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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…

In this paper, we propose a computational framework,which is based on a domain decomposition technique, to employ both finite element method (which is a popular continuum modeling approach) and lattice Boltzmann method (which is a popular…

Computational Engineering, Finance, and Science · Computer Science 2017-08-02 S. Karimi , K. B. Nakshatrala

In this work an optimized multicomponent lattice Boltzmann (LB) model is deployed to simulate axisymmetric turbulent jets of a fluid evolving in a quiescent, immiscible environment over a wide range of dynamic regimes. The implementation of…

Fluid Dynamics · Physics 2024-03-26 Andrea Montessori , Luiz A. Hegele , Marco Lauricella

We develop our existing two-dimensional lattice-gas model to simulate the flow of single-phase, binary-immiscible and ternary-amphiphilic fluids. This involves the inclusion of fixed obstacles on the lattice, together with the inclusion of…

The traffic modelling often keeps the mesoscopic scale in the theoretical sphere because the integro-differential nature of its equations. In the present work we suggest to use the lattice Boltzmann method to overcome these difficulties. In…

Physics and Society · Physics 2018-10-01 Romain Noël , Laurent Navarro , Guy Courbebaisse

For multiscale gas flows, kinetic-continuum hybrid method is usually used to balance the computational accuracy and efficiency. However, the kinetic-continuum coupling is not straightforward since the coupled methods are based on different…

Fluid Dynamics · Physics 2015-05-19 Jianping Meng , Yonghao Zhang , Xiaowen Shan

Lattice Boltzmann simulations have been very successful in simulating liquid-gas and other multi-phase fluid systems. However, the underlying second order analysis of the equation of motion has long been known to be insufficient to…

Soft Condensed Matter · Physics 2009-11-11 A. J. Wagner

We present a highly-optimized thread-safe lattice Boltzmann model in which the non-equilibrium part of the distribution function is locally reconstructed via recursivity of Hermite polynomials. Such a procedure allows the explicit…

We present three dimensional realizations of the model introduced recently by (Karlin, B\"osch, Chikatamarla, Phys. Rev. E 2014) and review the role of the entropic stabilizer. The presented models achieve outstanding numerical stability in…

Fluid Dynamics · Physics 2015-07-10 Fabian Bösch , Shyam S. Chikatamarla , Ilya Karlin

We investigate a relativistic adaptation of the Lattice Boltzmann Method that reproduces the equations of motion for a turbulent, two-dimensional, massless hydrodynamic system. The classical Lattice Boltzmann Method and its extension to…

Fluid Dynamics · Physics 2024-06-12 Mark Watson

One of the limitations of the Lattice Boltzmann Method in simulating inertial flows is the coupling of the discretization of space to the velocity discretization. It requires an increase of the size of computational lattices in order to…

Fluid Dynamics · Physics 2024-09-25 Dawid Strzelczyk , Maciej Matyka

The hydrodynamic limit of a discrete kinetic equation is intrinsically connected with the symmetry of the lattices used in construction of a discrete velocity model. On mixed lattices composed of standard lattices the sixth-order (and…

Fluid Dynamics · Physics 2024-09-11 M. Atif , N. H. Maruthi , P. K. Kolluru , C. Thantanapally , S. Ansumali

With the Lattice Boltzmann method (using the BGK approximation) we investigate the dynamics of Hele-Shaw flow under conditions corresponding to various experimental systems. We discuss the onset of the instability (dispersion relation), the…

Statistical Mechanics · Physics 2009-11-07 Patrick Grosfils , Jean Pierre Boon

This paper presents a model for the simulation of liquid-gas-solid flows by means of the lattice Boltzmann method. The approach is built upon previous works for the simulation of liquid-solid particle suspensions on the one hand, and on a…

Computational Engineering, Finance, and Science · Computer Science 2014-01-08 Simon Bogner , Ulrich Rüde

A lattice Boltzmann method for axisymmetric multiphase flows is presented and validated. The method is capable of accurately modeling flows with variable density. We develop the classic Shan-Chen multiphase model [ Phys. Rev. E 47 1815…

We present a set of effective outflow/open boundary conditions and an associated algorithm for simulating the dynamics of multiphase flows consisting of $N$ ($N\geqslant 2$) immiscible incompressible fluids in domains involving outflows or…

Fluid Dynamics · Physics 2018-05-09 Zhiguo Yang , Suchuan Dong

Modeling and simulation of multiphase flows in complex geomerties are challenging due to the complexity in describing the interface topology changes among different phases and the difficulty in implementing the boundary conditions on the…

Computational Physics · Physics 2023-11-20 Xi Liu , Chengjie Zhan , Yin Chen , Zhenhua Chai , Baochang Shi

We study the forced displacement of a fluid-fluid interface in a three-dimensional channel formed by two parallel solid plates. Using a Lattice-Boltzmann method, we study situations in which a slip velocity arises from diffusion effects…

Fluid Dynamics · Physics 2009-11-13 R. Ledesma-Aguilar , A. Hernandez-Machado , I. Pagonabarraga

We introduce new versions of lattice Boltzmann methods (LBM) for incompressible binary mixtures where fluctuations of total density are inhibited. As a test for the improved algorithms we consider the problem of phase separation of…

Soft Condensed Matter · Physics 2015-06-24 Aiguo Xu , G. Gonnella , A. Lamura

In this work, we consider a general consistent and conservative phase-field model for the incompressible two-phase flows. In this model, not only the Cahn-Hilliard or Allen-Cahn equation can be adopted, but also the mass and the momentum…

Fluid Dynamics · Physics 2022-09-14 Chengjie Zhan , Zhenhua Chai , Baochang Shi