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We present a systematic derivation of a model based on the central moment lattice Boltzmann equation that rigorously maintains Galilean invariance of forces to simulate inertial frame independent flow fields. In this regard, the central…

流体动力学 · 物理学 2012-02-29 Kannan N. Premnath , Sanjoy Banerjee

We describe in detail a recently proposed lattice-Boltzmann model for simulating flows with multiple phases and components. In particular, the focus is on the modeling of one-component fluid systems which obey non-ideal gas equations of…

comp-gas · 物理学 2009-10-22 Xiaowen Shan , Hudong Chen

In contrast to the commonly used lattice Boltzmann method, off-lattice Boltzmann methods decouple the velocity discretization from the underlying spatial grid, thus allowing for more efficient geometric representations of complex…

流体动力学 · 物理学 2016-08-08 Rastin Matin , Marek Krzysztof Misztal , Anier Hernandez-Garcia , Joachim Mathiesen

Among the existing models for compressible fluids, the one by Kataoka and Tsutahara (KT model, Phys. Rev. E 69, 056702, 2004) has a simple and rigorous theoretical background. The drawback of this KT model is that it can cause numerical…

计算物理 · 物理学 2015-05-13 Zheng Ran , Yupeng Xu

A new lattice Boltzmann (LB) model is introduced, based on a regularization of the pre-collision distribution functions in terms of the local density, velocity, and momentum flux tensor. The model dramatically improves the precision and…

流体动力学 · 物理学 2007-05-23 Jonas Latt , Bastien Chopard

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…

流体动力学 · 物理学 2026-03-02 Yizhong Chen , Zhibin Wang

In this study a new numerical approach of the fluid dynamic, the lattice Boltzmann method (LBM), is used to solved the stream in a atmospheric Argon-nitrogen plasma jet. The axial symmetry and the variation of density, viscosity and…

材料科学 · 物理学 2010-02-17 Ridha Djebeli , Nicolas Calve , Bernard Pateyron , Mohamed El Ganaoui , Habib Sammouda

Solving flow-related inverse problems such as topology optimization problems is intricate but significant in various engineering fields. The lattice Boltzmann method (LBM) and the related adjoint method are highly suitable to perform…

数值分析 · 数学 2025-06-10 Ji-Wang Luo , Li Chen , Kentaro Yaji , Wen-Quan Tao

Central moment lattice Boltzmann method (LBM) is one of the more recent developments among the lattice kinetic schemes for computational fluid dynamics. A key element in this approach is the use of central moments to specify collision…

计算物理 · 物理学 2012-02-29 Yang Ning , Kannan N. Premnath

We present a quantum algorithm for computational fluid dynamics based on the Lattice-Boltzmann method. Our approach involves a novel encoding strategy and a modified collision operator, assuming full relaxation to the local equilibrium…

The Lattice Boltzmann Method (LBM) is widely recognized as an efficient algorithm for simulating fluid flows in both single-phase and multi-phase scenarios. In this research, a quantum Carleman Linearization formulation of the Lattice…

量子物理 · 物理学 2024-03-05 Bastien Bakker , Thomas W. Watts

The Lattice-Boltzmann method is a mesoscopic approach for solving hydrodynamic problems involving both laminar and turbulent fluids. Although the suitability for the former cases is supported by a myriad of studies, turbulent flows always…

流体动力学 · 物理学 2026-04-08 Raquel Dapena-García , Vicente Pérez-Muñuzuri

The lattice Boltzmann equation (LBE) is a microscopically-inspired method designed to solve macroscopic fluid dynamics problems. As a such, it lives at the interface between the microscopic (molecular) and macroscopic (continuum) worlds,…

comp-gas · 物理学 2015-06-24 Sauro Succi

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…

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…

流体动力学 · 物理学 2017-04-26 Wenhuan Zhang , Baochang Shi , Yihang Wang

A basic aspect of the kinetic descriptions of incompressible fluids based on an inverse kinetic approaches is the possibility of satisfying an H-theorem. This property is in fact related to the identification of the kinetic distribution…

流体动力学 · 物理学 2007-05-23 M. Tessarotto , M. Ellero

We present a polar coordinate lattice Boltzmann kinetic model for compressible flows. A method to recover the continuum distribution function from the discrete distribution function is indicated. Within the model, a hybrid scheme being…

软凝聚态物质 · 物理学 2018-03-09 Chuandong Lin , Aiguo Xu , Guangcai Zhang , Yingjun Li , Sauro Succi

A major challenge in developing accurate and robust numerical solutions to multi-physics problems is to correctly model evolving discontinuities in field quantities, which manifest themselves as interfaces between different phases in…

计算物理 · 物理学 2023-09-06 Shahab Mirjalili , Søren Taverniers , Henry Collis , Morad Behandish , Ali Mani

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 multiple-relaxation-time discrete Boltzmann model (DBM) is proposed for multicomponent mixtures, where compressible, hydrodynamic, and thermodynamic nonequilibrium effects are taken into account. It allows the specific heat ratio and the…

流体动力学 · 物理学 2021-01-20 Chuandong Lin , Kai H. Luo , Aiguo Xu , Yanbiao Gan , Huilin Lai