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It is well known that there are two integral steps of streaming and collision in the lattice Boltzmann method (LBM). This concept has been changed by the author's recently proposed macroscopic lattice Boltzmann method (MacLAB) to solve the…

计算物理 · 物理学 2019-02-11 Jian Guo Zhou

The simulation of geometrically resolved rigid particles in a fluid relies on coupling algorithms to transfer momentum both ways between the particles and the fluid. In this article, the fluid flow is modeled with a parallel Lattice…

流体动力学 · 物理学 2021-03-22 Lukas Werner , Christoph Rettinger , Ulrich Rüde

A new approach of implementing initial and boundary conditions for the lattice Boltzmann method is presented. The new approach is based on an extended collision operator that uses the gradients of the fluid velocity. The numerical…

comp-gas · 物理学 2009-10-22 P. A. Skordos

Lattice Boltzmann method (LBM) is particularly well-suited for implementation on quantum circuits owing to its simple algebraic operations and natural parallelism. However, most quantum LBMs fix $\tau$ = 1 to avoid nonlinear collision,…

量子物理 · 物理学 2025-05-19 Yang Xiao , Liming Yang , Chang Shu , Yinjie Du , Hao Dong , Jie Wu

Quantum algorithms have been identified as a potential means to accelerate computational fluid dynamics (CFD) simulations, with the lattice Boltzmann method (LBM) being a promising candidate for realizing quantum speedups. Here, we extend…

A numerical method for simulating three-phase flows with moving contact lines on arbitrarily complex surfaces is developed in the framework of lattice Boltzmann method. In this method, the immiscible three-phase flow is modeled through a…

流体动力学 · 物理学 2021-07-28 Sheng Li , Yang Lu , Fei Jiang , Haihu Liu

An immersed interface-lattice Boltzmann method (II-LBM) is developed for modelling fluid-structure systems. The key element of this approach is the determination of the jump conditions that are satisfied by the distribution functions within…

计算物理 · 物理学 2021-01-20 Jianhua Qin , Ebrahim M. Kolahdouz , Boyce E. Griffith

We introduce a mesoscopic three-dimensional Lattice Boltzmann Model which attempts to mimick the physical features associated with cage effects in dynamically heterogeneous fluids. To this purpose, we extend the standard Lattice Boltzmann…

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

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

In this paper we analyze the boundary treatment of the lattice Boltzmann method (LBM) for simulating 3D flows with free surfaces. The widely used free surface boundary condition of K\"orner et al. (2005) is shown to be first order accurate.…

数值分析 · 数学 2015-09-29 Simon Bogner , Regina Ammer , Ulrich Rüde

Significant improvements in the computational performance of the lattice-Boltzmann (LB) model, coded in FORTRAN90, were achieved through application of enhancement techniques. Applied techniques include optimization of array memory layouts,…

计算物理 · 物理学 2020-06-24 Hakan Başağaoğlu , John R. Harwell , Hoa Nguyen , Sauro Succi

A new finite volume (FV) discretisation method for the Lattice Boltzmann (LB) equation which combines high accuracy with limited computational cost is presented. In order to assess the performance of the FV method we carry out a systematic…

流体动力学 · 物理学 2016-03-02 Kalyan Shrestha , Gilmar Mompean , Enrico Calzavarini

We demonstrate that in the space of distributions operated on by lattice Boltzmann methods that there exists a vicinity of the equilibrium where collisions with entropy balance are possible and, at the same time, there exist an area of…

计算物理 · 物理学 2013-08-05 A. N. Gorban , D. Packwood

The lattice Boltzmann method, after close to thirty years of presence in computational fluid dynamics has turned into a versatile, efficient and quite popular numerical tool for fluid flow simulations. The lattice Boltzmann method owes its…

流体动力学 · 物理学 2023-09-18 S. A. Hosseini , P. Boivin , D. Thevenin , I. Karlin

Cascaded or central-moment-based lattice Boltzmann method (CLBM) is a relatively recent development in the LBM community, which has better numerical stability and naturally achieves better Galilean invariance for a specified lattice…

计算物理 · 物理学 2018-02-06 Linlin Fei , Kai Hong Luo

We propose a multiple relaxation time Boltzmann equation collision model by systematically assigning a separate relaxation time to each of the central moments of the distribution function. The Chapman-Enskog calculation leads to correct…

计算物理 · 物理学 2020-10-06 Xiaowen Shan

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…

流体动力学 · 物理学 2012-06-05 S. Geller , S. Uphoff , M. Krafczyk

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 explore a novel simulation route for Plasma Wakefield Acceleration (PWFA) by using the computational method known as the Lattice Boltzmann Method (LBM). LBM is based on a discretization of the continuum kinetic theory while assuring the…

In this paper, we develop an efficient lattice Boltzmann (LB) model for simulating immiscible incompressible $N$-phase flows $(N \geq 2)$ based on the Cahn-Hilliard phase field theory. In order to facilitate the design of LB model and…

计算物理 · 物理学 2020-07-08 Xiaolei Yuan , Hong Liang , Zhenhua Chai , Baochang Shi