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Related papers: The lattice Boltzmann method for fluid flows at re…

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The lattice Boltzmann method exhibits excellent scalability on current supercomputing systems and has thus increasingly become an alternative method for large-scale non-stationary flow simulations, reaching up to a trillion grid nodes.…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-11 Florian Schornbaum , Ulrich Rüde

The Lattice Boltzmann method (LBM) is a well-established mesoscopic approach for simulating fluid dynamics by evolving particle distribution functions on discrete lattices. While the LBM is highly parallelizable on classical hardware, its…

Quantum Physics · Physics 2026-04-14 Trong Duong , Matthias Möller , Norbert Hosters

The lattice Boltzmann model is a simplified kinetic method based on the particle distribution function. We use this method to simulate problems in MEMS, in which the velocity slip near the wall plays an important role. It is demonstrated…

comp-gas · Physics 2007-05-23 Xiaobo Nie , Gary D. Doolen , Shiyi Chen

In this paper, a lattice Boltzmann (LB) model with double distribution functions is proposed for two-phase flow in porous media where one distribution function is used for pressure governed by the Poisson equation, and the other is applied…

Computational Physics · Physics 2018-08-24 Zhenhua Chai , Hong Liang , Rui Du , Baochang Shi

The high Weissenberg number problem has been a persistent challenge in the numerical simulation of viscoelastic fluid flows. This paper presents an improved lattice Boltzmann method for solving viscoelastic flow problems at high Weissenberg…

Fluid Dynamics · Physics 2025-08-26 Yuan Yu , Siwei Chen , Lei Wang , Hai-zhuan Yuan , Shi Shu

We propose an enhanced wall-boundary treatment for the lattice Boltzmann method (LBM), designed for high-Reynolds-number turbulent flows on adaptively refined Cartesian grids. The method improves the slip-velocity bounce-back scheme by…

Fluid Dynamics · Physics 2026-01-27 Jorge Ponsin , Carlos Lozano

The lattice-Boltzmann method (LBM) and its variants have emerged as promising, computationally efficient and increasingly popular numerical methods for modelling complex fluid flow. However, it is acknowledged that the method can…

Statistical Mechanics · Physics 2007-05-23 R. A. Brownlee , A. N. Gorban , J. Levesley

The lattice Boltzmann method (LBM) is emerging as a powerful engineering tool for aeroacoustic computations. However, the LBM has been shown to present accuracy and stability issues in the medium-low Mach number range, that is of interest…

Fluid Dynamics · Physics 2017-11-22 Federico Brogi , Orestis Malaspinas , Bastien Chopard , Costanza Bonadonna

In this series of studies, we establish homogenized lattice Boltzmann methods (HLBM) for simulating fluid flow through porous media. Our contributions in part I are twofold. First, we assemble the targeted partial differential equation…

Numerical Analysis · Mathematics 2023-12-05 Stephan Simonis , Nicolas Hafen , Julius Jeßberger , Davide Dapelo , Gudrun Thäter , Mathias J. Krause

The immersed boundary lattice Boltzmann method (IB-LBM) has been widely used in the simulation of fluid-solid interaction and particulate flow problems, since proposed in 2004. However, it is usually a non-trivial task to retain the…

Computational Physics · Physics 2018-03-28 Shi Tao , Qing He , Baiman Chen , Simin Huang

Minimal Boltzmann kinetic models, such as lattice Boltzmann, are often used as an alternative to the discretization of the Navier-Stokes equations for hydrodynamic simulations. Recently, it was argued that modeling sub-grid scale phenomena…

This paper describes a massively parallel code for a state-of-the art thermal lattice- Boltzmann method. Our code has been carefully optimized for performance on one GPU and to have a good scaling behavior extending to a large number of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-02 E. Calore , A. Gabbana , J. Kraus , E. Pellegrini , S. F. Schifano , R. Tripiccione

In this paper, a diffuse-interface lattice Boltzmann method (DI-LBM) is developed for fluid-particle interaction problems. In this method, the sharp interface between the fluid and solid is replaced by a thin but nonzero thickness…

Computational Physics · Physics 2021-06-17 Jiao Liu , Changsheng Huang , Zhenhua Chai , Baochang Shi

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…

High Energy Physics - Theory · Physics 2012-02-01 D. Hupp , M. Mendoza , I. Bouras , S. Succi , H. J. Herrmann

A modified lattice Boltzmann model with a stochastic relaxation mechanism mimicking "virtual'' collisions between free-streaming particles and solid walls is introduced. This modified scheme permits to compute plane channel flows in…

Chaotic Dynamics · Physics 2007-05-23 Federico Toschi , Sauro Succi

This paper proposes a scalable lattice-Boltzmann computational framework (SBoTFlow) for simulations of flexible moving objects in an incompressible fluid flow. Behavior of fluid flow formed from moving boundaries of flexible-object motions…

Fluid Dynamics · Physics 2024-02-08 Duc V. Nguyen , Dung V. Duong

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…

Computational Physics · Physics 2019-02-11 Jian Guo Zhou

We review the state of the art of active fluids with particular attention to hydrodynamic continuous models and to the use of Lattice Boltzmann Methods (LBM) in this field. We present the thermodynamics of active fluids, in terms of liquid…

Soft Condensed Matter · Physics 2019-10-07 Livio Nicola Carenza , Giuseppe Gonnella , Antonio Lamura , Giuseppe Negro , Adriano Tiribocchi

In this paper, a kind of finite-difference lattice Boltzmann method with the second-order accuracy of time and space (T2S2-FDLBM) is proposed. In this method, a new simplified two-stage fourth order time-accurate discretization approach is…

Computational Physics · Physics 2019-12-02 Xinmeng Chen , Zhenhua Chai , Huili Wang , Baochang Shi

We derive the partial differential equation (PDE) to which the pseudo-potential lattice Boltzmann method (P-LBM) converges under diffusive scaling, providing a rigorous basis for its consistency analysis. By establishing a direct link…

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