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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

The ensemble data assimilation of computational fluid dynamics simulations based on the lattice Boltzmann method (LBM) and the local ensemble transform Kalman filter (LETKF) is implemented and optimized on a GPU supercomputer based on…

We propose an accelerated computational fluid dynamics framework based on a hybrid Fourier Neural Operator-Lattice Boltzmann Method (FNO-LBM) for steady and unsteady weakly compressible flows. FNO-based initialization significantly…

Fluid Dynamics · Physics 2026-05-01 Alexandra Junk , Josef M. Winter , Meike Tütken , Steffen Schmidt , Nikolaus A. Adams

An original spectral study of the compressible hybrid lattice Boltzmann method (HLBM) on standard lattice is proposed. In this framework, the mass and momentum equations are addressed using the lattice Boltzmann method (LBM), while finite…

Computational Physics · Physics 2020-06-16 Florian Renard , Gauthier Wissocq , Jean-François Boussuge , Pierre Sagaut

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

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

Quantum computing shows substantial potential in accelerating simulations and alleviating memory bottlenecks in computational fluid dynamics (CFD), owing to its inherent properties of superposition and entanglement. The lattice Boltzmann…

Quantum Physics · Physics 2026-03-03 Yang Xiao , Liming Yang , Chang Shu , Yinjie Du

We describe a high-performance implementation of the lattice-Boltzmann method (LBM) for sparse geometries on graphic processors. In our implementation we cover the whole geometry with a uniform mesh of small tiles and carry out calculations…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-30 Tadeusz Tomczak , Roman G. Szafran

A novel single MRT-featured lattice Boltzmann method (SmrtLBM) is introduced. The intricate algorithm of the multiple-relaxation-time (MRT) collision operator is reimagined and distilled into a streamlined, single-relaxation-time-like…

Computational Physics · Physics 2024-09-04 Jian Guo Zhou

Adaptive mesh refinement (AMR) reduces computational costs in CFD by concentrating resolution where needed, but efficiently embedding complex, non-aligned geometries on GPUs remains challenging. We present a GPU-native algorithm for…

Computational Engineering, Finance, and Science · Computer Science 2026-04-28 Khodr Jaber , Ebenezer E. Essel , Pierre E. Sullivan

We propose a single-step simplified lattice Boltzmann algorithm capable of performing magnetohydrodynamic (MHD) flow simulations in pipes for very small values of magnetic Reynolds numbers $R_m$. In some previous works, most lattice…

Fluid Dynamics · Physics 2023-01-19 Hugo S. Tavares , Bruno Magacho , Luca Moriconi , Juliana B. R. Loureiro

Four different kinds of laminar flows between two parallel plates are investigated using the Lattice Boltzmann Method (LBM). The LBM accuracy is estimated in two cases using numerical fits of the parabolic velocity profiles and the kinetic…

comp-gas · Physics 2009-10-28 Bela Szilagyi , Romeo Susan -- Resiga , Victor Sofonea

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

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

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…

This work introduces CLIP, a CUDA-accelerated phase-field lattice Boltzmann framework for simulating immiscible two-phase flows with high density and viscosity ratios in both two- and three-dimensional domains. By leveraging GPU…

Fluid Dynamics · Physics 2025-05-20 Mehdi Shadkhah , Mohammad Taeibi Rahni , Azadeh Kebriaee , Mohammad Reza Salimi

Fluid simulations are often performed using the incompressible Navier-Stokes equations (INSE), leading to sparse linear systems which are difficult to solve efficiently in parallel. Recently, kinetic methods based on the…

Graphics · Computer Science 2021-01-29 Yixin Chen , Wei Li , Rui Fan , Xiaopei Liu

An algorithm is proposed to implement unsteady jump boundary conditions, presenting discontinuity in physical quantities, within the lattice Boltzmann method (LBM). This is useful to tackle problems involving mass or heat transfer through…

Computational Physics · Physics 2018-11-06 Badr Kaoui

We present a highly-optimized thread-safe lattice Boltzmann model in which the non-equilibrium part of the distribution function is locally reconstructed via recursivity of Hermite polynomials. Such a procedure allows the explicit…

Memory-bound algorithms show complex performance and energy consumption behavior on multicore processors. We choose the lattice-Boltzmann method (LBM) on an Intel Sandy Bridge cluster as a prototype scenario to investigate if and how…

Performance · Computer Science 2015-05-25 Markus Wittmann , Georg Hager , Thomas Zeiser , Jan Treibig , Gerhard Wellein