Diffusion coupling between different chemical components can have significant effects on the distribution of chemical species and can affect the physico-chemical properties of their supporting medium. The coupling can arise from local electric charge conservation for ions or from bound components forming compounds. We present a new lattice Boltzmann model to account for the diffusive coupling b...

Because of its kinetic nature and computational advantages, the Lattice Boltzmann method (LBM) has been well accepted as a useful tool to simulate micro-scale flows. The slip boundary model plays a crucial role in the accuracy of solutions for micro-channel flow simulations. The most used slip boundary condition is the Maxwell slip model. The results of Maxwell slip model are affected by the ac...

The recent development of the lattice gas automata method and its extension to the lattice Boltzmann method have provided new computational schemes for solving a variety of partial differential equations and modeling chemically reacting systems. The lattice gas method, regarded as the simplest microscopic and kinetic approach which generates meaningful macroscopic dynamics, is fully parallel an...

A novel numerical technique for simulating interfacial gravity waves is considered. The model comprises an immiscible, binary fluid lattice Boltzmann model incorporating a gravitational interaction and simulates two immiscible, viscous fluids of different densities with a sharp interface between them. The model is described and the accuracy of the technique is considered. Simulation results are...

A lattice Boltzmann high-density-ratio model, which uses diffuse interface theory to describe the interfacial dynamics and was proposed originally by Lee and Liu [T. Lee, L. Liu, Lattice Boltzmann simulations of micron-scale drop impact on dry surfaces, J. Comput. Phys. 229(2010) 8045-8063], is extended to simulate multiphase flows in porous media. A wetting boundary treatment is proposed for t...

M. Venturoli,1, 2, ∗ M. J. Harvey,1 G. Giupponi,1 P.V. Coveney,1, † R. L. Pinning,3 A. R. Porter,3 and S. M. Pickles3 1Centre for Computational Science, Department of Chemistry, University College London, Christopher Ingold Laboratories, 20 Gordon Street, London WC1H 0AJ, United Kingdom 2 Schlumberger Cambridge Research, High Cross, Madingley Road, Cambridge CB3 0EL, United Kingdom 3 Manchester...

We present an axisymmetric lattice Boltzmann model based on the Kupershtokh et al. multiphase model that is capable of solving liquid-gas density ratios up to 10. Appropriate source terms are added to the lattice Boltzmann evolution equation to fully recover the axisymmetric multiphase conservation equations. We validate the model by showing that a stationary droplet obeys the Young-Laplace law...

We use the lattice Boltzmann method as the basis for a three-dimensional, numerical ocean circulationmodel in a rectangularbasin. The fundamental dynamical variables are the populationsof massand buoyancy-particleswith prescribed discrete velocities. The particles obey collision rules that correspond,on the macroscopic scale, to planetary geostrophicdynamics.The advantagesof the model are simpl...

In this paper, implementation of an extended form of a no-slip wall boundary condition is presented for the three-dimensional (3-D) lattice Boltzmann method (LBM) for solving the incompressible fluid flows with complex geometries. The boundary condition is based on the off-lattice scheme with a polynomial interpolation which is used to reconstruct the curved or irregular wall boundary on the ne...