Over the past few decades, tremendous progress has been made in the development of
particle-based discrete simulation methods versus the conventional continuum-based …

▪ Abstract We present an overview of the lattice Boltzmann method (LBM), a parallel and
efficient algorithm for simulating single-phase and multiphase fluid flows and for …

Traditional geotechnical analyses for landslides involve failure prediction (ie onset of failure)
and the design of structures that can safely withstand the applied loads. The analyses …

In recent years, stylized forms of the Boltzmann equation, now going by the name of" Lattice
Boltzmann equation"(LBE), have emerged, which relinquish most mathematical complexities …

Over the last two decades, lattice Boltzmann methods have become an increasingly popular
tool to compute the flow in complex geometries such as porous media. In addition to single …

The generalized hydrodynamics (the wave vector dependence of the transport coefficients)
of a generalized lattice Boltzmann equation (LBE) is studied in detail. The generalized lattice …

Computational Fluid Dynamics: A Practical Approach, Fourth Edition is an introduction to
computational fluid dynamics (CFD) fundamentals and commercial CFD software to solve …

This third edition offers a comprehensive overview of the latest theories on flow, transport,
and heat-exchange processes in porous media. It also details sophisticated porous media …

This article provides a concise exposition of the multiple–relaxation–time lattice Boltzmann
equation, with examples of 15–velocity and 19–velocity models in three dimensions …

In this paper, the lattice Boltzmann equation is directly derived from the Boltzmann equation.
It is shown that the lattice Boltzmann equation is a special discretized form of the Boltzmann …