Early Attempts With A Square Lattice
In papers published in 1973 and 1976, Hardy, Pomeau and de Pazzis introduced the first Lattice Boltzmann model, which is called the HPP model after the authors. In this model, the lattice is square, and particles can move to any of the four sites whose cells share a common edge. Particles cannot move diagonally.
If two particles collide head-on, for example a particle moving to the left meets a particle moving to the right, the outcome will be two particles leaving the site at right angles to the direction they came in.
The HPP model lacked rotational invariance, which made the model highly anisotropic. This means for example, that the vortices produced by the HPP model are square-shaped.
Read more about this topic: Lattice Gas Automaton
Famous quotes containing the words early, attempts and/or square:
“In early times, before the floods swept across the world, there was life, albeit odd, as one can see from the fossils of mammoth bones, and there was the regime of Prince Metternich.”
—Franz Grillparzer (1791–1872)
“Anyone who attempts to relate his life loses himself in the immediate. One can only speak of another.”
—Augusto Roa Bastos (b. 1917)
“I would say it was the coffin of a midget
Or a square baby
Were there not such a din in it.”
—Sylvia Plath (1932–1963)