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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…

A constraint penalization method is introduced within the Lattice Boltzmann (LBM) framework to model fluid-structure interactions involving rigid bodies. The proposed approach extends the fictitious domain concept by enforcing the…

Fluid Dynamics · Physics 2025-11-04 Tristan Millet , Erwan Liberge

We present a fully-integrated lattice Boltzmann (LB) method for fluid--structure interaction (FSI) simulations that efficiently models deformable solids in complex suspensions and active systems. Our Eulerian method (LBRMT) couples…

Fluid Dynamics · Physics 2024-02-21 Yue Sun , Chris H. Rycroft

A multi-component lattice Boltzmann model recently introduced (R. Benzi et al. Phys. Rev. Lett 102, 026002 (2009)) to describe some dynamical behaviors of soft-flowing materials is theoretically analyzed. Equilibrium and transport…

Soft Condensed Matter · Physics 2015-05-13 R. Benzi , M. Sbragaglia , S. Succi , M. Bernaschi , S. Chibbaro

The Plateau-Rayleigh instability causes the fragmentation of a liquid ligament into smaller droplets. In this study a numerical study of this phenomenon based on a single relaxation time (SRT) pseudo-potential lattice Boltzmann method (LBM)…

Computational Physics · Physics 2019-04-29 Daniele Chiappini , Xiao Xue , Giacomo Falcucci , Mauro Sbragaglia

We show that the asymptotic properties of the link-wise artificial compressibility method are not compatible with a correct approximation of fluid properties. We propose to adapt the previous method through a framework suggested by the…

Numerical Analysis · Mathematics 2018-03-02 François Dubois , Pierre Lallemand , Christian Obrecht , Mohamed Tekitek

We present a numerical study of the dynamics of a non-ideal fluid subject to a density-dependent pseudo-potential characterized by a hierarchy of nested attractive and repulsive interactions. It is shown that above a critical threshold of…

Soft Condensed Matter · Physics 2009-11-10 A. Lamura , S. Succi

We demonstrate that in the space of distributions operated on by lattice Boltzmann methods that there exists a vicinity of the equilibrium where collisions with entropy balance are possible and, at the same time, there exist an area of…

Computational Physics · Physics 2013-08-05 A. N. Gorban , D. Packwood

The standard lattice Boltzmann equation (LBE) method usually fails to capture the physical equilibrium state of a two-phase fluid system, i.e., zero velocity and constant chemical potential. Consequently, spurious velocities and…

Fluid Dynamics · Physics 2021-11-16 Zhaoli Guo

Complex fluid-fluid interfaces featuring mesoscale structures with adsorbed particles are key components of newly designed materials which are continuously enriching the field of soft matter. Simulation tools which are able to cope with the…

Soft Condensed Matter · Physics 2014-02-24 Marcello Sega , Mauro Sbragaglia , Sofia Sergeevna Kantorovich , Alexey Olegovich Ivanov

In this paper, a lattice Boltzmann (LB) model is presented for axisymmetric multiphase flows. Source terms are added to a two-dimensional standard lattice Boltzmann equation (LBE) for multiphase flows such that the emergent dynamics can be…

Fluid Dynamics · Physics 2009-11-11 Kannan N. Premnath , John Abraham

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…

Fluid Dynamics · Physics 2017-06-21 B. Dorschner , S. S. Chikatamarla , I. V. Karlin

Studies of multiphase fluids utilizing the lattice Boltzmann method (LBM) are typically severely restricted by the number of components or chemical species being modeled. This restriction is particularly pronounced for multiphase systems…

Fluid Dynamics · Physics 2023-06-21 Muzammil Soomro , Luis F. Ayala

A systematic study for a single-specie lattice Boltzmann model with frustrated-short range attractive and mid/long-range repulsive-interactions is presented. The equilibrium analysis is performed along the guidelines proposed by [X. Shan,…

Soft Condensed Matter · Physics 2014-02-26 M. Sbragaglia , R. Benzi , M. Bernaschi S. Succi

We propose a novel fluid-structure interaction (FSI) scheme using the entropic multi-relaxation time lattice Boltzmann (KBC) model for the fluid domain in combination with a nonlinear finite element solver for the structural part. We show…

Fluid Dynamics · Physics 2018-02-28 Benedikt Dorschner , Shyam S. Chikatamarla , Ilya V. Karlin

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

In this paper, a novel lattice Boltzmann (LB) model based on the Allen-Cahn phase-field theory is proposed for simulating axisymmetric multiphase flows. The most striking feature of the model is that it enables to handle multiphase flows…

Computational Physics · Physics 2018-10-23 Hong Liang , Yang Li , Jiangxing Chen , Jiangrong Xu

Convergence acceleration of flow simulations to their steady states at lower Mach numbers can be achieved via preconditioning the lattice Boltzmann (LB) schemes that alleviate the associated numerical stiffness, which have so far been…

Computational Physics · Physics 2022-08-17 Eman Yahia , Kannan Premnath

In this paper we extend the local iterative Lie-Schwinger block-diagonalization method - introduced in [DFPR3] for quantum lattice systems with bounded interactions in arbitrary dimension- to systems with unbounded interactions, i.e.,…

Mathematical Physics · Physics 2021-09-01 Simone Del Vecchio , Juerg Fröhlich , Alessandro Pizzo

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…

Optics · Physics 2026-04-08 Mohd. Meraj Khan , Sumesh P. Thampi , Anubhab Roy