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Over the last decade, the Lattice Boltzmann method has found major scope for the simulation of a large spectrum of problems in soft matter, from multiphase and multi-component microfluidic flows, to foams, emulsions, colloidal flows, to…

Soft Condensed Matter · Physics 2024-11-25 A. Tiribocchi , M. Durve , M. Lauricella , A. Montessori , J. M. Tucny , S. Succi

The recent development of the lattice gas automata method and its extension to the lattice Boltzmann method have provided new computational schemes for solving a variety of partial differential equations and modeling chemically reacting…

comp-gas · Physics 2008-02-03 S. Chen , S. P. Dawson , G. D. Doolen , D. R. Janecky , A. Lawniczak

In this paper, a thermal cascaded lattice Boltzmann method (TCLBM) is developed in combination with the double-distribution-function (DDF) approach. A density distribution function relaxed by the cascaded scheme is employed to solve the…

Computational Physics · Physics 2016-10-25 Linlin Fei , K. H. Luo

In this paper, we present a simple and accurate lattice Boltzmann (LB) model for immiscible two-phase flows, which is able to deal with large density contrasts. This model utilizes two LB equations, one of which is used to solve the…

Computational Physics · Physics 2018-09-12 Hong Liang , Jiangrong Xu , Jiangxing Chen , Huili Wang , Zhenhua Chai , Baochang Shi

The lattice Boltzmann (LB) equation with a third-order scheme can be regarded as a unified and self-consistent framework of the pseudopotential LB model for multiphase flows. In this work, we theoretically analyze pseudopotential LB…

Fluid Dynamics · Physics 2026-04-16 Rongzong Huang , Jiayi Huang , Qing Li

Multiphase flows frequently occur in many important engineering and scientific applications, but modeling of such flows is a rather challenging task due to complex interfacial dynamics between different phases, let alone if the flow is…

Computational Physics · Physics 2018-03-06 Wandong Zhao , Ben Xu , Ying Zhang

Lattice Boltzmann method (LBM) simulations of incompressible flows are nowadays common and well-established. However, for compressible turbulent flows with strong variable density and intrinsic compressibility effects, results are…

Fluid Dynamics · Physics 2024-12-13 Philipp Spelten , Dominik Wilde , Mario Christopher Bedrunka , Dirk Reith , Holger Foysi

Adaptive lattice Boltzmann methods (LBMs) are based on velocity discretizations that self-adjust to local macroscopic conditions such as velocity and temperature. While this feature improves the accuracy and the stability of LBMs for large…

Computational Physics · Physics 2020-11-04 C. Coreixas , J. Latt

We present a multi-scale lattice Boltzmann scheme, which adaptively refines particles' velocity space. Different velocity sets, i.e., higher- and lower-order lattices, are consistently and efficiently coupled, allowing us to use the…

Fluid Dynamics · Physics 2021-06-16 N. G. Kallikounis , B. Dorschner , 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…

Fluid Dynamics · Physics 2018-12-07 Chunhua Zhang , Zhaoli Guo , Yibao Li

A hybrid computational method coupling the lattice-Boltzmann (LB) method and a Langevin-dynamics (LD) method is developed to simulate nanoscale particle and polymer (NPP) suspensions in the presence of both thermal fluctuation and…

A D2Q9 Hybrid Lattice Boltzmann Method (HLBM) is proposed for the simulation of both compressible subsonic and supersonic flows. This HLBM is an extension of the model of Feng et al: [12], which has been found, via different test cases, to…

Fluid Dynamics · Physics 2020-11-05 Florian Renard , Yongliang Feng , Jean-François Boussuge , Pierre Sagaut

This study compares the free-surface lattice Boltzmann method (FSLBM) with the conservative Allen-Cahn phase-field lattice Boltzmann method (PFLBM) in their ability to model two-phase flows in which the behavior of the system is dominated…

We determine properties of the lattice Boltzmann method for semiclassical fluids, which is based on the Boltzmann equation and the equilibrium distribution function is given either by the Bose-Einstein or the Fermi-Dirac ones. New…

Fluid Dynamics · Physics 2018-02-23 Rodrigo C. V. Coelho , Mauro M. Doria

Simulating inhomogeneous flows with different characteristic scales in different coordinate directions using the collide-and-stream based lattice Boltzmann methods (LBM) can be accomplished efficiently using rectangular lattice grids. We…

Fluid Dynamics · Physics 2021-06-02 Eman Yahia , Kannan Premnath

Current multi-component, multiphase pseudo-potential lattice Boltzmann models have thermodynamic inconsistencies that prevent them to correctly predict the thermodynamic phase behavior of partially miscible multi-component mixtures, such as…

Computational Physics · Physics 2020-11-25 Cheng Peng , Luis F. Ayala , Orlando M. Ayala

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

A number of problems arise when long-range forces, such as those governed by Bessel functions, are used in particle-particle simulations. If a simple cut-off for the interaction is used, the system may find an equilibrium configuration at…

Computational Physics · Physics 2009-11-06 Hans Fangohr , Andrew R. Price , Simon J. Cox , Peter A. J. de Groot , Geoffrey J. Daniell , Ken S. Thomas

The Lattice Boltzmann method (LBM) is a well-established mesoscopic approach for simulating fluid dynamics by evolving particle distribution functions on discrete lattices. While the LBM is highly parallelizable on classical hardware, its…

Quantum Physics · Physics 2026-04-14 Trong Duong , Matthias Möller , Norbert Hosters

In this paper, the performance of two lattice Boltzmann method formulations for yield-stress (i.e. viscoplastic) fluids has been investigated. The first approach is based on the popular Papanastasiou regularisation of the fluid rheology in…

Fluid Dynamics · Physics 2016-10-06 Wojciech Regulski , Christoper Ross Leonardi , Jacek Szumbarski