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This work introduces CLIP, a CUDA-accelerated phase-field lattice Boltzmann framework for simulating immiscible two-phase flows with high density and viscosity ratios in both two- and three-dimensional domains. By leveraging GPU…

Fluid Dynamics · Physics 2025-05-20 Mehdi Shadkhah , Mohammad Taeibi Rahni , Azadeh Kebriaee , Mohammad Reza Salimi

The dynamic of contact formation between soft materials immersed in a fluid is accompanied by fluid drainage and elastic deformation. As a result, controlling the coupling between lubrication pressure and elasticity provides strategies to…

Soft Condensed Matter · Physics 2018-10-01 Yumo Wang , Joelle Frechette

We consider a fluid-structure interaction problem in the Eulerian, phase-field formulation. The problem is described using the Navier--Stokes equations for a viscous, incompressible fluid, coupled with the incompressible hyperelasticity…

Numerical Analysis · Mathematics 2026-03-30 Francis R. A. Aznaran , Martina Bukač , Boris Muha

We introduce a novel approach to simulate the interaction between fluids and thin elastic solids without any penetration. Our approach is centered around an optimization system augmented with barriers, which aims to find a configuration…

Graphics · Computer Science 2026-05-04 Yuchen Sun , Jinyuan Liu , Yin Yang , Chenfanfu Jiang , Minchen Li , Bo Zhu

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

A new scheme that tightly couples kinetic turbulence codes across a spatial interface is introduced. This scheme evolves from considerations of competing strategies and down-selection. It is found that the use of a composite kinetic…

The handling of topology changes in two-phase flows, such as breakup or coalescence of interfaces, with front tracking is a well-known problem that requires an additional effort to perform explicit manipulations of the Lagrangian front. In…

Fluid Dynamics · Physics 2025-09-04 Gabriele Gennari , Christian Gorges , Fabian Denner , Berend van Wachem

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 present a monolithic approach to large-deformation fluid-structure interaction (FSI) problems that allows for choosing fully implicit, single-step and single-stage time integration schemes in the structure and fluid field independently,…

Numerical Analysis · Mathematics 2023-08-25 Matthias Mayr , Thomas Klöppel , Wolfgang A. Wall , Michael W. Gee

We study numerically how multiple deformable capsules squeeze into a constriction. This situation is largely encountered in microfluidic chips designed to manipulate living cells, which are soft entities. We use fully three-dimensional…

Soft Condensed Matter · Physics 2021-12-15 Clément Bielinski , Othmane Aouane , Jens Harting , Badr Kaoui

Two-phase flow of two Newtonian incompressible viscous fluids with a soluble surfactant and different densities of the fluids can be modeled within the diffuse interface approach. We consider a Navier-Stokes/Cahn-Hilliard type system…

Analysis of PDEs · Mathematics 2017-10-10 Helmut Abels , Harald Garcke , Josef Weber

This paper presents a novel sharp front-tracking method designed to address limitations in classical front-tracking approaches, specifically their reliance on smooth interpolation kernels and extended stencils for coupling the front and…

Fluid Dynamics · Physics 2025-05-13 Christian Gorges , Fabien Evrard , Robert Chiodi , Berend van Wachem , Fabian Denner

We prove existence of weak solutions for a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain in two and three space dimensions. In contrast to previous works, we study a new model…

Analysis of PDEs · Mathematics 2015-06-03 Helmut Abels , Daniel Depner , Harald Garcke

Liquid-liquid wetting failure is investigated in a two-dimensional Couette system with two immiscible fluids of arbitrary viscosity. The problem is solved exactly using a sharp interface treatment of hydrodynamics (lubrication theory) as a…

Fluid Dynamics · Physics 2009-11-13 M. Sbragaglia , K. Sugiyama , L. Biferale

In this paper, we present an Eulerian-Lagrangian methodology to simulate the interaction between a fluid-fluid interface and a solid particle in the presence of wetting effects. The target physical problem is represented by ternary phase…

Fluid Dynamics · Physics 2023-09-21 Fernando Kevin Miranda S. Cruz , Cristian Marchioli

One of the key choices for numerical models of geophysical fluids is how parametrisations of physical processes interact with the numerical methods that handle the resolved flow, known in the atmospheric community as the dynamical core. As…

Numerical Analysis · Mathematics 2026-05-05 Nell Hartney , Thomas M. Bendall , Jemma Shipton

We consider a simple nonlinear hyperbolic system modeling the flow of an inviscid fluid. The model includes as state variable the mass density fraction of the vapor in the fluid and then phase transitions can be taken into consideration;…

Analysis of PDEs · Mathematics 2014-08-27 Debora Amadori , Paolo Baiti , Andrea Corli , Edda Dal Santo

A solid-liquid-gas moving contact line is considered through a diffuse-interface model with the classical boundary condition of no-slip at the solid surface. Examination of the asymptotic behaviour as the contact line is approached shows…

Fluid Dynamics · Physics 2013-10-07 David N. Sibley , Andreas Nold , Nikos Savva , Serafim Kalliadasis

We present a unified variational mechanics framework for cavitating turbulent flows and structural motions via a stabilized finite element formulation. To model the finite mass transfer rate in cavitation phenomena, we employ the homogenous…

Fluid Dynamics · Physics 2021-02-22 Suraj R. Kashyap , Rajeev K. Jaiman

In the finite element analysis with fast decoupled time integration scheme for viscoelastic fluid (the Leonov model) flow, we investigate strong nonlinear behavior in 2D creeping contraction flow. The algorithm is applicable in the whole…

Fluid Dynamics · Physics 2011-11-02 Youngdon Kwon
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