Lattice Boltzmann: Fluid Dynamics Modeling

This lecture introduces the lattice Boltzmann method for modeling fluid dynamics, covering topics such as macroscopic and microscopic velocities, the Boltzmann equation, collision and streaming terms, applications in mass conservation and Navier-Stokes equations, as well as solid interfaces, macroscopic parameters, and phase separation. The instructor explains the streaming and collision steps, equilibrium functions, and the Shan-Chen pseudo-potential for two-phase fluids. The lecture also discusses the Van der Waals equation of state, pressure differences in drops, contact angles, capillary rise, and concludes with practical applications of the lattice Boltzmann method.