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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

A novel single MRT-featured lattice Boltzmann method (SmrtLBM) is introduced. The intricate algorithm of the multiple-relaxation-time (MRT) collision operator is reimagined and distilled into a streamlined, single-relaxation-time-like…

Computational Physics · Physics 2024-09-04 Jian Guo Zhou

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

The lattice Boltzmann method (LBM) has gained increasing popularity in incompressible viscous flow simulations, but it uses many more variables than necessary. This defect was overcome by a recent approach that solves the more actual…

Fluid Dynamics · Physics 2021-06-02 Jun-Jie Huang

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

A novel Lattice Boltzmann Method applicable to compressible fluid flows is developed. This method is based on replacing the governing equations by a relaxation system and the interpretation of the diagonal form of the relaxation system as a…

Cellular Automata and Lattice Gases · Physics 2015-04-28 S. V. Raghurama Rao , Rohan Deshmukh , Sourabh Kotnala

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, 14-velocity and 18-velocity multiple-relaxation-time (MRT) lattice Boltzmann (LB) models are proposed for three-dimensional incompressible flows. These two models are constructed based on the incompressible LBGK model…

Fluid Dynamics · Physics 2017-04-26 Wenhuan Zhang , Baochang Shi , Yihang Wang

For compressible fluids under shock wave reaction, we have proposed two Multiple-Relaxation-Time (MRT) Lattice Boltzmann (LB) models [F. Chen, et al, EPL \textbf{90} (2010) 54003; Phys. Lett. A \textbf{375} (2011) 2129.]. In this paper, we…

Soft Condensed Matter · Physics 2013-08-29 Feng Chen , Aiguo Xu , Guangcai Zhang , Yingjun Li

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…

Fluid Dynamics · Physics 2015-07-10 Fabian Bösch , Shyam S. Chikatamarla , Ilya Karlin

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

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

We present a systematic account of recent developments of the relativistic Lattice Boltzmann method (RLBM) for dissipative hydrodynamics. We describe in full detail a unified, compact and dimension-independent procedure to design…

High Energy Physics - Lattice · Physics 2020-05-29 A. Gabbana , D. Simeoni , S. Succi , R. Tripiccione

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 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

We present an energy-conserving multiple-relaxation-time finite difference lattice Boltzmann model for compressible flows. This model is based on a 16-discrete-velocity model. The collision step is first calculated in the moment space and…

Statistical Mechanics · Physics 2015-05-14 Feng Chen , Aiguo Xu , Guangcai Zhang , Yingjun Li

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…

Fluid Dynamics · Physics 2026-03-02 Yizhong Chen , Zhibin Wang

In this contribution a numerical study of a turbulent jet flow is presented. The simulation results of two different variants of the Lattice Boltzmann method (LBM) are compared. The first is the well-established D3Q19 MRT model extended by…

Fluid Dynamics · Physics 2012-06-05 S. Geller , S. Uphoff , M. Krafczyk

The single relaxation time (SRT) and the revised matrix (RM) lattice Boltzmann models are compared for simulations of three dimensional forced isotropic turbulence with resolutions of 128^3 and 256^3, respectively. The forcing technique by…

Fluid Dynamics · Physics 2023-06-08 Waleed Abdel Kareem , Pietro Asinari , Sauro Succi , Seiichiro Izawa , Yu Fukunishi

Prediction of non-equilibrium flows is critical to space flight. In the present work we demonstrate that the recently developed spectral multiple-relaxation-time (SMRT) lattice Boltzmann (LB) model is theoretically equivalent to Grad's…

Computational Physics · Physics 2024-11-11 Su Yan , Xiaowen Shan
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