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A lattice Boltzmann method (LBM) approach to the Charney-Hasegawa-Mima (CHM) model for adiabatic drift wave turbulence in magnetised plasmas, is implemented. The CHM-LBM model contains a barotropic equation of state for the potential, a…

等离子体物理 · 物理学 2021-09-28 M. Held , A. Kendl

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…

In this paper, we extend a lattice Boltzmann equation (LBE) with continuous surface fore (CSF) to simulate thermocapillary flows. The model is designed on our previous CSF LBE for athermal two phase flow, in which the interfacial tension…

计算物理 · 物理学 2014-12-22 Lin Zheng , Song Zheng , Qinglan Zhai

A lattice-Boltzmann model for the study of the dynamics of oil-water-surfactant mixtures is constructed. The model, which is based on a Ginzburg-Landau theory of amphiphilic systems with a single, scalar order parameter, is then used to…

软凝聚态物质 · 物理学 2009-10-31 O. Theissen , G. Gompper , D. M. Kroll

The leaky dielectric model is widely used in simulating two-phase electrohydrodynamic (EHD) flows. One critical issue with this classical model is the assumption of Ohmic conduction, which makes it inadequate for describing the newly…

流体动力学 · 物理学 2025-01-10 Mingzhen Zheng , Lei Wang , Fang Xiong , Jiangxu Huang , Kang Luo

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…

软凝聚态物质 · 物理学 2010-11-22 M. Mendoza , F. K. Wittel , H. J. Herrmann

A three-dimensional color-fluid lattice Boltzmann model for immiscible two-phase flows is developed in the framework of a three-dimensional 27-velocity (D3Q27) lattice. The collision operator comprises the D3Q27 versions of three…

流体动力学 · 物理学 2017-08-02 Shimpei Saito , Yutaka Abe , Kazuya Koyama

By means of the multicomponent Shan-Chen lattice Boltzmann method (LBM), we investigate the multiphase flow through porous media. Despite the excellent accuracy of the LBM, large domains result in unaffordable computational expenses. The…

计算物理 · 物理学 2019-06-12 Eduard Puig Montellà , Chao Yuan , Bruno Chareyre , Antonio Gens

It is proposed a dimensional Lattice Boltzmann Method (LBM) of wide application for simulating fluid flow and heat transfer problems. The proposed LBM consists in the numerical solution of the discrete lattice Boltzmann equation (LBE) using…

流体动力学 · 物理学 2024-05-14 Ivan Talão Martins , Pablo Fariñas Alvariño , Luben Cabezas-Gómez

In this paper, we provide a systematic analysis of some finite volume lattice Boltzmann schemes in two dimensions. A complete iteration cycle in time evolution of discretized distribution functions is formally divided into collision and…

流体动力学 · 物理学 2014-07-22 Nima H. Siboni , Dierk Raabe , Fathollah Varnik

The pseudopotential lattice Boltzmann method (LBM) is a prominent approach for simulating multiphase flows, valued for its physical intuitiveness and computational tractability. However, existing immiscible pseudopotential methods for…

流体动力学 · 物理学 2026-03-02 Yizhong Chen , Zhibin Wang

We derive the partial differential equation (PDE) to which the pseudo-potential lattice Boltzmann method (P-LBM) converges under diffusive scaling, providing a rigorous basis for its consistency analysis. By establishing a direct link…

流体动力学 · 物理学 2025-04-22 Luiz Eduardo Czelusniak , Tim Niklas Bingert , Mathias J. Krause , Stephan Simonis

We describe a lattice Boltzmann algorithm to simulate liquid crystal hydrodynamics in three dimensions. The equations of motion are written in terms of a tensor order parameter. This allows both the isotropic and the nematic phases to be…

统计力学 · 物理学 2007-05-23 C. Denniston , D. Marenduzzo , E. Orlandini , J. M. Yeomans

We describe a lattice Boltzmann algorithm to simulate liquid crystal hydrodynamics. The equations of motion are written in terms of a tensor order parameter. This allows both the isotropic and the nematic phases to be considered. Backflow…

软凝聚态物质 · 物理学 2009-10-31 Colin Denniston , Enzo Orlandini , J. M. Yeomans

A multicomponent extension of our recent theory of simple fluids [ U.M.B. Marconi and S. Melchionna, Journal of Chemical Physics, 131, 014105 (2009) ] is proposed to describe miscible and immiscible liquid mixtures under inhomogeneous, non…

统计力学 · 物理学 2011-02-11 Umberto Marini Bettolo Marconi , Simone Melchionna

The free energy model can extend the Lattice Boltzmann method to multiphase systems. However, there is a lack of models capable of simulating multicomponent multiphase fluids with partial miscibility. In addition, existing models cannot be…

流体动力学 · 物理学 2023-01-19 Muzammil Soomro , Luis F. Ayala , Cheng Peng , Orlando M. Ayala

A recently introduced family of lattice Boltzmann (LB) models (Karlin, B\"osch, Chikatamarla, Phys. Rev. E, 2014) is studied in detail for incompressible two-dimensional flows. A framework for developing LB models based on entropy…

流体动力学 · 物理学 2015-07-10 Fabian Bösch , Shyam S. Chikatamarla , Ilya Karlin

A general lattice Boltzmann method for simulation of fluids with tailored transport coefficients is presented. It is based on the recently introduced quasi-equilibrium kinetic models, and a general lattice Boltzmann implementation is…

统计力学 · 物理学 2007-05-23 S. Ansumali , S. Arcidiacono , S. Chikatamarla , N. I. Prasianakis , A. N. Gorban , I. V. Karlin

In this paper, a fractional step lattice Boltzmann method is proposed to model two-phase flows with large density differences by solving Cahn-Hilliard phase-field equation and the incompressible Navier-Stokes equations.In order to maintain…

流体动力学 · 物理学 2018-12-07 Chunhua Zhang , Zhaoli Guo , Yibao Li

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…

软凝聚态物质 · 物理学 2007-05-23 G. Giupponi , J. Harting , P. V. Coveney