We introduce a new deterministic collision rule for lattice-gas (cellular-automaton) hydrodynamics that yields immiscible two-phase flow. The rule is based on a minimization principle and the conservation of mass, momentum, and particle type. A numerical example demonstrates the spontaneous separation of two phases in two dimensions. Numerical studies show that the surface tension coefficient obeys Laplace's formula.
%0 Journal Article
%1 rothman1988immiscible
%A Rothman, Daniel H.
%A Keller, Jeffrey M.
%D 1988
%J Journal of Statistical Physics
%K 68q80-cellular-automata 76d05-incompressible-navier-stokes-equations 76m28-particle-methods-and-lattice-gas-methods-in-fluid-mechanics 82-04-statistical-mechanics-software-source-code 82-08-statistical-mechanics-structure-of-matter-computational-methods
%N 3
%P 1119--1127
%R 10.1007/BF01019743
%T Immiscible cellular-automaton fluids
%U /brokenurl#10.1007/BF01019743
%V 52
%X We introduce a new deterministic collision rule for lattice-gas (cellular-automaton) hydrodynamics that yields immiscible two-phase flow. The rule is based on a minimization principle and the conservation of mass, momentum, and particle type. A numerical example demonstrates the spontaneous separation of two phases in two dimensions. Numerical studies show that the surface tension coefficient obeys Laplace's formula.
@article{rothman1988immiscible,
abstract = {We introduce a new deterministic collision rule for lattice-gas (cellular-automaton) hydrodynamics that yields immiscible two-phase flow. The rule is based on a minimization principle and the conservation of mass, momentum, and particle type. A numerical example demonstrates the spontaneous separation of two phases in two dimensions. Numerical studies show that the surface tension coefficient obeys Laplace's formula.},
added-at = {2023-05-11T06:27:19.000+0200},
author = {Rothman, Daniel H. and Keller, Jeffrey M.},
biburl = {https://www.bibsonomy.org/bibtex/26402ee03e7d0adc8acf64607922e52fc/gdmcbain},
day = 01,
doi = {10.1007/BF01019743},
interhash = {4530e25444990f99eb2da16fd8c7fba3},
intrahash = {6402ee03e7d0adc8acf64607922e52fc},
issn = {1572-9613},
journal = {Journal of Statistical Physics},
keywords = {68q80-cellular-automata 76d05-incompressible-navier-stokes-equations 76m28-particle-methods-and-lattice-gas-methods-in-fluid-mechanics 82-04-statistical-mechanics-software-source-code 82-08-statistical-mechanics-structure-of-matter-computational-methods},
month = aug,
number = 3,
pages = {1119--1127},
timestamp = {2023-05-11T06:27:19.000+0200},
title = {Immiscible cellular-automaton fluids},
url = {/brokenurl#10.1007/BF01019743},
volume = 52,
year = 1988
}