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This work focuses on the development and analysis of a partitioned numerical method for moving domain, fluid-structure interaction problems. We model the fluid using incompressible Navier-Stokes equations, and the structure using linear…

Numerical Analysis · Mathematics 2020-07-03 Anyastassia Seboldt , Martina Bukač

We present a novel computational modeling framework to numerically investigate fluid-structure interaction in viscous fluids using the phase field embedding method. Each rigid body or elastic structure immersed in the incompressible viscous…

Fluid Dynamics · Physics 2021-09-16 Qi Hong , Qi Wang

We show how a complete mathematical description of a complicated physical phenomenon can be learned from observational data via a hybrid approach combining three simple and general ingredients: physical assumptions of smoothness, locality,…

In many occurrences of fluid-structure interaction time-periodic motions are observed. We consider the interaction between a fluid driven by the three dimensional Navier-Stokes equation and a two dimensional linearized elastic Koiter shell…

Analysis of PDEs · Mathematics 2024-01-31 Claudiu Mîndrilă , Sebastian Schwarzacher

We derive a homogenized macroscopic model for fluid flows over ordered homogeneous porous surfaces. The unconfined free-flow is described by the Navier-Stokes equation, and the Darcy equation governs the seepage flow within the porous…

Fluid Dynamics · Physics 2021-01-20 Y. Sudhakar , Ugis Lacis , Simon Pasche , Shervin Bagheri

Many vesicles have a spherical resting shape and exposure to fluid flows induces an exchange between sub-optical area and visible (systematic) deformation, while the total area is conserved. The dynamics which controls the exchange between…

Soft Condensed Matter · Physics 2020-06-19 Afsoun Rahnama Falavarjani , David Salac

We propose a method to stabilise a solution to equations describing the interface of thin liquid films falling under gravity with a finite number of actuators and restricted observations. As for many complex systems, full observation of the…

Optimization and Control · Mathematics 2024-07-10 Oscar A. Holroyd , Radu Cimpeanu , Susana N. Gomes

This paper is devoted to the numerical study of droplet impact on solid substrates in presence of surfactants. We formulate the problem in an energetically variational framework and introduce an incompressible Cahn-Hilliard-Navier-Stokes…

Fluid Dynamics · Physics 2022-12-20 Chenxi Wang , Ming-Chih Lai , Zhen Zhang

A coarse grained description of a two phase fluid is used to study the steady state configuration of the interface separating the coexisting phases, and the motion of the contact line at which the interface intersects a solid boundary. The…

Statistical Mechanics · Physics 2009-10-31 Hsuan-Yi Chen , David Jasnow , Jorge Vinals

Using Molecular Dynamics simulations of a polymer liquid flowing past flat and patterned surfaces, we investigate the influence of corrugation, wettability and pressure on slippage and friction at the solid-liquid interface. For…

Soft Condensed Matter · Physics 2013-02-22 Nikita Tretyakov , Marcus Müller

We study a fluid-structure interaction problem between a viscous incompressible fluid and an elastic beam with fixed endpoints in a static setting. The 3D fluid domain is bounded, nonsmooth and non simply connected, the fluid is modeled by…

Analysis of PDEs · Mathematics 2026-01-30 Vincenzo Bianca , Edoardo Bocchi , Filippo Gazzola

We present a new approach for the mechanically consistent modelling and simulation of fluid-structure interactions with contact. The fundamental idea consists of combining a relaxed contact formulation with the modelling of seepage through…

Numerical Analysis · Mathematics 2022-03-02 Erik Burman , Miguel A. Fernández , Stefan Frei , Fannie M. Gerosa

We study an interface-capturing two-phase fluid model in which the interfacial tension is modelled as a volumetric stress. Since these stresses are obtainable from a Van der Waals-Cahn-Hilliard free energy, the model is, to a certain…

comp-gas · Physics 2008-02-03 B. T. Nadiga , S. Zaleski

To study the dynamics of particles in turbulence when their sizes are comparable to the smallest eddies in the flow, the Kolmogorov length scale, efficient and accurate numerical models for the particle-fluid interaction are still missing.…

Fluid Dynamics · Physics 2018-02-28 Toshiaki Fukada , Walter Fornari , Luca Brandt , Shintaro Takeuchi , Takeo Kajishima

This paper presents a method for modelling interfacial mass transfer in Interface Capturing simulations of two-phase flow with phase change. The model enables mechanistic prediction of the local rate of phase change at the vapour-liquid…

Fluid Dynamics · Physics 2021-08-25 G. Giustini , R. I. Issa , M. J. Bluck

In Molecular Dynamics (MD) simulations, interactions between water molecules and graphitic surfaces are often modeled as a simple Lennard-Jones potential between oxygen and carbon atoms. A possible method for tuning this parameter consists…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Giulio Scocchi , Danilo Sergi , Claudio D'Angelo , Alberto Ortona

This paper presents a finite volume method for simulating two-phase flows using a level set approach coupled with volume of fluid method capable of simulating sharp fluid interfaces. The efficiency of the method is a result of the fact that…

Computational Physics · Physics 2022-07-20 Konstantinos G. Lyras , Jack Lee

We present a velocity-based Monte Carlo fluid solver that overcomes the limitations of its existing vorticity-based counterpart. Because the velocity-based formulation is more commonly used in graphics, our Monte Carlo solver can be readily…

Graphics · Computer Science 2024-05-01 Ryusuke Sugimoto , Christopher Batty , Toshiya Hachisuka

Continuum fluid dynamic models based on the Navier-Stokes equations have previously been used to simulate granular media undergoing fluid-like shearing. These models, however, typically fail to predict the flow behaviour in confined…

Fluid Dynamics · Physics 2024-03-05 Duncan Dockar , M. H. Lakshminarayana Reddy , Matthew K. Borg , S. Kokou Dadzie

We propose a new unfitted finite element method for simulation of two-phase flows in presence of insoluble surfactant. The key features of the method are 1) discrete conservation of surfactant mass; 2) the possibility of having meshes that…

Numerical Analysis · Mathematics 2022-11-30 Thomas Frachon , Sara Zahedi