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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

A new lattice Boltzmann (LB) model is introduced, based on a regularization of the pre-collision distribution functions in terms of the local density, velocity, and momentum flux tensor. The model dramatically improves the precision and…

Fluid Dynamics · Physics 2007-05-23 Jonas Latt , Bastien Chopard

A novel Lattice Boltzmann Method applicable to compressible fluid flows is developed. This method is based on replacing the governing equations by a relaxation system and the interpretation of the diagonal form of the relaxation system as a…

Cellular Automata and Lattice Gases · Physics 2015-04-28 S. V. Raghurama Rao , Rohan Deshmukh , Sourabh Kotnala

A upscaled lattice Boltzmann method (LBM) for flow simulations in heterogeneous porous media, at both pore and Darcy scales, is proposed in this paper. In the micro-scale simulations, we model flows using LBM with the modified Guo et al.…

Computational Physics · Physics 2013-12-03 Jun Li , Donald Brown

A new finite volume (FV) discretisation method for the Lattice Boltzmann (LB) equation which combines high accuracy with limited computational cost is presented. In order to assess the performance of the FV method we carry out a systematic…

Fluid Dynamics · Physics 2016-03-02 Kalyan Shrestha , Gilmar Mompean , Enrico Calzavarini

The Lattice Boltzmann Method (LBM) has emerged as a powerful tool in computational fluid dynamics and material science. However, standard LBM formulation imposes some limitations on the applications of the method, particularly compressible…

Soft Condensed Matter · Physics 2025-03-14 Navid Afrasiabian , Colin Denniston

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

Numerical simulation results of basic exactly solvable fluid flows using the previously proposed Lattice Boltzmann Method (LBM) formulated on a general curvilinear coordinate system are presented. As was noted in the theoretical work of H.…

Fluid Dynamics · Physics 2023-01-12 Alexei Chekhlov , Ilya Staroselsky , Raoyang Zhang , Hudong Chen

In this paper, a new progressive mesh algorithm is introduced in order to perform fast physical simulations by the use of a lattice Boltzmann method (LBM) on a single-node multi-GPU architecture. This algorithm is able to mesh automatically…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-14 Julien Duchateau , François Rousselle , Nicolas Maquignon , Gilles Roussel , Christophe Renaud

A hybrid lattice Boltzmann method (LBM) for binary mixtures based on the free-energy approach is proposed. Non-ideal terms of the pressure tensor are included as a body force in the LBM kinetic equations, used to simulate the continuity and…

Soft Condensed Matter · Physics 2015-05-13 A. Tiribocchi , N. Stella , G. Gonnella , A. Lamura

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 paper we present a topology optimization technique applicable to a broad range of flow design problems. We propose also a discrete adjoint formulation effective for a wide class of Lattice Boltzmann Methods (LBM). This adjoint…

Computational Engineering, Finance, and Science · Computer Science 2015-01-21 Łukasz Łaniewski-Wołłk , Jacek Rokicki

The birth of the lattice Boltzmann method (LBM) fulfils a dream that simple arithmetic calculations can simulate complex fluid flows without solving complicated partial differential flow equations. Its power and potential of resolving more…

Computational Engineering, Finance, and Science · Computer Science 2019-01-10 Jian Guo Zhou

The simplified lattice Boltzmann method (SLBM) is a recent development in the lattice Boltzmann method (LBM) community, addressing the intrinsic limitations of the traditional LBM by directly evolving macroscopic quantities and maintaining…

Fluid Dynamics · Physics 2026-05-29 Zhengwei He , Zhen Chen

This paper presents a novel strategy for constructing body source terms in the high-order lattice Boltzmann method (LBM), designed to efficiently introduce various physical phenomena by modifying the non-equilibrium distribution function.…

Fluid Dynamics · Physics 2024-11-19 Shunyang Li , Li Wan , Nan Gui , Xingtuan Yang , Jiyuan Tu , Shengyao Jiang

The lattice Boltzmann method has become a standard technique for simulating a wide range of fluid flows. However, the intrinsic coupling of momentum and space discretization restricts the traditional lattice Boltzmann method to regular…

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

The pseudopotential lattice Boltzmann method (LBM) is a prominent approach for simulating multiphase flows, valued for its physical intuitiveness and computational tractability. However, existing immiscible pseudopotential methods for…

Fluid Dynamics · Physics 2026-03-02 Yizhong Chen , Zhibin Wang

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, a finite volume lattice Boltzmann method (FVLBM) based on cell-center unstructured girds is presented and full studied to simulate the incompressible laminar flows, which is simple modified from the cell-vertex unstructured…

Computational Physics · Physics 2018-12-04 Yong Wang , Chengwen Zhong , Jun Cao , Congshan Zhuo
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