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We present a hybrid lattice Boltzmann algorithm for the simulation of flow glass-forming fluids, characterized by slow structural relaxation, at the level of the Navier-Stokes equation. The fluid is described in terms of a nonlinear…

Soft Condensed Matter · Physics 2015-04-24 S. Papenkort , Th. Voigtmann

In this work, a ternary phase-field model for two-phase flows in complex geometries is proposed. In this model, one of the three components in the classical ternary Cahn-Hilliard model is considered as the solid phase, and only one…

Fluid Dynamics · Physics 2024-07-04 Chengjie Zhan , Zhenhua Chai , Baochang Shi

We address a free boundary model for the compressible Euler equations where the free boundary, which is elastic, evolves according to a weakly damped fourth order hyperbolic equation forced by the fluid pressure. This system captures the…

Analysis of PDEs · Mathematics 2023-11-16 Igor Kukavica , Šárka Nečasová , Amjad Tuffaha

In this paper, we study a nonlinear interaction problem between a thermoelastic shell and a heat-conducting fluid. The shell is governed by linear thermoelasticity equations and encompasses a time-dependent domain which is filled with a…

Analysis of PDEs · Mathematics 2022-03-01 Václav Mácha , Boris Muha , Šárka Nečasová , Arnab Roy , Srđan Trifunović

A volume-filtered Euler-Lagrange large eddy simulation methodology is used to predict the physics of turbulent liquid-solid slurry flow through a horizontal pipe. A dynamic Smagorinsky model based on Lagrangian averaging is employed to…

Fluid Dynamics · Physics 2014-12-03 Sunil K. Arolla , Olivier Desjardins

This paper describes a novel numerical model aiming at solving moving-boundary problems such as free-surface flows or fluid-structure interaction. This model uses a moving-grid technique to solve the Navier--Stokes equations expressed in…

Computational Engineering, Finance, and Science · Computer Science 2022-09-29 Nicolas Bodard , Roland Bouffanais , Michel O. Deville

A new lattice Boltzmann method for simulating multiphase flows is developed theoretically. The method is adjusted such that its continuum limit is the Navier-Stokes equation, with a driving force derived from the Cahn-Hilliard free energy.…

Statistical Mechanics · Physics 2014-09-25 Jasna Zelko , Burkhard Duenweg

Grid based fluid simulation methods are not able to monolithically capture complex non-linear dynamics like the rupture of a dynamic liquid bridge between freely colliding solids, an exemplary scenario of capillary forces competing with…

Computational Physics · Physics 2017-06-06 Prapanch Nair , Thorsten Poeschel

We propose a kinetic framework for single-component non-ideal isothermal flows. Starting from a kinetic model for a non-ideal fluid, we show that under conventional scaling the Navier-Stokes equations with a non-ideal equation of state are…

Fluid Dynamics · Physics 2022-12-14 S. A. Hosseini , B. Dorschner , I. V. Karlin

A rigid object moving in a viscous fluid and in close proximity with an elastic wall experiences self-generated elastohydrodynamic interactions. This has been the subject of an intense research activity, with a recent and growing attention…

Soft Condensed Matter · Physics 2023-07-04 Aditya Jha , Yacine Amarouchene , Thomas Salez

The motion of ionic solutes and charged particles under the influence of an electric field and the ensuing hydrodynamic flow of the underlying solvent is ubiquitous in aqueous colloidal suspensions. The physics of such systems is described…

We investigate the occurrence of waterlike thermodynamic and dynamic anomalous behavior in a one dimensional lattice gas model. The system thermodynamics is obtained using the transfer matrix technique and anomalies on density and…

Soft Condensed Matter · Physics 2015-03-11 Marco Aurélio A. Barbosa , Fernando Vito Barbosa , Fernando Albuquerque de Oliveira

We study the deformation and dynamics of droplets in time-dependent flows using 3D numerical simulations of two immiscible fluids based on the lattice Boltzmann model (LBM). Analytical models are available in the literature, which assume…

Fluid Dynamics · Physics 2018-01-17 F. Milan , M. Sbragaglia , L. Biferale , F. Toschi

We report a hybrid numerical method for the solution of the model H fluctuating hydrodynamic equations for binary mixtures. The momentum conservation equations with Landau-Lifshitz stresses are solved using the fluctuating lattice Boltzmann…

Statistical Mechanics · Physics 2011-10-27 P. T. Sumesh , Ignacio Pagonabarraga , Ronojoy Adhikari

In this paper we study the dynamics of an incompressible viscous fluid evolving in an open-top container in two dimensions. The fluid mechanics are dictated by the Navier-Stokes equations. The upper boundary of the fluid is free and evolves…

Analysis of PDEs · Mathematics 2020-10-30 Yan Guo , Ian Tice

For the first time, the development of the nonlinear geometrically exact governing equations and corresponding boundary conditions of hanging cantilevered flexible pipes conveying fluid in the framework of the quaternion system is…

Fluid Dynamics · Physics 2024-06-13 Amir Mehdi Dehrouyeh-Semnani

We present a fully-integrated lattice Boltzmann (LB) method for fluid--structure interaction (FSI) simulations that efficiently models deformable solids in complex suspensions and active systems. Our Eulerian method (LBRMT) couples…

Fluid Dynamics · Physics 2024-02-21 Yue Sun , Chris H. Rycroft

Open problems in fluid dynamics, such as the existence of finite-time singularities (blowup), explanation of intermittency in developed turbulence, etc., are related to multi-scale structure and symmetries of underlying equations of motion.…

Fluid Dynamics · Physics 2021-08-11 Ciro S. Campolina , Alexei A. Mailybaev

In this paper, we present a rigorous derivation of a new kinetic equation describing the limiting behavior of a classical system of particles with three particle elastic instantaneous interactions, which are modeled using a non-symmetric…

Analysis of PDEs · Mathematics 2022-03-01 Ioakeim Ampatzoglou , Natasa Pavlovic

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…