HPP model

Small scale demonstration of the square lattice HPP model (click the picture for animated version).

The Hardy–Pomeau–Pazzis (HPP) model is a fundamental lattice gas automaton for the simulation of gases and liquids. It was a precursor to the lattice Boltzmann methods. From lattice gas automata, it is possible to derive the macroscopic Navier-Stokes equations.[1] Interest in lattice gas automaton methods levelled off in the early 1990s, due to rising interest in the lattice Boltzmann methods.[2]

It was first introduced in papers published in 1973 and 1976 by Jean Hardy, Yves Pomeau and Olivier de Pazzis,[3] whose initials give the model its name. The model can be used as a simple model for both the movement of gases and fluid.[4]

  1. ^ Succi, section 2.3 describes the process
  2. ^ Succi, section 2.6
  3. ^ Rothman, Daniel H.; Zaleski, Stiphane, eds. (1997), "A simple model of fluid mechanics", Lattice-Gas Cellular Automata: Simple Models of Complex Hydrodynamics, Collection Alea-Saclay: Monographs and Texts in Statistical Physics, Cambridge: Cambridge University Press, pp. 1–11, doi:10.1017/CBO9780511524714.002, ISBN 978-0-521-60760-5, retrieved 2022-08-24
  4. ^ Gershenfeld, pp. 103