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Thermal fluctuations play a central role in fluid dynamics at mesoscopic scales and must be incorporated into numerical schemes in a manner consistent with statistical mechanics. In this work, we develop a fluctuating lattice Boltzmann…

流体动力学 · 物理学 2026-02-19 Alessandro De Rosis , Yang Zhou

A three-dimensional (3D) lattice Boltzmann method based on central moments is derived. Two main elements are the local attractors in the collision term and the source terms representing the effect of external and/or self-consistent internal…

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

Simulating inhomogeneous flows with different characteristic scales in different coordinate directions using the collide-and-stream based lattice Boltzmann methods (LBM) can be accomplished efficiently using rectangular lattice grids. We…

流体动力学 · 物理学 2021-06-02 Eman Yahia , Kannan Premnath

Recently, a minimal kinetic model for fluid flow, known as entropic lattice Boltzmann method, has been proposed for the simulation of isothermal hydrodynamic flows. At variance with previous Lattice Boltzmann methods, the entropic version…

统计力学 · 物理学 2007-05-23 I. V. Karlin , S. Ansumali , E. DE Angelis , H. C. Öttinger , S. 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

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 central framework of a filtered lattice Boltzmann collision operator formulation is to remove hydrodynamic moments that are not supported by the order of isotropy of a given lattice velocity set. Due to the natural moment orthogonality…

流体动力学 · 物理学 2020-02-10 Hudong Chen , Raoyang Zhang , Pradeep Gopalakrishnan

In a recent work [A. De Rosis, R. Huang, and C. Coreixas, "Universal formulation of central-moments-based lattice Boltzmann method with external forcing for the simulation of multiphysics phenomena", Phys. Fluids 31, 117102 (2019)], a…

计算物理 · 物理学 2020-11-04 Alessandro De Rosis , Christophe Coreixas

Conventional lattice Boltzmann models for the simulation of fluid dynamics are restricted by an error in the stress tensor that is negligible only for vanishing flow velocity and at a singular value of the temperature. To that end, we…

流体动力学 · 物理学 2021-04-28 M. H. Saadat , B. Dorschner , I. V. Karlin

Using a Lattice Boltzmann hydrodynamic computational modeler to simulate relativistic fluid systems we explore turbulence in two-dimensional relativistic flows. We first a give a pedagogical description of the phenomenon of turbulence and…

强关联电子 · 物理学 2022-05-11 Mark Watson

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 framework based on the generalized lattice-Boltzmann equation using multiple relaxation times with forcing term for eddy capturing simulation of wall bounded turbulent flows. Due to its flexibility in using disparate relaxation…

计算物理 · 物理学 2009-11-13 Kannan N. Premnath , Martin J. Pattison , Sanjoy Banerjee

Discrete particle simulations are widely used to study large-scale particulate flows in complex geometries where particle-particle and particle-fluid interactions require an adequate representation but the computational cost has to be kept…

计算工程、金融与科学 · 计算机科学 2017-11-02 Christoph Rettinger , Ulrich Rüde

We present a new formulation of the central moment lattice Boltzmann (LB) method based on a continuous Fokker-Planck (FP) kinetic model, originally proposed for stochastic diffusive-drift processes (e.g., Brownian dynamics), by adapting it…

流体动力学 · 物理学 2024-10-15 William Schupbach , Kannan Premnath

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

Galilean invariance is a fundamental property; however, although the lattice Boltzmann equation itself is Galilean invariant, this property is usually not taken into account in the treatment of the fluid-solid interface. Here, we show that…

流体动力学 · 物理学 2015-06-15 Binghai Wen , Chaoying Zhang , Yusong Tu , Chunlei Wang , Haiping Fang

In this work, a central-moment-based discrete Boltzmann method (CDBM) is constructed for fluid flows with variable specific heat ratios. The central kinetic moments are employed to calculate the equilibrium discrete velocity distribution…

流体动力学 · 物理学 2025-02-25 Chuandong Lin , Xianli Su , Linlin Fei , Kai Hong Luo

In this paper, computations of transient, incompressible, turbulent, plane jets using the discrete lattice BGK Boltzmann equation are reported. A priori derivation of the discrete lattice BGK Boltzmann equation with a spatially and…

流体动力学 · 物理学 2009-11-11 Kannan N. Premnath , John Abraham

The cascaded or central-moments-based lattice Boltzmann method (CM-LBM) is a robust alternative to the more conventional BGK-LBM for the simulation of high-Reynolds number flows. Unfortunately, its original formulation makes its extension…

计算物理 · 物理学 2020-05-06 Alessandro De Rosis , Rongzong Huang , Christophe Coreixas

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
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