%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 }