Interest in the lattice Boltzmann method has been steadily increasing since it grew out of
lattice gas models in the late 1980s. While both of these methods simulate the flow of liquids …

There are two main approaches to solving the transport equations (heat, mass, and
momentum) computationally: continuous and discrete. In the continuous approach, ordinary …

We present the OpenLB package, a C++ library providing a flexible framework for lattice
Boltzmann simulations. The code is publicly available and published under GNU GPLv2 …

Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new
and promising methods for the numerical solution of nonlinear partial differential equations …

A lattice Boltzmann model with a multiple-relaxation-time (MRT) collision operator for the
convection–diffusion equation is presented. The model uses seven discrete velocities in …

The solid–liquid phase change problems were solved by the lattice Boltzmann method in
this paper. By modifying the equilibrium distribution function for the temperature, a new …

An extended lattice Boltzmann (LB) equation was developed for the simulation of the phase-
change problem governed by the heat conduction equation incorporated with enthalpy …

We present a 2D-and 3D-lattice Boltzmann model for the treatment of free surface flows
including gas diffusion. Interface advection and related boundary conditions are based on …

In this paper, we improve the lattice Boltzmann pore‐scale model for multicomponent
reactive transport in porous media developed in a previous study. Instead of applying a …

In this paper, based on the previous work (Shi and Guo in Phys Rev E 79: 016701, 2009),
we develop a multiple-relaxation-time (MRT) lattice Boltzmann model for general nonlinear …