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In this paper, a three-dimensional (3D) multiple-relaxation-time (MRT) lattice Boltzmann (LB) model is presented for convection heat transfer in porous media at the representative elementary volume (REV) scale. The model is developed in the…

Computational Physics · Physics 2016-12-05 Q. Liu , Y. -L. He

Three-dimensional melting problems are investigated numerically with Lattice Boltzmann method (LBM). Regarding algorithm's accuracy and stability, Multiple-Relaxation-Time (MRT) models are employed to simplify the collision term in LBM.…

Fluid Dynamics · Physics 2016-07-12 Zheng Li , Mo Yang , Yuwen Zhang

The purposes of this paper are testing an efficiency algorithm based on LBM and using it to analyze two-dimensional natural convection with low Prandtl number. Steady state or oscillatory results are obtained using double…

Computational Physics · Physics 2016-08-03 Zheng Li , Mo Yang , Yuwen Zhang

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

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

We present numerical simulations of three-dimensional thermal convective flows in a cubic cell at high Rayleigh number using thermal lattice Boltzmann (LB) method. The thermal LB model is based on double distribution function approach,…

Fluid Dynamics · Physics 2020-08-05 Ao Xu , Le Shi , Heng-Dong Xi

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

In this paper, a multiple-relaxation-time (MRT) lattice Boltzmann (LB) model is proposed for convection heat transfer in porous media under local thermal non-equilibrium (LTNE) condition. The model is constructed within the framework of the…

Computational Physics · Physics 2016-10-18 Q. Liu , Y. -L. He

In the paper we extend the Multiple-Relaxation-Time (MRT) Lattice Boltzmann (LB) model proposed in [Europhys. Lett. \textbf{90}, 54003 (2010)] so that it is suitable also for incompressible flows. To decrease the artificial oscillations,…

Soft Condensed Matter · Physics 2013-05-22 Feng Chen , Aiguo Xu , Guangcai Zhang , Yonglong Wang

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…

Fluid Dynamics · Physics 2024-05-14 Ivan Talão Martins , Pablo Fariñas Alvariño , Luben Cabezas-Gómez

In this paper, a non-orthogonal multiple-relaxation-time (MRT) lattice Boltzmann (LB) method for simulating incompressible thermal flows is presented. In the method, the incompressible Navier-Stokes equations and temperature equation are…

Computational Physics · Physics 2016-07-08 Qing Liu , Ya-Ling He , Dong Li , Qing Li

In this paper, a multiple-relaxation-time lattice Boltzmann (LB) approach is developed for the simulation of three-dimensional (3D) liquid-vapor phase change based on the pseudopotential model. In contrast to some existing 3D thermal LB…

Numerical Analysis · Mathematics 2022-06-03 Jiangxu Huang , Lei Wang , Kun He , Changsheng Huang

In this paper, three-dimensional (3D) multi-relaxation time (MRT) lattice-Boltzmann (LB) models for multiphase flow are presented. In contrast to the Bhatnagar-Gross-Krook (BGK) model, a widely employed kinetic model, in MRT models the…

Computational Physics · Physics 2015-06-26 Kannan N. Premnath , John Abraham

In this paper, an efficient three-dimensional lattice Boltzmann (LB) model with multiple-relaxation-time (MRT) collision operator is developed for the simulation of multiphase flows. This model is an extension of our previous…

Computational Physics · Physics 2015-07-28 Hong Liang , Baochang Shi , Zhenhua Chai

The recently introduced consistent lattice Boltzmann model with energy conservation [S. Ansumali, I.V. Karlin, Phys. Rev. Lett. 95, 260605 (2005)] is extended to the simulation of thermal flows on standard lattices. The two-dimensional…

Statistical Mechanics · Physics 2007-07-16 N. I. Prasianakis , I. V. Karlin

In this paper, a multiple-relaxation-time (MRT) lattice Boltzmann (LB) model is developed for simulating incompressible axisymmetric thermal flows in porous media at the representative elementary volume (REV) scale. In the model, a D2Q9…

Computational Physics · Physics 2016-03-22 Qing Liu , Ya-Ling He , Qing Li

In this paper, an enthalpy-based multiple-relaxation-time (MRT) lattice Boltzmann (LB) method is developed for solid-liquid phase change heat transfer in metal foams under local thermal non-equilibrium (LTNE) condition. The enthalpy-based…

Materials Science · Physics 2017-08-09 Q. Liu , Y. -L. He , Q. Li

In this paper, a double multiple-relaxation-time lattice Boltzmann model is developed for simulating transient solid-liquid phase change problems in porous media at the representative elementary volume scale. The model uses two different…

Fluid Dynamics · Physics 2015-03-31 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
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