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We study a nonlinear fluid-structure interaction problem in which the fluid is described by the three-dimensional incompressible Navier-Stokes equations, and the elastic structure is modeled by the nonlinear plate equation which includes a…

Analysis of PDEs · Mathematics 2019-06-05 Srđan Trifunović , Ya-Guang Wang

The accurate mathematical modeling of droplet impact dynamics on micro-structured surfaces is fundamental to understanding and predicting complex fluid behaviors relevant to a wide range of engineering and scientific applications. In…

Fluid Dynamics · Physics 2025-11-25 Zhonghua Qiao , Zuankai Wang , Yifan Wei

This study aims to investigate the behavior of multicomponent fluid flows consisting of Newtonian and non-Newtonian components, especially terminal velocity of a rising bubble in a power-law fluid. A recent lattice Boltzmann (LB) model is…

We present a thermodynamically consistent model of a ternary fluid interacting with elastic membranes. Following a free-energy modelling approach and taking into account the thermodynamics laws, we derive the equations governing the ternary…

Soft Condensed Matter · Physics 2021-02-17 Marianna Pepona , Alvin C. M. Shek , Ciro Semprebon , Timm Krüger , Halim Kusumaatmaja

This work uncovers the low-dimensional nature the complex dynamics of actuated separated flows. Namely, motivated by the problem of model-based predictive control of separated flows, we identify the requirements on a model-based observer…

Fluid Dynamics · Physics 2007-10-10 R. Krechetnikov , J. E. Marsden , H. M. Nagib

The spherical dynamics of a bubble in a compressible liquid has been studied extensively since the early work of Gilmore. Numerical codes to study the behavior, including when large non-spherical deformations are involved, have since been…

Fluid Dynamics · Physics 2015-03-17 Arvind Jayaprakash , Sowmitra Singh , Georges Chahine

The impact of a collapsing gas bubble above rigid, notched walls is considered. Such surface crevices and imperfections often function as bubble nucleation sites, and thus have a direct relation to cavitation-induced erosion and damage…

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

We report on the statistics of bubble size, topology, and shape and on their role in the coarsening dynamics for foams consisting of bubbles compressed between two parallel plates. The design of the sample cell permits control of the liquid…

Soft Condensed Matter · Physics 2013-04-16 A. E. Roth , C. D. Jones , D. J. Durian

The direct numerical simulation of particulate systems offers a unique approach to study the dynamics of fluid-solid suspensions by fully resolving the submerged particles and without introducing empirical models. For the lattice Boltzmann…

Computational Engineering, Finance, and Science · Computer Science 2017-06-06 Christoph Rettinger , Ulrich Rüde

The evolution of an initially prepared distribution of micron sized colloidal particles, trapped at a fluid interface and under the action of their mutual capillary attraction, is analyzed by using Brownian dynamics simulations. At a…

Soft Condensed Matter · Physics 2011-11-29 J. Bleibel , A. Dominguez , M. Oettel , S. Dietrich

In this paper we study the problem of the global existence (in time) of weak, entropic solutions to a system of three hyperbolic conservation laws, in one space dimension, for large initial data. The system models the dynamics of phase…

Analysis of PDEs · Mathematics 2015-09-10 Debora Amadori , Paolo Baiti , Andrea Corli , Edda Dal Santo

Segmenting gas bubbles in multiphase flows is a critical yet unsolved challenge in numerous industrial settings, from metallurgical processing to maritime drag reduction. Traditional approaches-and most recent learning-based methods-assume…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Semanur Küçük , Cosimo Della Santina , Angeliki Laskari

In this paper, we present a theoretical, experimental, and numerical study of the dynamics of cavitation bubbles inside a droplet suspended in another host fluid. On the theoretical side, we provided a modified Rayleigh collapse time and…

Fluid Dynamics · Physics 2024-01-02 Shuai Li , Zhesheng Zhao , A-Man Zhang , Rui Han

Explicit simulations of fluid mixtures of highly size-dispersed particles are constrained by numerical challenges associated with identifying pair-interaction neighbors. Recent algorithmic developments have ameliorated these difficulties to…

Soft Condensed Matter · Physics 2022-12-07 Joseph M. Monti , Gary S. Grest

An analytical description of the interface motion of a collapsing nanometer-sized spherical cavity in water is presented by a modification of the Rayleigh-Plesset equation in conjunction with explicit solvent molecular dynamics simulations.…

Soft Condensed Matter · Physics 2009-11-13 Joachim Dzubiella

We study the dynamical evolution of a phase interface or bubble in the context of a \lambda \phi^4 + g \phi^6 scalar quantum field theory. We use a self-consistent mean-field approximation derived from a 2PI effective action to construct an…

High Energy Physics - Phenomenology · Physics 2014-11-17 Y. Bergner , Luis M. A. Bettencourt

We provide a rigorous mathematical analysis of a coupled system consisting of a floating platform in a fluid of finite depth, clamped to a flexible Euler-Bernoulli beam. The superstructure supports a rigid tip mass at its free end,…

Analysis of PDEs · Mathematics 2026-03-16 Vicente Ocqueteau

We present an analysis of the Rayleigh-Plesset equation for a three dimensional vacuous bubble in water. In the simplest case when the effects of surface tension are neglected, the known parametric solutions for the radius and time…

Fluid Dynamics · Physics 2017-11-10 S. C. Mancas , H. C. Rosu

A framework for deriving probabilistic data-driven closure models is proposed for coarse-grained numerical simulations of turbulence in statistically stationary state. The approach unites the ideal large-eddy simulation model and data…

Fluid Dynamics · Physics 2025-03-25 Sagy Ephrati