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We present a new kinetic model and its lattice Boltzmann realization for the simulation of compressible, non-ideal fluid flows. The method employs first-neighbour lattices and introduces a consistent set of correction terms constructed via…

Fluid Dynamics · Physics 2026-05-08 S. A. Hosseini , M. Feinberg , I. V. Karlin

Normalizing flows have recently demonstrated the ability to learn the Boltzmann distribution of the Hubbard model, opening new avenues for generative modeling in condensed matter physics. In this work, we investigate the steps required to…

Strongly Correlated Electrons · Physics 2026-01-27 Janik Kreit , Andrea Bulgarelli , Lena Funcke , Thomas Luu , Dominic Schuh , Simran Singh , Lorenzo Verzichelli

We present an experimental study of immiscible, two-phase fluid flow through a three-dimensional porous medium consisting of randomly-packed, monodisperse glass spheres. Our experiments combine refractive-index matching and laser-induced…

The lattice Boltzmann method, now widely used for a variety of applications, has also been extended to model multi-phase flows through different formulations. While already applied to many different configurations in the low Weber and…

Fluid Dynamics · Physics 2021-02-02 S. A. Hosseini , H. Safari , D. Thévenin

We provide numerical simulations of an incompressible pressure-thickening and shear-thinning lubricant flowing in a plane slider bearing. We study the influence of several parameters, namely the ratio of the characteristic lengths…

Fluid Dynamics · Physics 2017-09-15 M. Lanzendörfer , J. Málek , K. R. Rajagopal

Turbulent flows over porous lattices consisting of rectangular cuboid pores are investigated using scale-resolving direct numerical simulations. Beyond a certain threshold which is primarily determined by the wall-normal Darcy permeability,…

Fluid Dynamics · Physics 2024-04-17 Seyed Morteza Habibi Khorasani , Mitul Luhar , Shervin Bagheri

Minimal Boltzmann kinetic models, such as lattice Boltzmann, are often used as an alternative to the discretization of the Navier-Stokes equations for hydrodynamic simulations. Recently, it was argued that modeling sub-grid scale phenomena…

In this paper we study the filtration laws for the polymeric flow in a porous medium. We use the quasi-Newtonian models with share dependent viscosity obeying the power-law and the Carreau's law. Using the method of homogenization the…

Analysis of PDEs · Mathematics 2025-10-20 A. Bourgeat , O. Gipouloux , E. Marusic-Paloka

We describe a lattice Boltzmann algorithm to simulate liquid crystal hydrodynamics in three dimensions. The equations of motion are written in terms of a tensor order parameter. This allows both the isotropic and the nematic phases to be…

Statistical Mechanics · Physics 2007-05-23 C. Denniston , D. Marenduzzo , E. Orlandini , J. M. Yeomans

We perform direct numerical simulations of turbulent flow at friction Reynolds number $Re_\tau \approx 500-2000$ grazing over perforates plates with moderate viscous-scaled orifice diameter $d^+\approx40$--$160$ and analyse the relation…

Fluid Dynamics · Physics 2022-03-10 Haris Shahzad , Stefan Hickel , Davide Modesti

We present recent developments in lattice Boltzmann modeling for multi-component flows, implemented on the platform of a general purpose, arbitrary geometry solver PowerFLOW. Presented benchmark cases demonstrate the method's accuracy and…

Fluid Dynamics · Physics 2016-01-07 Hiroshi Otomo , Hongli Fan , Yong Li , Marco Dressler , Ilya Staroselsky , Raoyang Zhang , Hudong Chen

Microscale propulsion is integral to numerous biomedical systems, for example biofilm formation and human reproduction, where the surrounding fluids comprise suspensions of polymers. These polymers endow the fluid with non-Newtonian…

Fluid Dynamics · Physics 2018-06-28 David A. Gagnon , Thomas D. Montenegro-Johnson

We report a pore-scale numerical study of salt finger convection in porous media, with a focus on the influence of the porosity in the non-Darcy regime, which has received little attention in previous research. The numerical model is based…

Fluid Dynamics · Physics 2023-04-11 Xianfei Zhang , Ling-Ling Wang , Shi-Di Huang

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

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

We perform direct numerical simulations of the flow through a model of a deformable porous medium. Our model is a two-dimensional hexagonal lattice, with defects, of soft elastic cylindrical pillars, with elastic shear modulus $G$, immersed…

Fluid Dynamics · Physics 2021-09-09 Marco E. Rosti , Satyajit Pramanik , Luca Brandt , Dhrubaditya Mitra

In this paper, we applied the Shan-Chen multiphase Lattice Boltzmann method to simulate two different parameters, contact angle (a static parameter) and slip length (a dynamic parameter), and we proposed a relationship between them by…

Fluid Dynamics · Physics 2013-04-01 Renliang Zhang , Qinfeng Di , Guohua Gao , Xinliang Wang , Weipeng Ding , Wei Gong

In this work we propose upscaling method for nonlinear Forchheimer flow in highly heterogeneous porous media. The generalized Forchheimer law is considered for incompressible and slightly-compressible single-phase flows. We use recently…

Numerical Analysis · Mathematics 2015-06-15 Eugenio Aulisa , Lidia Bloshanskaya , Yalchin Efendiev , Akif Ibragimov

We consider the process of convective dissolution in homogeneous and isotropic porous media. The flow is unstable due to the presence of a solute that induces a density difference responsible for driving the flow. The mixing dynamics is…

Fluid Dynamics · Physics 2024-08-02 Marco De Paoli , Christopher J. Howland , Roberto Verzicco , Detlef Lohse

The interaction between externally generated turbulence and porous media is central to many engineering and environmental flows, yet the fate of macroscale vortical structures at a porous/fluid interface remains uncharacterized. By…

Fluid Dynamics · Physics 2026-02-03 Justin Courter , Vishal Srikanth , Thibaut Kemayo , Andrey V. Kuznetsov