Publisher Summary This chapter focuses on computational fluid dynamics. Computational
fluid dynamics (CFD) is a science that, with the help of digital computers, produces …

A multiphase lattice Boltzmann model is constructed to numerically solve the one-fluid flow
equations for immiscible fluids. The method features one solver for the macroscopic …

In this article, moment‐based boundary conditions for the lattice Boltzmann method are
extended to three dimensions. Boundary conditions for velocity and pressure are explicitly …

The boundary conditions are crucial for numerical methods. This study aims to contribute to
this growing area of research by exploring boundary conditions for the discrete unified gas …

We study the physics of flow due to the interaction between a viscous dipole and boundaries
that permit slip. This includes partial and free slip, and interactions near corners. The …

We analytically solve the two-dimensional, nine-velocity, lattice Boltzmann model in planar
channel flow and determine its deviatoric stress tensor. The shear component of its stress …

A lattice Boltzmann method with moment-based boundary conditions is used to compute
flow in the slip regime. Navier-Maxwell slip conditions and Burnett-order stress conditions …

In this article, the lattice Boltzmann method with two relaxation time (TRT) for the D2Q9
model is used to investigate numerical results for 2D flow. The problem is performed to show …

This chapter introduces different no-slip boundary conditions, including the bounce-back
(BB), non-equilibrium bounce-back (NEBB), and moment-based schemes, for the discrete …

This book provides a concise and comprehensive introduction to several basic methods with
more attention to their theoretical basis and applications in fluid dynamics. Furthermore …