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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

The interpolated bounce-back scheme and the immersed boundary method are the two most popular algorithms in treating a no-slip boundary on curved surfaces in the lattice Boltzmann method. While those algorithms are frequently implemented in…

计算物理 · 物理学 2020-11-25 Cheng Peng , Orlando M. Ayala , Lian-Ping Wang

Lattice Boltzmann methods are a popular mesoscopic alternative to macroscopic computational fluid dynamics solvers. Many variants have been developed that vary in complexity, accuracy, and computational cost. Extensions are available to…

数学软件 · 计算机科学 2020-04-14 Martin Bauer , Harald Köstler , Ulrich Rüde

Lattice Boltzmann methods (LBM) are an important part of current computational fluid dynamics (CFD). They allow easy implementations and boundary handling. However, competitive time to solution not only depends on the choice of a reasonable…

性能 · 计算机科学 2018-04-18 Markus Wittmann , Viktor Haag , Thomas Zeiser , Harald Köstler , Gerhard Wellein

In this paper we presented a lattice Boltzmann with square grid for compressible flow problems. Triple level velocity is considered for each cell. Migration step use discrete velocity but continuous parameters are utilized to calculate…

计算工程、金融与科学 · 计算机科学 2016-09-16 M. Komeili , M. Mirzaei , M. Shabouei

We briefly introduce several fundamental problems that cause the creation of Discrete Boltzmann modeling and analysis Method(DBM), corresponding solutions, the relationship and difference between DBM and traditional fluid modeling and other…

统计力学 · 物理学 2023-09-01 Aiguo Xu

Turbulent compressible flows are traditionally simulated using explicit time integrators applied to discretized versions of the Navier-Stokes equations. However, the associated Courant-Friedrichs-Lewy condition severely restricts the…

计算物理 · 物理学 2021-08-11 Dominik Wilde , Andreas Krämer , Dirk Reith , Holger Foysi

We present mesoscale numerical simulations based on the coupling of the fluctuating lattice Boltzmann method (FLBM) for multicomponent systems with a wetted finite-size particle model. This newly coupled methodologies are used to study the…

软凝聚态物质 · 物理学 2022-12-06 Xiao Xue , Luca Biferale , Mauro Sbragaglia , Federico Toschi

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

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

We present a detailed description of the essentially entropic lattice Boltzmann model. The entropic lattice Boltzmann model guarantees unconditional numerical stability by iteratively solving the nonlinear entropy evolution equation. In…

统计力学 · 物理学 2022-11-23 Mohammad Atif , Praveen Kumar Kolluru , Santosh Ansumali

We report a hybrid numerical method for the solution of the model H fluctuating hydrodynamic equations for binary mixtures. The momentum conservation equations with Landau-Lifshitz stresses are solved using the fluctuating lattice Boltzmann…

统计力学 · 物理学 2011-10-27 P. T. Sumesh , Ignacio Pagonabarraga , Ronojoy Adhikari

In this paper, we propose a hybrid lattice Boltzmann method (HLBM) for solving fluid-structure interaction problems. The proposed numerical approach is applied to model the flow induced by a vibrating thin lamina submerged in a viscous…

计算物理 · 物理学 2020-06-25 Giovanni Di Ilio , Daniele Chiappini , Stefano Ubertini , Gino Bella , Sauro Succi

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

We study the diffusivity of a small particle immersed in a square box filled with a non-ideal multicomponent fluid in the presence of thermal fluctuations. Our approach is based on the numerical integration of fluctuating lattice Boltzmann…

流体动力学 · 物理学 2021-12-14 Xiao Xue , Luca Biferale , Mauro Sbragaglia , Federico Toschi

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

We establish the notion of limit consistency as a modular part in proving the consistency of lattice Boltzmann equations (LBEs) with respect to a given partial differential equation (PDE) system. The incompressible Navier--Stokes equations…

数值分析 · 数学 2023-12-21 Stephan Simonis , Mathias J. Krause

While the lattice Boltzmann method (LBM) has proven robust in areas like general fluid dynamics, heat transfer, and multiphase modeling, its application to mass transfer has been limited. Current modeling strategies often oversimplify the…

流体动力学 · 物理学 2025-04-10 R. G. C. Lourenço , P. H. Constantino , F. W. Tavares

A new description of the binary fluid problem via the lattice Boltzmann method is presented which highlights the use of the moments in constructing two equilibrium distribution functions. This offers a number of benefits, including better…

软凝聚态物质 · 物理学 2009-11-10 K. Stratford , R. Adhikari , I. Pagonabarraga , J. -C. Desplat

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
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