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We systematically derived hydrodynamic equations and transport coefficients for a class of multi-speed lattice Boltzmann models in D dimensions, using the multi-scale technique. The constitutive relation of physical fluid is recovered by a…

comp-gas · Physics 2008-02-03 Yu Chen , Hirotada Ohashi , Mamoru Akiyama

We review the state of the art of active fluids with particular attention to hydrodynamic continuous models and to the use of Lattice Boltzmann Methods (LBM) in this field. We present the thermodynamics of active fluids, in terms of liquid…

Soft Condensed Matter · Physics 2019-10-07 Livio Nicola Carenza , Giuseppe Gonnella , Antonio Lamura , Giuseppe Negro , Adriano Tiribocchi

We propose a lattice Boltzmann color-gradient model for immiscible ternary fluid flows, which is applicable to the fluids with a full range of interfacial tensions, especially in near-critical and critical states. An interfacial force for…

Computational Physics · Physics 2018-08-28 Yuan Yu , Haihu Liu , Dong Liang , Yonghao Zhang

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

We develop a relativistic lattice Boltzmann model capable of describing relativistic fluid dynamics at ultra-high velocities, with Lorentz factors up to $\gamma \sim 10$. To this purpose, we first build a new lattice kinetic scheme by…

High Energy Astrophysical Phenomena · Physics 2015-06-12 F. Mohseni , M. Mendoza , S. Succi , H. J. Herrmann

We investigate two-fluid BGK kinetic methods for binary fluids. The developed theory works for asymmetric as well as symmetric systems. For symmetric systems it recovers Sirovich's theory and is summarized in models A and B. For asymmetric…

Soft Condensed Matter · Physics 2009-11-10 Aiguo Xu

We study an ad hoc extension of the Lattice-Boltzmann method that allows the simulation of non-Newtonian fluids described by generalized Newtonian models. We extensively test the accuracy of the method for the case of shear-thinning and…

Soft Condensed Matter · Physics 2015-06-25 Susana Gabbanelli , German Drazer , Joel Koplik

In this paper, a lattice Boltzmann (LB) model is presented for axisymmetric multiphase flows. Source terms are added to a two-dimensional standard lattice Boltzmann equation (LBE) for multiphase flows such that the emergent dynamics can be…

Fluid Dynamics · Physics 2009-11-11 Kannan N. Premnath , John Abraham

In this work we discuss the coupling of two mesoscopic approaches for fluid dynamics, namely the lattice Boltzmann method (LB) and the multiparticle collision dynamics (MPCD) \cite{kapral2008multiparticle} to design a new class of flexible…

Computational Physics · Physics 2020-04-02 Andrea Montessori , Adriano Tiribocchi , Marco Lauricella , Sauro Succi

Non-Newtonian fluids encompass a large family of fluids with additional nonlinear material properties, contributing to non-trivial flow behaviour that cannot be captured through a single constant viscosity term. Common non-Newtonian…

Fluid Dynamics · Physics 2026-01-14 Vedad Dzanic , Qiuxiang Huang , Christopher S. From , Emilie Sauret

In this paper, a novel lattice Boltzmann (LB) model based on the Allen-Cahn phase-field theory is proposed for simulating axisymmetric multiphase flows. The most striking feature of the model is that it enables to handle multiphase flows…

Computational Physics · Physics 2018-10-23 Hong Liang , Yang Li , Jiangxing Chen , Jiangrong Xu

Lattice Boltzmann simulations have been very successful in simulating liquid-gas and other multi-phase fluid systems. However, the underlying second order analysis of the equation of motion has long been known to be insufficient to…

Soft Condensed Matter · Physics 2009-11-11 A. J. Wagner

Lattice gas and lattice Boltzmann methods are recently developed numerical schemes for simulating a variety of physical systems. In this paper a new lattice Boltzmann model for modeling two-dimensional incompressible magnetohydrodynamics…

comp-gas · Physics 2009-10-22 Daniel Martinez , Shiyi Chen , William Matthaeus

By means of a three-dimensional amphiphilic lattice-Boltzmann model with short-range interactions for the description of ternary amphiphilic fluids, we study how the phase separation kinetics of a symmetric binary immiscible fluid is…

Soft Condensed Matter · Physics 2009-11-10 Nélido González-Segredo , Peter V. Coveney

Most biological fluids are viscoelastic, meaning that they have elastic properties in addition to the dissipative properties found in Newtonian fluids. Computational models can help us understand viscoelastic flow, but are often limited in…

Fluid Dynamics · Physics 2021-03-25 Michael Kuron , Cameron Stewart , Joost de Graaf , Christian Holm

We present a new hybrid lattice-Boltzmann and Langevin molecular dynamics scheme for simulating the dynamics of suspensions of spherical colloidal particles. The solvent is modeled on the level of the lattice-Boltzmann method while the…

Soft Condensed Matter · Physics 2007-06-20 Vladimir Lobaskin , Burkhard Duenweg

We propose a description for transient penetration simulations of miscible and immiscible fluid mixtures into anisotropic porous media, using the lattice Boltzmann (LB) method. Our model incorporates hydrodynamic flow, diffusion, surface…

Soft Condensed Matter · Physics 2010-11-22 M. Mendoza , F. K. Wittel , H. J. Herrmann

A new lattice Boltzmann model (LBM) is presented to describe chemically reacting multicomponent fluid flow in homogenised porous media. In this work, towards further generalizing the multicomponent reactive lattice Boltzmann model, we…

Fluid Dynamics · Physics 2024-09-06 Nilesh Sawant , Ilya Karlin

We study a model of self propelled particles exhibiting run and tumble dynamics on lattice. This non-Brownian diffusion is characterised by a random walk with a finite persistence length between changes of direction, and is inspired by the…

Statistical Mechanics · Physics 2015-03-17 A. G. Thompson , J. Tailleur , M. E. Cates , R. A. Blythe

Various experiments have found a boundary slip in hydrophobic microchannel flows, but a consistent understanding of the results is still lacking. While Molecular Dynamics (MD) simulations cannot reach the low shear rates and large system…

Fluid Dynamics · Physics 2007-05-23 Jens Harting , Christian Kunert , Hans J. Herrmann