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The Lattice Boltzmann Method (LBM), e.g. in [ 1] and [2 ], can be interpreted as an alternative method for the numerical solution of partial differential equations. Consequently, although the LBM is usually applied to solve fluid flows, the…

数值分析 · 数学 2023-01-03 Alexander Schlüter , Henning Müller , Sikang Yan , Erik Faust , Ralf Müller

We investigate the hydrodynamic recovery of Lattice Boltzmann Method (LBM) by analyzing exact balance relations for energy and enstrophy derived from averaging the equations of motion on sub-volumes of different sizes. In the context of 2D…

Chemical potential is an effective way to drive phase transition or express wettability. In this letter, we present a chemical-potential-based lattice Boltzmann model to simulate multiphase flows. The nonideal force is directly evaluated by…

计算物理 · 物理学 2017-06-21 Binghai Wen , Xuan Zhou , Bing He , Chaoying Zhang , Haiping Fang

In this paper we consider in detail the properties of dynamical heterogeneity in lattice glass models (LGMs). LGMs are lattice models whose dynamical rules are based on thermodynamic, as opposed to purely kinetic, considerations. We devise…

统计力学 · 物理学 2012-10-02 Richard K. Darst , David R. Reichman , Giulio Biroli

Boiling is a complex phenomenon where different non-linear physical interactions take place and for which the quantitative modeling of the mechanism involved is not fully developed yet. In the last years, many works have been published…

流体动力学 · 物理学 2022-05-23 Alfredo Jaramillo , Vinícius Pessoa Mapelli , Luben Cabezas-Gómez

A new homogenization approach for the simulation of multi-phase flows in heterogeneous porous media is presented. It is based on the lattice Boltzmann method and combines the grayscale with the multi-component Shan-Chen method. Thus, it…

流体动力学 · 物理学 2024-05-30 Martin P. Lautenschlaeger , Julius Weinmiller , Benjamin Kellers , Timo Danner , Arnulf Latz

In lattice models local pressure on a surface is derived from the change in the free energy of the system due to the exclusion of a certain boundary site, while the total force on the surface can be obtained by a similar exclusion of all…

统计力学 · 物理学 2014-12-01 Yosi Hammer , Yacov Kantor

A mesoscopic multi-component lattice Boltzmann model with short-range repulsion between different species and short/mid-ranged attractive/repulsive interactions between like-molecules is introduced. The interplay between these composite…

软凝聚态物质 · 物理学 2010-09-14 Roberto Benzi , Sergio Chibbaro , Sauro Succi

Cascaded lattice-Boltzmann method (Cascaded-LBM) employs a new class of collision operators aiming to improve numerical stability. It achieves this and distinguishes from other collision operators, such as in the standard single or multiple…

计算物理 · 物理学 2012-02-29 Kannan N. Premnath , Sanjoy Banerjee

We present a hybrid lattice Boltzmann algorithm for the simulation of flow glass-forming fluids, characterized by slow structural relaxation, at the level of the Navier-Stokes equation. The fluid is described in terms of a nonlinear…

软凝聚态物质 · 物理学 2015-04-24 S. Papenkort , Th. Voigtmann

Body force modelling in lattice Boltzmann method (LBM) has been extensively studied in the incompressible limit but rarely discussed for thermal compressible flows. Here we present a systematic approach of incorporating body force in LBM…

流体动力学 · 物理学 2023-06-14 Zuoxu Li , Xiaowen Shan

The dynamics of the cavitation bubble collapse is a fundamental issue for the bubble collapse application and prevention. In present work, the modified forcing scheme for the pseudopotential multi-relaxation-time lattice Boltzmann model…

流体动力学 · 物理学 2016-10-12 Ming-Lei Shan , Chang-Ping Zhu , Cheng Yao , Cheng Yin , Xiao-Yan Jiang

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…

高能物理 - 格点 · 物理学 2020-05-29 A. Gabbana , D. Simeoni , S. Succi , R. Tripiccione

The reduced density matrix of an interacting system can be used as the basis for a truncation scheme, or in an unbiased method to discover the strongest kind of correlation in the ground state. In this paper, we investigate the structure of…

强关联电子 · 物理学 2009-11-11 Siew-Ann Cheong , Christopher L. Henley

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…

计算物理 · 物理学 2024-11-11 Su Yan , Xiaowen Shan

Tensor network methods have demonstrated their suitability for the study of equilibrium properties of lattice gauge theories, even close to the continuum limit. We use them in an out-of-equilibrium scenario, much less explored so far, by…

高能物理 - 格点 · 物理学 2025-03-24 Irene Papaefstathiou , Johannes Knolle , Mari Carmen Bañuls

The lattice Boltzmann method has become a widely adopted approach in computational fluid dynamics, offering unique advantages in mesoscopic kinetic modeling, intrinsic parallelism, and simple treatment of boundary conditions. However, its…

数值分析 · 数学 2025-09-16 Ye Ji , Monica Lacatus , Matthias Möller

We develop our recently proposed lattice-Boltzmann method for the non-equilibrium dynamics of amphiphilic fluids (Chen, Boghosian, Coveney and Nekovee, Proc. Roy. Soc. London A, 456, 1431 (2000).) Our method maintains an orientational…

软凝聚态物质 · 物理学 2009-10-31 Maziar Nekovee , Peter V. Coveney , Hudong Chen , Bruce M. Boghosian

The energetic properties of nuclear clusters inside a low-density, finite-temperature medium are studied with a Lattice Gas Model including isospin dependence and Coulomb forces. Important deviations are observed respect to the Fisher…

核理论 · 物理学 2009-06-16 G. Lehaut , F. Gulminelli , O. Lopez

We study the uniformly weighted ensemble of force balanced configurations on a triangular network of nontensile contact forces. For periodic boundary conditions corresponding to isotropic compressive stress, we find that the probability…

软凝聚态物质 · 物理学 2009-11-11 Brian P. Tighe , Joshua E. S. Socolar , David G. Schaeffer , W. Garrett Mitchener , Mark L. Huber