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One of the limitations of the Lattice Boltzmann Method in simulating inertial flows is the coupling of the discretization of space to the velocity discretization. It requires an increase of the size of computational lattices in order to…

流体动力学 · 物理学 2024-09-25 Dawid Strzelczyk , Maciej Matyka

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…

This work outlines a Lattice Boltzmann Method (LBM) for geometrically and constitutively nonlinear solid mechanics to simulate large deformations under dynamic loading conditions. The method utilizes the moment chain approach, where the…

计算工程、金融与科学 · 计算机科学 2025-07-02 Henning Müller , Erik Faust , Alexander Schlüter , Ralf Müller

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

The lattice Boltzmann (LB) method intrinsically links to the Boltzmann equation with the Bhatnagar-Gross-Krook collision operator; however, it has been questioned to be able to simulate noncontinuum bounded gas flows at the micro and…

计算物理 · 物理学 2022-08-24 Yong Shi

This paper presents the shape optimization of a flat-type arborescent fluid distributor for the purpose of process intensification. A shape optimization algorithm based on the lattice Boltzmann method (LBM) is proposed with the objective of…

流体动力学 · 物理学 2014-06-20 Limin Wang , Yilin Fan , Lingai Luo

Starting from the Maxwell-Juettner equilibrium distribution, we develop a relativistic lattice Boltzmann (LB) algorithm capable of handling ultrarelativistic systems with flat, but expanding, spacetimes. The algorithm is validated through…

核理论 · 物理学 2013-05-29 P. Romatschke , M. Mendoza , S. Succi

In this paper, we investigate the recently developed lattice Boltzmann model for relativistic hydrodynamics. To this purpose, we perform simulations of shock waves in quark-gluon plasma in the low and high viscosities regime, using three…

高能物理 - 理论 · 物理学 2012-02-01 D. Hupp , M. Mendoza , I. Bouras , S. Succi , H. J. Herrmann

A double-distribution-function based lattice Boltzmann method (DDF-LBM) is proposed for the simulation of polyatomic gases in the supersonic regime. The model relies on an extended equilibrium state that is constructed to reproduce the…

计算物理 · 物理学 2020-02-13 Jonas Latt , Christophe Coreixas , Joel Beny , Andrea Parmigiani

We propose a new stability analysis of the Vectorial Lattice-Boltzmann Method (VLBM). The VLBM is a variant of the LBM with extended stability features: it allows to handle compressible flows with shock waves, while the LBM is limited to…

偏微分方程分析 · 数学 2024-02-16 Kévin Guillon , Romane Hélie , Philippe Helluy

Non-Newtonian fluid flows, especially in three dimensions (3D), arise in numerous settings of interest to physics. Prior studies using the lattice Boltzmann method (LBM) of such flows have so far been limited to mainly to two dimensions and…

计算物理 · 物理学 2021-01-28 Saad Adam , Farzaneh Hajabdollahi , Kannan Premnath

In this paper we show that standard implementations of fluctuating Lattice Boltzmann methods do not obey Galilean invariance at a fundamental level. In trying to remedy this we are led to a novel kind of multi-relaxation time lattice…

计算物理 · 物理学 2013-08-09 G. Kaehler , A. J. Wagner

This contribution presents a comprehensive overview of of lattice Boltzmann models for non-ideal fluids, covering both theoretical concepts at both kinetic and macroscopic levels and more practical discussion of numerical nature. In that…

流体动力学 · 物理学 2023-01-06 S. A. Hosseini , I. V. Karlin

A volumetric lattice Boltzmann (LB) method is developed for the particle-resolved direct numerical simulation of thermal particulate flows with conjugate heat transfer. This method is devised as a single-domain approach by applying the…

计算物理 · 物理学 2024-11-01 Xiaojie Zhang , Donglei Wang , Qing Li , Rongzong Huang

We investigate a relativistic adaptation of the Lattice Boltzmann Method that reproduces the equations of motion for a turbulent, two-dimensional, massless hydrodynamic system. The classical Lattice Boltzmann Method and its extension to…

流体动力学 · 物理学 2024-06-12 Mark Watson

We present a new 3D lattice Boltzmann (LB) algorithm based on central moments for the D3Q27 lattice using a cuboid grid, which is parameterized by two grid aspect ratios that are related to the ratios of the particle speeds with respect to…

计算工程、金融与科学 · 计算机科学 2021-08-31 Eman Yahia , William Schupbach , Kannan Premnath

In this mini-review we summarize the progress of Lattice Boltzmann(LB) modeling and simulating compressible flows in our group in recent years. Main contents include (i) Single-Relaxation-Time(SRT) LB model supplemented by additional…

软凝聚态物质 · 物理学 2013-08-29 Aiguo Xu , Guangcai Zhang , Yanbiao Gan , Feng Chen , Xijun Yu

Although Lattice Boltzmann Method (LBM) is relatively straightforward, it demands a well-crafted framework to handle the complex partial differential equations involved in multiphase flow simulations. For the first time to our knowledge,…

数值分析 · 数学 2026-04-02 Matteo Maria Piredda , Pietro Asinari

We present a regularized version of the color gradient lattice Boltzmann (LB) scheme for the simulation of droplet formation in microfluidic devices of experimental relevance. The regularized version is shown to provide computationally…

Lattice gas and lattice Boltzmann methods are recently developed numerical schemes for simulating a variety of physical systems. In this paper a new lattice Boltzmann model for modeling two-dimensional incompressible magnetohydrodynamics…

comp-gas · 物理学 2009-10-22 Daniel Martinez , Shiyi Chen , William Matthaeus