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We present an energy conserving lattice Boltzmann model based on a crystallographic lattice for simulation of weakly compressible flows. The theoretical requirements and the methodology to construct such a model are discussed. We…

Computational Physics · Physics 2020-01-29 Praveen Kumar Kolluru , Mohammad Atif , Manjusha Namburi , Santosh Ansumali

Fluid dynamics simulations with the lattice Boltzmann method (LBM) are very memory-intensive. Alongside reduction in memory footprint, significant performance benefits can be achieved by using FP32 (single) precision compared to FP64…

Computational Physics · Physics 2022-07-28 Moritz Lehmann , Mathias J. Krause , Giorgio Amati , Marcello Sega , Jens Harting , Stephan Gekle

The Lattice Boltzmann Method (LBM) is a computational technique of Computational Fluid Dynamics (CFD) that has gained popularity due to its high parallelism and ability to handle complex geometries with minimal effort. Although LBM…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-26 Luigi Crisci , Biagio Cosenza , Giorgio Amati , Matteo Turisini

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…

Soft Condensed Matter · Physics 2013-08-29 Aiguo Xu , Guangcai Zhang , Yanbiao Gan , Feng Chen , Xijun Yu

In this paper, we propose a novel two-relaxation-time regularized lattice Boltzmann (TRT-RLB) model for simulating weakly compressible isothermal flows. A free relaxation parameter, $\tau_{s,2}$, is employed to relax the regularized…

Fluid Dynamics · Physics 2024-03-28 Yuan Yu , Zuojian Qin , Siwei Chen , Shi Shu , Hai-Zhuan Yuan

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…

Background and objective: Contrary to flows in small intracranial vessels, many blood flow configurations such as those found in aortic vessels and aneurysms involve larger Reynolds numbers and, therefore, transitional or turbulent…

Fluid Dynamics · Physics 2022-04-25 Feng Huang , Romain Noël , Philipp Berg , Seyed Ali Hosseini

The liquid-gas density ratio is a key property of multiphase flow methods to model real fluid systems. Here, a chemical-potential multiphase lattice Boltzmann method is constructed to realize extremely large density ratios. The simulations…

Computational Physics · Physics 2020-07-15 Binghai Wen , Liang Zhao , Wen Qiu , Yong Ye , Xiaowen Shan

Suspensions with fiber-like particles in the low Reynolds number regime are modeled by two different approaches that both use a Lagrangian representation of individual particles. The first method is the well-established formulation based on…

Computational Engineering, Finance, and Science · Computer Science 2015-03-25 Dominik Bartuschat , Ellen Fischermeier , Katarina Gustavsson , Ulrich Rüde

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…

Soft Condensed Matter · Physics 2009-11-10 K. Stratford , R. Adhikari , I. Pagonabarraga , J. -C. Desplat

Several possibilities exist to implement the propagation step of the lattice Boltzmann method. This paper describes common implementations which are compared according to the number of memory transfer operations they require per lattice…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-09 Markus Wittmann , Thomas Zeiser , Georg Hager , Gerhard Wellein

Over the last two decades, lattice Boltzmann methods have become an increasingly popular tool to compute the flow in complex geometries such as porous media. In addition to single phase simulations allowing, for example, a precise…

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…

Computational Engineering, Finance, and Science · Computer Science 2016-09-16 M. Komeili , M. Mirzaei , M. Shabouei

The Lattice-Boltzmann method is a mesoscopic approach for solving hydrodynamic problems involving both laminar and turbulent fluids. Although the suitability for the former cases is supported by a myriad of studies, turbulent flows always…

Fluid Dynamics · Physics 2026-04-08 Raquel Dapena-García , Vicente Pérez-Muñuzuri

Lattice Boltzmann method (LBM) has been applied to predict flow properties of porous media including intrinsic permeability, where it is implicitly assumed that the LBM is equivalent to the incompressible (or near incompressible)…

Fluid Dynamics · Physics 2016-10-03 Jun Li , Minh Tuan Ho , Lei Wu , Yonghao Zhang

We present a simple, parallel and distributed algorithm for setting up and partitioning a sparse representation of a regular discretized simulation domain. This method is scalable for a large number of processes even for complex geometries…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-09 Markus Wittmann , Thomas Zeiser , Georg Hager , Gerhard Wellein

The pseudopotential model within the Lattice Boltzmann Method (LBM) framework has emerged as a prominent approach in computational fluid dynamics due to its dual strengths in physical intuitiveness and computational tractability. However,…

Fluid Dynamics · Physics 2025-09-03 Yizhong Chen , Zhibin Wang

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,…

Quantum Physics · Physics 2025-05-19 Yang Xiao , Liming Yang , Chang Shu , Yinjie Du , Hao Dong , Jie Wu

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…

Fluid Dynamics · Physics 2023-09-18 S. A. Hosseini , P. Boivin , D. Thevenin , I. Karlin

This study presents a high-order, thread-safe version of the lattice Boltzmann (LBM) method, incorporating an interface-capturing equation, based on the conservative Allen-Cahn equation, to simulate incompressible two-component systems with…

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