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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…

元胞自动机与格子气 · 物理学 2015-04-28 S. V. Raghurama Rao , Rohan Deshmukh , Sourabh Kotnala

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…

量子物理 · 物理学 2026-04-14 Trong Duong , Matthias Möller , Norbert Hosters

Numerical simulation results of basic exactly solvable fluid flows using the previously proposed Lattice Boltzmann Method (LBM) formulated on a general curvilinear coordinate system are presented. As was noted in the theoretical work of H.…

流体动力学 · 物理学 2023-01-12 Alexei Chekhlov , Ilya Staroselsky , Raoyang Zhang , Hudong Chen

The Lattice Boltzmann Method (LBM) has emerged as a powerful tool in computational fluid dynamics and material science. However, standard LBM formulation imposes some limitations on the applications of the method, particularly compressible…

软凝聚态物质 · 物理学 2025-03-14 Navid Afrasiabian , Colin Denniston

We introduce a lattice Boltzmann for simulating an immiscible binary fluid mixture. Our collision rules are derived from a macroscopic thermodynamic description of the fluid in a way motivated by the Cahn-Hilliard approach to…

comp-gas · 物理学 2009-10-28 Enzo Orlandini , Michael R. Swift , J. M. Yeomans

In this paper, a lattice Boltzmann (LB) model with double distribution functions is proposed for two-phase flow in porous media where one distribution function is used for pressure governed by the Poisson equation, and the other is applied…

计算物理 · 物理学 2018-08-24 Zhenhua Chai , Hong Liang , Rui Du , Baochang Shi

In this paper we introduce a modified lattice Boltzmann model (LBM) with the capability of mimicking a fluid system with dynamic heterogeneities. The physical system is modeled as a one-dimensional fluid, interacting with finite-lifetime…

软凝聚态物质 · 物理学 2009-11-10 A. Lamura , S. Succi

A highly efficient three-dimensional (3D) Lattice Boltzmann (LB) model for high speed compressible flows is proposed. This model is developed from the original one by Kataoka and Tsutahara[Phys. Rev. E 69, 056702 (2004)]. The convection…

统计力学 · 物理学 2010-12-14 Feng Chen , Aiguo Xu , Guangcai Zhang , Yingjun Li

The immersed boundary lattice Boltzmann method (IB-LBM) has been widely used in the simulation of fluid-solid interaction and particulate flow problems, since proposed in 2004. However, it is usually a non-trivial task to retain the…

计算物理 · 物理学 2018-03-28 Shi Tao , Qing He , Baiman Chen , Simin Huang

The birth of the lattice Boltzmann method (LBM) fulfils a dream that simple arithmetic calculations can simulate complex fluid flows without solving complicated partial differential flow equations. Its power and potential of resolving more…

计算工程、金融与科学 · 计算机科学 2019-01-10 Jian Guo Zhou

A lattice Boltzmann scheme able to model the hydrodynamics of phase separation and two-phase flow is described. Thermodynamic consistency is ensured by introducing a non-ideal pressure tensor directly into the collision operator. We also…

comp-gas · 物理学 2009-10-28 Michael R. Swift , W. R. Osborn , J. M. Yeomans

A novel lattice Boltzmann (LB) model for multiphase flows is developed that complies with the thermodynamic foundations of kinetic theory. By directly devising the collision term for LB equation at the discrete level, a self-tuning equation…

计算物理 · 物理学 2019-02-13 Rongzong Huang , Huiying Wu , Nikolaus A. Adams

Over the past few decades, tremendous progress has been made in the development of particle-based discrete simulation methods versus the conventional continuum-based methods. In particular, the lattice Boltzmann (LB) method has evolved from…

计算物理 · 物理学 2015-12-08 Qing Li , K. H. Luo , Q. J. Kang , Y. L. He , Q. Chen , Q. Liu

A hybrid lattice Boltzmann method (LBM) for binary mixtures based on the free-energy approach is proposed. Non-ideal terms of the pressure tensor are included as a body force in the LBM kinetic equations, used to simulate the continuity and…

软凝聚态物质 · 物理学 2015-05-13 A. Tiribocchi , N. Stella , G. Gonnella , A. Lamura

We present a lattice-based numerical method to describe the non equilibrium behavior of a simple fluid under non-uniform spatial conditions. The evolution equation for the one-particle phase-space distribution function is derived starting…

统计力学 · 物理学 2009-11-13 S. Melchionna , U. Marini Bettolo Marconi

In this brief report, a thermal lattice-Boltzmann (LB) model is presented for axisymmetric thermal flows in the incompressible limit. The model is based on the double-distribution-function LB method, which has attracted much attention since…

计算物理 · 物理学 2015-05-13 Q. Li , Y. L. He , G. H. Tang , W. Q. Tao

We present a further theoretical extension to the kinetic theory based formulation of the lattice Boltzmann method of Shan et al (2006). In addition to the higher order projection of the equilibrium distribution function and a sufficiently…

计算物理 · 物理学 2009-11-11 Raoyang Zhang , Xiaowen Shan , Hudong Chen

For multiscale gas flows, kinetic-continuum hybrid method is usually used to balance the computational accuracy and efficiency. However, the kinetic-continuum coupling is not straightforward since the coupled methods are based on different…

流体动力学 · 物理学 2015-05-19 Jianping Meng , Yonghao Zhang , Xiaowen Shan

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

A coarse-grained version of the Lattice Boltzmann (LB) method is developed with the intent of enhancing its geometrical flexibility so as to be able to tackle a wider class of flows of engineering interest. To this purpose, the original…

comp-gas · 物理学 2015-06-24 Giorgio Amati , Sauro Succi , Roberto Benzi
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