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A theoretical formulation of lattice Boltzmann models on a general curvilinear coordinate system is presented. It is based on a volumetric representation so that mass and momentum are exactly conserved as in the conventional lattice…

流体动力学 · 物理学 2024-01-31 Hudong Chen

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.…

流体动力学 · 物理学 2023-01-12 Alexei Chekhlov , Ilya Staroselsky , Raoyang Zhang , Hudong Chen

We employ a lattice Boltzmann method to compute the acoustic radiation force produced by standing waves on a compressible object. Instead of simulating the fluid mechanics equations directly, the proposed method uses a lattice Boltzmann…

流体动力学 · 物理学 2024-08-15 E. Castro-Avila , P. Malgaretti , J. Harting , J. D. Muñoz

In this work, the lattice Boltzmann method (LBM) is assessed as a time-domain numerical approach for electromagnetic wave scattering. Owing to its explicit formulation and suitability for parallel computation on structured grids, LBM…

光学 · 物理学 2026-04-08 Mohd. Meraj Khan , Sumesh P. Thampi , Anubhab Roy

We present a new Lattice Boltzmann (LB) formulation to solve the Maxwell equations for electromagnetic (EM) waves propagating in a heterogeneous medium. By using a pseudo-vector discrete Boltzmann distribution, the scheme is shown to…

天体物理仪器与方法 · 物理学 2015-05-30 Shravan M. Hanasoge , Sauro Succi , Steven A. Orszag

The von Neumann stability analysis along with a Chapman-Enskog analysis is proposed for a single-relaxation-time lattice Boltzmann Method (LBM) for wave propagation in isotropic linear elastic solids, using a regular D2Q9 lattice. Different…

计算工程、金融与科学 · 计算机科学 2020-09-15 Maxime Escande , Praveen Kumar Kolluru , Louis Marie Cléon , Pierre Sagaut

Complex colloidal fluids, such as emulsions stabilized by complex shaped particles, play an important role in many industrial applications. However, understanding their physics requires a study at sufficiently large length scales while…

软凝聚态物质 · 物理学 2012-04-27 Florian Günther , Florian Janoschek , Stefan Frijters , Jens Harting

Conventional lattice Boltzmann models for the simulation of fluid dynamics are restricted by an error in the stress tensor that is negligible only for vanishing flow velocity and at a singular value of the temperature. To that end, we…

流体动力学 · 物理学 2021-04-28 M. H. Saadat , B. Dorschner , I. V. Karlin

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…

流体动力学 · 物理学 2026-04-08 Raquel Dapena-García , Vicente Pérez-Muñuzuri

We consider the problem of ''energy conserving'' lattice Boltzmann models. A major difficulty observed in previous studies is the coupling between the viscous and thermal waves even at moderate wave numbers. We propose a theoretical…

数值分析 · 数学 2013-09-13 Pierre Lallemand , François Dubois

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 · 物理学 2007-05-23 Xiaobo Nie , Gary D. Doolen , Shiyi Chen

Entropic lattice Boltzmann methods have been developed to alleviate intrinsic stability issues of lattice Boltzmann models for under-resolved simulations. Its reliability in combination with moving objects was established for various…

流体动力学 · 物理学 2017-06-21 B. Dorschner , S. S. Chikatamarla , I. V. Karlin

We analyse a linear lattice Boltzmann (LB) formulation for simulation of linear acoustic wave propagation in heterogeneous media. We employ the single-relaxation-time Bhatnagar-Gross-Krook (BGK) as well as the general multi-relaxation-time…

The acoustic waves generated by moving bodies and the movement of bodies by acoustic waves are central phenomena in the operation of musical instruments and in everyday's experiences like the movement of a boat on a lake by the wake…

计算物理 · 物理学 2018-11-05 A. M. Velasco , J. D. Muñoz

A cascaded lattice Boltzmann (LB) approach based on central moments and multiple relaxation times to simulate thermal convective flows, which are driven by buoyancy forces and/or swirling effects, in the cylindrical coordinate system with…

流体动力学 · 物理学 2018-06-28 Farzaneh Hajabdollahi , Kannan N. Premnath , Samuel W. J. Welch

The lattice Boltzmann method can be used to simulate flow through porous media with full geometrical resolution. With such a direct numerical simulation, it becomes possible to study fundamental effects which are difficult to assess either…

计算工程、金融与科学 · 计算机科学 2015-08-13 Ehsan Fattahia , Christian Waluga , Barbara Wohlmuth , Ulrich Rüde , Michael Manhart , Rainer Helmig

Recently, a minimal kinetic model for fluid flow, known as entropic lattice Boltzmann method, has been proposed for the simulation of isothermal hydrodynamic flows. At variance with previous Lattice Boltzmann methods, the entropic version…

统计力学 · 物理学 2007-05-23 I. V. Karlin , S. Ansumali , E. DE Angelis , H. C. Öttinger , S. Succi

A general lattice Boltzmann method for simulation of fluids with tailored transport coefficients is presented. It is based on the recently introduced quasi-equilibrium kinetic models, and a general lattice Boltzmann implementation is…

统计力学 · 物理学 2007-05-23 S. Ansumali , S. Arcidiacono , S. Chikatamarla , N. I. Prasianakis , A. N. Gorban , I. V. Karlin

In this paper, we develop a lattice Boltzmann scheme based on the Vielbein formalism for the study of fluid flows on spherical surfaces. The Vielbein vector field encodes all details related to the geometry of the underlying spherical…

流体动力学 · 物理学 2025-12-16 Victor E. Ambrus , Elisa Bellantoni , Sergiu Busuioc , Alessandro Gabbana , Federico Toschi

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…

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