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We use a three-dimensional lattice Boltzmann model to investigate the spreading of mesoscale droplets on homogeneous and heterogeneous surfaces. On a homogeneous substrate the base radius of the droplet grows with time as $t^{0.28}$ for a…

Soft Condensed Matter · Physics 2007-05-23 A. Dupuis , A. J. Briant , C. M. Pooley , J. M. Yeomans

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

Accurate estimation of surface wettability for various degrees of hydrophobicity becomes increasingly important in the molecular design of membrane. In this paper, we develop simple yet physically realistic model for estimating contact…

Soft Condensed Matter · Physics 2018-01-08 Meysam Makaremi , Myung S. Jhon , Meagan S. Mauter , Lorenz T. Biegler

In this paper we introduce a modified lattice Boltzmann model (LBM) with the capability of mimicking a fluid system with dynamic heterogeneities. The physical system is modeled as a one-dimensional fluid, interacting with finite-lifetime…

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

A non-slip boundary condition at a wall for the lattice Boltzmann method is presented. In the present method unknown distribution functions at the wall are assumed to be an equilibrium distribution function with a counter slip velocity…

comp-gas · Physics 2009-10-28 Takaji Inamuro , Masato Yoshino , Fumimaru Ogino

By solving the Young Laplace equation of capillary hydrostatics one can accurately determine equilibrium shapes of droplets on relatively smooth solid surfaces. The solution, however of the Young Laplace equation becomes tricky when a…

Soft Condensed Matter · Physics 2013-06-05 Nikolaos T. Chamakos , Michail E. Kavousanakis , Athanasios G. Papathanasiou

Three-phase flows through a pore network of Berea sandstone are studied numerically under critical interfacial tension condition. Results show that the relative permeability of each fluid increases as its own saturation increases. The…

Fluid Dynamics · Physics 2021-06-16 Sheng Li , Fei Jiang , Bei Wei , Jian Hou , Haihu Liu

We study the solid-on-solid interface model above a horizontal wall in three dimensional space, with an attractive interaction when the interface is in contact with the wall, at low temperatures. The system presents a sequence of layering…

Statistical Mechanics · Physics 2012-06-06 Salvador Miracle-Sole

Lattice Boltzmann model for viscoelastic flow simulation is proposed; elastic effects are taken into account in the framework of Maxwell model. The following three examples are studied using the proposed approach: a transverse velocity…

Materials Science · Physics 2009-11-07 Iaroslav Ispolatov , Martin Grant

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

In this paper we apply a finite difference lattice Boltzmann model to study the phase separation in a two-dimensional liquid-vapor system. Spurious numerical effects in macroscopic equations are discussed and an appropriate numerical scheme…

Soft Condensed Matter · Physics 2009-11-10 V. Sofonea , A. Lamura , G. Gonnella , A. Cristea

The free surface lattice Boltzmann method (FSLBM) is a combination of the hydrodynamic lattice Boltzmann method (LBM) with a volume of fluid (VOF) interface apturing technique for the simulation of incompressible free surface flows.…

Fluid Dynamics · Physics 2019-09-25 Simon Bogner , Ulrich Rüde , Jens Harting

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 report a theoretical and simulation study of the drying and wetting phase transitions of a truncated Lennard-Jones fluid at a flat structureless wall. Binding potential calculations predict that the nature of these transitions depends on…

Statistical Mechanics · Physics 2017-09-13 Robert Evans , Maria C. Stewart , Nigel B. Wilding

Many biological examples of fluid-structure interaction, including the transit of red blood cells through the narrow slits in the spleen and the intracellular trafficking of vesicles into dendritic spines, involve the near-contact of…

Numerical Analysis · Mathematics 2017-12-20 Thomas G. Fai , Chris H. Rycroft

A method is described for embedding a deformable, elastic, membrane within a lattice Boltzmann fluid. The membrane is represented by a set of massless points which advect with the fluid and which impose forces on the fluid which are derived…

Soft Condensed Matter · Physics 2007-05-23 S V Lishchuk , C M Care

The dynamic behavior of the slip length in a fluid flow confined between atomically smooth surfaces is investigated using molecular dynamics simulations. At weak wall-fluid interactions, the slip length increases nonlinearly with the shear…

Soft Condensed Matter · Physics 2007-10-14 Nikolai V. Priezjev

The threshold dynamics method developed by Merriman, Bence and Osher (MBO) is an efficient method for simulating the motion by mean curvature flow when the interface is away from the solid boundary. Direct generalization of MBO-type methods…

Numerical Analysis · Mathematics 2017-01-04 Xianmin Xu , Dong Wang , Xiaoping Wang

In this work, the electrohydrodynamics of a pair of leaky dielectric droplets on a solid substrate is investigated by the phase-field-based lattice Boltzmann method. Different from a pair of suspended droplets that may coalesce or separate,…

Fluid Dynamics · Physics 2025-08-15 Jiang Peng , Xi Liu , Zhenhua Chai , Changsheng Huang , Xiufang Chen

A new approach of implementing initial and boundary conditions for the lattice Boltzmann method is presented. The new approach is based on an extended collision operator that uses the gradients of the fluid velocity. The numerical…

comp-gas · Physics 2009-10-22 P. A. Skordos
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