. H. Arabnejad , R. E. Bensow
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