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We propose a two-population lattice Boltzmann model on standard lattices for the simulation of compressible flows. The model is fully on-lattice and uses the single relaxation time Bhatnagar-Gross-Krook kinetic equations along with…

Fluid Dynamics · Physics 2021-11-24 M. H. Saadat , S. A. Hosseini , B. Dorschner , I. V. Karlin

In this paper, a two-dimensional (2D) multiple-relaxation-time (MRT) lattice Boltzmann (LB) model is developed for simulating convection heat transfer in porous media at the representative elementary volume scale. In the model, a MRT-LB…

Computational Physics · Physics 2013-12-02 Qing Liu , Ya-Ling He , Qing Li , Wen-Quan Tao

Double-diffusive convection in porous media is a common phenomenon in nature, and has received considerable attention in a wide variety of engineering applications. In this paper, a multiple-relaxation-time (MRT) lattice Boltzmann (LB)…

Computational Physics · Physics 2017-08-29 Qing Liu , Ya-Ling He

In this paper, we first present a multiple-relaxation-time lattice Boltzmann (MRT-LB) model for one-dimensional diffusion equation where the D1Q3 (three discrete velocities in one-dimensional space) lattice structure is considered. Then…

Numerical Analysis · Mathematics 2021-08-04 Yuxin Lin , Ning Hong , Baochang Shi , Zhenhua Chai

The liquid-gas density ratio is a key property of multiphase flow methods to model real fluid systems. Here, a chemical-potential multiphase lattice Boltzmann method is constructed to realize extremely large density ratios. The simulations…

Computational Physics · Physics 2020-07-15 Binghai Wen , Liang Zhao , Wen Qiu , Yong Ye , Xiaowen Shan

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

In this paper, a two-dimensional eight-velocity (D2Q8) multiple-relaxation-time (MRT) lattice Boltzmann (LB) model is proposed for incompressible porous flows at the representative elementary volume scale based on the…

Computational Physics · Physics 2015-11-03 Qing Liu , Ya-Ling He

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

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

This paper presents a numerical study of flow through static random assemblies of monodisperse, spherical particles. A lattice Boltzmann approach based on a two relaxation time collision operator is used to obtain reliable predictions of…

Fluid Dynamics · Physics 2014-10-08 Simon Bogner , Swati Mohanty , Ulrich Rüde

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

A three-dimensional (3 D) multiple-relaxation-time (MRT) and a 3 D single-relaxation-time (SRT) lattice Boltzmann (LB) models are proposed for the solid-liquid phase change. The enthalpy conservation equation can be recovered from the…

Computational Physics · Physics 2017-12-29 Dong Li , Ya-Ling He

A double-distribution-function based lattice Boltzmann method (DDF-LBM) is proposed for the simulation of polyatomic gases in the supersonic regime. The model relies on an extended equilibrium state that is constructed to reproduce the…

Computational Physics · Physics 2020-02-13 Jonas Latt , Christophe Coreixas , Joel Beny , Andrea Parmigiani

In this work, we aim to develop a phase-field based lattice Boltzmann (LB) method for simulating two-phase electrohydrodynamics (EHD) flows, which allows for different properties (densities, viscosities, conductivity and permittivity) of…

Fluid Dynamics · Physics 2024-07-03 Fang Xiong , Lei Wang , Jiangxu Huang , Kang Luo

In this paper, we propose a novel two-relaxation-time regularized lattice Boltzmann (TRT-RLB) model for simulating weakly compressible isothermal flows. A free relaxation parameter, $\tau_{s,2}$, is employed to relax the regularized…

Fluid Dynamics · Physics 2024-03-28 Yuan Yu , Zuojian Qin , Siwei Chen , Shi Shu , Hai-Zhuan Yuan

The dynamics of dry active matter have implications for a diverse collection of biological phenomena spanning a range of length and time scales, such as animal flocking, cell tissue dynamics, and swarming of inserts and bacteria. Uniting…

Soft Condensed Matter · Physics 2021-01-07 David Nesbitt , Gunnar Pruessner , Chiu Fan Lee

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

Multi-component fluid flow simulations in multi-scale porous structures often involve regions that are under-resolved at practical computational resolutions. Accurately capturing the contributions from these unresolved regions is critical.…

Recently, we notice that a pressure-based lattice Boltzmann (LB) method was established to recover the volume-averaged Navier-Stokes equations (VANSE), which serve as the cornerstone of various fluid-solid multiphase models. It decouples…

Fluid Dynamics · Physics 2026-03-11 Yang Liu , Xuan Zhang , Jingchun Min , Xiaomin Wu

We develop a lattice Boltzmann (LB) model for immiscible two-phase flow simulations with central moments (CMs). This successfully combines a three-dimensional nonorthogonal CM-based LB scheme [A. De Rosis, Phys. Rev. E 95, 013310 (2017)]…