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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

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…

Computational Physics · Physics 2020-06-25 Giovanni Di Ilio , Daniele Chiappini , Stefano Ubertini , Gino Bella , Sauro Succi

In this work we explore the possibility of learning from data collision operators for the Lattice Boltzmann Method using a deep learning approach. We compare a hierarchy of designs of the neural network (NN) collision operator and evaluate…

Computational Physics · Physics 2023-03-09 Alessandro Corbetta , Alessandro Gabbana , Vitaliy Gyrya , Daniel Livescu , Joost Prins , Federico Toschi

We explore a novel simulation route for Plasma Wakefield Acceleration (PWFA) by using the computational method known as the Lattice Boltzmann Method (LBM). LBM is based on a discretization of the continuum kinetic theory while assuring the…

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

We revisit the classical stability versus accuracy dilemma for the lattice Boltzmann methods (LBM). Our goal is a stable method of second-order accuracy for fluid dynamics based on the lattice Bhatnager--Gross--Krook method (LBGK). The LBGK…

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

Lattice Boltzmann method (LBM) simulations of incompressible flows are nowadays common and well-established. However, for compressible turbulent flows with strong variable density and intrinsic compressibility effects, results are…

Fluid Dynamics · Physics 2024-12-13 Philipp Spelten , Dominik Wilde , Mario Christopher Bedrunka , Dirk Reith , Holger Foysi

Reinforcement learning has driven impressive advances in machine learning. Simultaneously, quantum-enhanced machine learning algorithms using quantum annealing underlie heavy developments. Recently, a multi-agent reinforcement learning…

Artificial Intelligence · Computer Science 2021-11-23 Tobias Müller , Christoph Roch , Kyrill Schmid , Philipp Altmann

A D2Q9 Hybrid Lattice Boltzmann Method (HLBM) is proposed for the simulation of both compressible subsonic and supersonic flows. This HLBM is an extension of the model of Feng et al: [12], which has been found, via different test cases, to…

Fluid Dynamics · Physics 2020-11-05 Florian Renard , Yongliang Feng , Jean-François Boussuge , Pierre Sagaut

In the paper we extend the Multiple-Relaxation-Time (MRT) Lattice Boltzmann (LB) model proposed in [Europhys. Lett. \textbf{90}, 54003 (2010)] so that it is suitable also for incompressible flows. To decrease the artificial oscillations,…

Soft Condensed Matter · Physics 2013-05-22 Feng Chen , Aiguo Xu , Guangcai Zhang , Yonglong Wang

Solving flow-related inverse problems such as topology optimization problems is intricate but significant in various engineering fields. The lattice Boltzmann method (LBM) and the related adjoint method are highly suitable to perform…

Numerical Analysis · Mathematics 2025-06-10 Ji-Wang Luo , Li Chen , Kentaro Yaji , Wen-Quan Tao

Microfluidics provides a powerful and versatile technology to accurately control spatial and temporal conditions for cell culturing and can therefore be used to study cellular responses to gradients. Here we use Lattice Boltzmann methods…

Fluid Dynamics · Physics 2013-08-12 Simon Tanaka , Dagmar Iber

The primary goal of the EuroHPC JU project SCALABLE is to develop an industrial Lattice Boltzmann Method (LBM)-based computational fluid dynamics (CFD) solver capable of exploiting current and future extreme scale architectures, expanding…

This paper investigates wall boundary condition schemes for the simulation of turbulent flows using the Lattice Boltzmann method (LBM) coupled to turbulence models with wall functions. The analysis focuses on two schemes: a regularized…

Fluid Dynamics · Physics 2025-09-03 Jorge Ponsin , Carlos Lozano

Multi-agent systems (MAS) have shown great potential in executing complex tasks, but coordination and safety remain significant challenges. Multi-Agent Reinforcement Learning (MARL) offers a promising framework for agent collaboration, but…

Computer Vision and Pattern Recognition · Computer Science 2025-03-14 Ziqi Jia , Junjie Li , Xiaoyang Qu , Jianzong Wang

Over the past few decades, tremendous progress has been made in the development of particle-based discrete simulation methods versus the conventional continuum-based methods. In particular, the lattice Boltzmann (LB) method has evolved from…

Computational Physics · Physics 2015-12-08 Qing Li , K. H. Luo , Q. J. Kang , Y. L. He , Q. Chen , Q. Liu

The Boltzmann equation, a fundamental equation in kinetic theory, serves as a bridge between microscopic particle dynamics and macroscopic continuum mechanics. However, deriving closed macroscopic moment systems from the Boltzmann equation…

Numerical Analysis · Mathematics 2025-07-29 Juntao Huang , Liu Liu , Kunlun Qi , Jiayu Wan

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

Multi-Agent Reinforcement Learning (MARL) discovers policies that maximize reward but do not have safety guarantees during the learning and deployment phases. Although shielding with Linear Temporal Logic (LTL) is a promising formal method…

Machine Learning · Computer Science 2023-04-14 Wenli Xiao , Yiwei Lyu , John Dolan

Global climate models (GCMs) are the main tools for understanding and predicting climate change. However, due to limited numerical resolutions, these models suffer from major structural uncertainties; e.g., they cannot resolve critical…

Machine Learning · Computer Science 2023-12-05 Rambod Mojgani , Daniel Waelchli , Yifei Guan , Petros Koumoutsakos , Pedram Hassanzadeh