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We apply lattice Boltzmann method to study the phase separation of a two-dimensional binary fluid mixture in shear flow. The algorithm can simulate systems described by the Navier-Stokes and convection-diffusion equations. We propose a new…

Condensed Matter · Physics 2009-10-31 A. Lamura , G. Gonnella

In this paper, we develop a three-dimensional multiple-relaxation-time lattice Boltzmann method (MRT-LBM) based on a set of non-orthogonal basis vectors. Compared with the classical MRT-LBM based on a set of orthogonal basis vectors, the…

Fluid Dynamics · Physics 2023-06-29 Linlin Fei , Jingyu Du , Kai H. Luo , Sauro Succi , Marco Lauricella , Andrea Montessori , Qian Wang

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

The Lattice Boltzmann Method (LBM) has emerged as a powerful tool in computational fluid dynamics and material science. However, standard LBM formulation imposes some limitations on the applications of the method, particularly compressible…

Soft Condensed Matter · Physics 2025-03-14 Navid Afrasiabian , Colin Denniston

A new lattice Boltzmann model for multicomponent ideal gas mixtures is presented. The model development consists of two parts. First, a new kinetic model for Stefan- Maxwell diffusion amongst the species is proposed and realized as a…

Fluid Dynamics · Physics 2020-12-23 N. Sawant , B. Dorschner , I. V. Karlin

A new multiple-relaxation-time lattice Boltzmann scheme for compressible flows with arbitrary specific heat ratio and Prandtl number is presented. In the new scheme, which is based on a two-dimensional 16-discrete-velocity model, the moment…

Soft Condensed Matter · Physics 2015-05-18 Feng Chen , Aiguo Xu , Guangcai Zhang , Yingjun Li , Sauro Succi

This paper deals with the investigation of flow field due to clap and fling mechanism using immersed boundary coupled with lattice Boltzmann method. The lattice Boltzmann method (LBM), an alternative to Navier Stokes solver, is used because…

Fluid Dynamics · Physics 2021-02-03 Pradeep Kumar S , Ashoke De , Debopam Das

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

In this paper, a wetting boundary scheme used to describe the interactions among ternary fluids and solid is proposed in the framework of the lattice Boltzmann method. This scheme for three-phase fluids can preserve the reduction…

Computational Physics · Physics 2017-10-27 Hong Liang , Jiangrong Xu , Jiangxing Chen , Zhenhua Chai , Baochang Shi

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

Turbulent compressible flows are traditionally simulated using explicit time integrators applied to discretized versions of the Navier-Stokes equations. However, the associated Courant-Friedrichs-Lewy condition severely restricts the…

Computational Physics · Physics 2021-08-11 Dominik Wilde , Andreas Krämer , Dirk Reith , Holger Foysi

The one-dimensional nonlinear equations for the blood flow motion in distensible vessels are considered using the kinetic approach. It is shown that the Lattice Boltzmann (LB) model for non-ideal gas is asymptotically equivalent to the…

Computational Physics · Physics 2020-02-26 Oleg Ilyin

We present recent developments in lattice Boltzmann modeling for multi-component flows, implemented on the platform of a general purpose, arbitrary geometry solver PowerFLOW. Presented benchmark cases demonstrate the method's accuracy and…

Fluid Dynamics · Physics 2016-01-07 Hiroshi Otomo , Hongli Fan , Yong Li , Marco Dressler , Ilya Staroselsky , Raoyang Zhang , Hudong Chen

The lattice Boltzmann equation (LBE), rooted in kinetic theory, provides a powerful framework for capturing complex flow behaviour by describing the evolution of single-particle distribution functions (PDFs). Despite its success, solving…

The traffic modelling often keeps the mesoscopic scale in the theoretical sphere because the integro-differential nature of its equations. In the present work we suggest to use the lattice Boltzmann method to overcome these difficulties. In…

Physics and Society · Physics 2018-10-01 Romain Noël , Laurent Navarro , Guy Courbebaisse

A systematic study for a single-specie lattice Boltzmann model with frustrated-short range attractive and mid/long-range repulsive-interactions is presented. The equilibrium analysis is performed along the guidelines proposed by [X. Shan,…

Soft Condensed Matter · Physics 2014-02-26 M. Sbragaglia , R. Benzi , M. Bernaschi S. Succi

We propose an enhanced wall-boundary treatment for the lattice Boltzmann method (LBM), designed for high-Reynolds-number turbulent flows on adaptively refined Cartesian grids. The method improves the slip-velocity bounce-back scheme by…

Fluid Dynamics · Physics 2026-01-27 Jorge Ponsin , Carlos Lozano

In this paper, a finite volume lattice Boltzmann method (FVLBM) based on cell-center unstructured girds is presented and full studied to simulate the incompressible laminar flows, which is simple modified from the cell-vertex unstructured…

Computational Physics · Physics 2018-12-04 Yong Wang , Chengwen Zhong , Jun Cao , Congshan Zhuo

We develop a multicomponent lattice Boltzmann (LB) model for the 2D Rayleigh--Taylor turbulence with a Shan-Chen pseudopotential implemented on GPUs. In the immiscible case this method is able to accurately overcome the inherent numerical…

Fluid Dynamics · Physics 2021-12-13 Hugo S. Tavares , Luca Biferale , Mauro Sbragaglia , Alexei A. Mailybaev

Minimal Boltzmann kinetic models, such as lattice Boltzmann, are often used as an alternative to the discretization of the Navier-Stokes equations for hydrodynamic simulations. Recently, it was argued that modeling sub-grid scale phenomena…