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The lattice Boltzmann method (LBM) has experienced tremendous advances and been well accepted as a popular method of simulation of various fluid flow mechanisms on pore scale in tight formations. With the introduction of an effective…

Fluid Dynamics · Physics 2016-01-07 Junjian Wang , Li Chen , Qinjun Kang , Sheik S Rahman

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

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

Flows through medical devices as well as in anatomical vessels despite being at moderate Reynolds number may exhibit transitional or even turbulent character. In order to validate numerical methods and codes used for biomedical flow…

Fluid Dynamics · Physics 2020-05-25 Kartik Jain

Multi-component lattice Boltzmann models operating in a wide range of fluid viscosity values are developed and examined. The algorithm is constructed with the goal to enable engineering applications without sacrificing simplicity and…

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 numerical method for simulating three-phase flows with moving contact lines on arbitrarily complex surfaces is developed in the framework of lattice Boltzmann method. In this method, the immiscible three-phase flow is modeled through a…

Fluid Dynamics · Physics 2021-07-28 Sheng Li , Yang Lu , Fei Jiang , Haihu Liu

Multiphase flows with high density ratios, such as water and air flows, have recently been simulated using the lattice Boltzmann (LB) method. This approach corresponds to solving the phase field equations, such as the Cahn-Hilliard and…

Fluid Dynamics · Physics 2025-12-02 H. Otomo , C. Sun , T. Inamuro , W. Li , M. Dressler , H. Chen , Y. Li , R. Zhang

We review the state of the art of active fluids with particular attention to hydrodynamic continuous models and to the use of Lattice Boltzmann Methods (LBM) in this field. We present the thermodynamics of active fluids, in terms of liquid…

Soft Condensed Matter · Physics 2019-10-07 Livio Nicola Carenza , Giuseppe Gonnella , Antonio Lamura , Giuseppe Negro , Adriano Tiribocchi

We study an ad hoc extension of the Lattice-Boltzmann method that allows the simulation of non-Newtonian fluids described by generalized Newtonian models. We extensively test the accuracy of the method for the case of shear-thinning and…

Soft Condensed Matter · Physics 2015-06-25 Susana Gabbanelli , German Drazer , Joel Koplik

It is well known that there are two integral steps of streaming and collision in the lattice Boltzmann method (LBM). This concept has been changed by the author's recently proposed macroscopic lattice Boltzmann method (MacLAB) to solve the…

Computational Physics · Physics 2019-02-11 Jian Guo Zhou

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

Current GPU-accelerated supercomputers promise to enable large-scale simulations of turbulent flows. Lattice Boltzmann Methods (LBM) are particularly well-suited to fulfilling this promise due to their intrinsic compatibility with highly…

Computational Physics · Physics 2025-06-30 Adrian Kummerländer , Fedor Bukreev , Yuji Shimojima , Shota Ito , Mathias J. Krause

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

In this paper, a lattice Boltzmann (LB) model with double distribution functions is proposed for two-phase flow in porous media where one distribution function is used for pressure governed by the Poisson equation, and the other is applied…

Computational Physics · Physics 2018-08-24 Zhenhua Chai , Hong Liang , Rui Du , Baochang Shi

In this paper we analyze the boundary treatment of the lattice Boltzmann method (LBM) for simulating 3D flows with free surfaces. The widely used free surface boundary condition of K\"orner et al. (2005) is shown to be first order accurate.…

Numerical Analysis · Mathematics 2015-09-29 Simon Bogner , Regina Ammer , Ulrich Rüde

This paper presents an improved immersed moving boundary model (IBM) for solving complex fluid-particle interactions in a coupled lattice Boltzmann method (LBM) and an adhesive discrete element method (DEM), using the "partially saturated…

Soft Condensed Matter · Physics 2020-10-21 Wenwei Liu , Chuan-Yu Wu

The performance of a single or the collection of microswimmers strongly depends on the hydrodynamic coupling among their constituents and themselves. We present a numerical study for a single and a pair of microswimmers based on lattice…

Soft Condensed Matter · Physics 2023-03-15 D. Geyer , S. Ziegler , A. Sukhov , M. Hubert , A. -S. Smith , O. Aouane , P. Malgaretti , J. Harting

Multiphase flows frequently occur in many important engineering and scientific applications, but modeling of such flows is a rather challenging task due to complex interfacial dynamics between different phases, let alone if the flow is…

Computational Physics · Physics 2018-03-06 Wandong Zhao , Ben Xu , Ying Zhang

A modified lattice Boltzmann model with a stochastic relaxation mechanism mimicking "virtual'' collisions between free-streaming particles and solid walls is introduced. This modified scheme permits to compute plane channel flows in…

Chaotic Dynamics · Physics 2007-05-23 Federico Toschi , Sauro Succi