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The rheology of a dilute binary mixture of inertial suspension under simple shear flow is analyzed in the context of the Boltzmann kinetic equation. The effect of the surrounding viscous gas on the solid particles is accounted for by means…

Soft Condensed Matter · Physics 2023-11-27 Satoshi Takada , Hisao Hayakawa , Vicente Garzó

This paper presents a spatially and temporally adaptive boundary condition to specify the volumetric flux for lattice Boltzmann methods. The approach differs from standard velocity boundary conditions because it allows the velocity to vary…

Computational Physics · Physics 2018-06-28 James E. McClure , Zhe Li , Adrian P. Sheppard , Cass T. Miller

Lattice Boltzmann model for viscoelastic flow simulation is proposed; elastic effects are taken into account in the framework of Maxwell model. The following three examples are studied using the proposed approach: a transverse velocity…

Materials Science · Physics 2009-11-07 Iaroslav Ispolatov , Martin Grant

The implementation of boundary conditions is among the most challenging parts of modeling fluid flow through channels and complex media. Here, we show that the existing methods to deal with liquid-wall interactions using multicomponent…

Computational Physics · Physics 2021-05-19 Rodrigo C. V. Coelho , Catarina B. Moura , Margarida M. Telo da Gama , Nuno A. M. Araújo

We investigate spinodal decomposition and structuring effects in binary immiscible and ternary amphiphilic fluid mixtures under shear by means of three dimensional lattice Boltzmann simulations. We show that the growth of individual fluid…

Soft Condensed Matter · Physics 2007-05-23 Jens Harting , Giovanni Giupponi , Peter V. Coveney

The movement of subaqueous sediment in laminar shearing flow is numerically investigated by the coupled lattice Boltzmann and discrete element methods. First, the numerical method is validated by comparing the phase diagram proposed by…

Fluid Dynamics · Physics 2022-06-09 Duo Wang

Symmetric binary fluids, quenched into a regime of immiscibility, undergo phase separation by spinodal decomposition. In the late stages, the fluids are separated by sharply defined, but curved, interfaces: the resulting Laplace pressure…

Condensed Matter · Physics 2007-05-23 M. E. Cates , V. M. Kendon , P. Bladon , J-C. Desplat

We develop and implement a novel lattice Boltzmann scheme to study multicomponent flows on curved surfaces, coupling the continuity and Navier-Stokes equations with the Cahn-Hilliard equation to track the evolution of the binary fluid…

Computational Physics · Physics 2019-12-25 Victor E. Ambruş , Sergiu Busuioc , Alexander J. Wagner , Fabien Paillusson , Halim Kusumaatmaja

We use a lattice Boltzmann (LB) kinetic scheme for modelling amphiphilic fluids that correctly predicts rheological effects in flow. No macroscopic parameters are included in the model. Instead, three-dimensional hydrodynamic and…

Soft Condensed Matter · Physics 2007-05-23 G. Giupponi , J. Harting , P. V. Coveney

We study numerically phase separation in a binary fluid subject to an applied shear flow in two dimensions, with full hydrodynamics. To do so, we introduce a mixed finite-differencing/spectral simulation technique, with a transformation to…

Statistical Mechanics · Physics 2009-11-13 Suzanne M. Fielding

We describe some scaling issues that arise when using lattice Boltzmann methods to simulate binary fluid mixtures -- both in the presence and in the absence of colloidal particles. Two types of scaling problem arise: physical and…

Soft Condensed Matter · Physics 2009-11-10 M. E. Cates , J. -C. Desplat , P. Stansell , A. J. Wagner , K. Stratford , R. Adhikari , I. Pagonabarraga

We present a systematic study of capillary filling for a binary fluid by using mesoscopic a lattice Boltzmann model describing a diffusive interface moving at a given contact angle with respect to the walls. We compare the numerical results…

Cellular Automata and Lattice Gases · Physics 2008-01-29 S. Chibbaro , L. Biferale , F. Diotallevi , S. Succi

The Boltzmann equation for inelastic Maxwell models is considered to determine the rheological properties in a granular binary mixture in the simple shear flow state. The transport coefficients (shear viscosity and viscometric functions)…

Statistical Mechanics · Physics 2010-12-22 Vicente Garzo , Emmanuel Trizac

We study droplet dynamics and breakup in generic time-dependent flows via a multicomponent Lattice Boltzmann algorithm, with emphasis on flow start up conditions. We first study droplet breakup in a confined oscillatory shear flow via two…

Fluid Dynamics · Physics 2020-03-18 Felix Milan , Luca Biferale , Mauro Sbragaglia , Federico Toschi

One of the limitations of the Lattice Boltzmann Method in simulating inertial flows is the coupling of the discretization of space to the velocity discretization. It requires an increase of the size of computational lattices in order to…

Fluid Dynamics · Physics 2024-09-25 Dawid Strzelczyk , Maciej Matyka

The Boltzmann equation for inelastic Maxwell models is considered to determine the velocity moments through fourth degree in the simple shear flow state. First, the rheological properties (which are related to the second-degree velocity…

Soft Condensed Matter · Physics 2011-11-10 Andres Santos , Vicente Garzo

The hydrodynamic effects on the late stage kinetics in spinodal decomposition of multicomponent fluids are examined using a lattice Boltzmann scheme with stochastic fluctuations in the fluid and at the interface. In two dimensions, the…

comp-gas · Physics 2009-10-22 Shiyi Chen , Turab Lookman

Based on Sirovich's two-fluid kinetic theory and a dodecagonal discrete velocity model, a two-dimensional 61-velocity finite-difference lattice Boltzmann method for the complete Navier-Stokes equations of binary fluids is formulated.…

Statistical Mechanics · Physics 2009-11-10 Aiguo Xu

We consider the phase separation of binary fluids in contact with a surface which is preferentially wetted by one of the components of the mixture. We review the results available for this problem and present new numerical results obtained…

Statistical Mechanics · Physics 2007-05-23 Sorin Bastea , Sanjay Puri , Joel L. Lebowitz

We present a lattice-based numerical method to describe the non equilibrium behavior of a simple fluid under non-uniform spatial conditions. The evolution equation for the one-particle phase-space distribution function is derived starting…

Statistical Mechanics · Physics 2009-11-13 S. Melchionna , U. Marini Bettolo Marconi