# A cellular automata simulation of two-phase flow on the CM-2 Connection Machine computer

@article{Boghosian1988ACA, title={A cellular automata simulation of two-phase flow on the CM-2 Connection Machine computer}, author={Bruce M. Boghosian and Washington Taylor and Daniel H. Rothman}, journal={Proceedings Supercomputing Vol.II: Science and Applications}, year={1988}, pages={34-44 vol.2} }

A cellular automaton (CA) recently developed by D.H. Rothman and J.M. Keller (1988) simulates the flow of two incompressible, immiscible, viscous fluids in two dimensions. This automaton has been simulated on the CM-2 Connection Machine using a sequence of logical operations and table lookups to determine the state of a CA site from its old state and those of its neighbors. The logical operations are performed in parallel by each of the Connection Machine processors, while the table lookups use…

## 10 Citations

### Cellular automaton simulations of cement hydration and microstructure development

- Materials Science
- 1994

Cellular automaton algorithms, which operate on a starting digital image of a water-cement suspension, are described. The algorithms simulate the microstructure development process due to hydration…

### A fast cellular automata algorithm for liquid diffusion phenomenon modeling

- Computer ScienceEvol. Syst.
- 2015

A Cellular Automata based algorithm is proposed in order to predict the LDP dynamical behavior, which creates a set of images to form a video stream and is compared to the original ones taken from the actual LDP scenario.

### A fast cellular automata algorithm for liquid diffusion phenomenon modeling

- Computer ScienceEvolving Systems
- 2013

A Cellular Automata based algorithm is proposed in order to predict the LDP dynamical behavior, which creates a set of images to form a video stream and three benchmark strategies are discussed, which are pixel intensity, area of region of diffusion (ROD), and shape of ROD.

### Spinodal decomposition in a lattice-gas automaton

- Physics
- 1989

We analyze a lattice-gaz model of spinodal decomposition recently introduced by Rothman and Keller. This immiscible lattice gas (ILG) is of special interest because it not only conserves momentum and…

### Cellular Automata-based Algorithm for Liquid Diffusion Phenomenon Modeling using imaging technique

- Computer Science
- 2013

The result obtained from the proposed LDP model compared to other competitive LDP models has higher accuracy and less computation time, and the results showed that there is a direct relationship between the temperature and the diffusion speed.

### Cycles , Transients , and Complexity in the Game of Death Spatial Automaton

- Biology
- 2011

This work focuses on the early transient behaviour following a random system initialisation and the initial thinning out following by a subsequent explosion in species diversity.

### Domain growth in alloys

- Physics
- 1991

This thesis describes Monte-Carlo computer simulations of binary alloys, with comparisons between small angle neutron scattering (SANS) data, and numerically integrated solutions to the…

### Immiscible Lattice Gases: New Results, New Models

- Physics
- 1989

Recent results obtained with immiscible lattice-gas models are reviewed. Particular attention is devoted to a description of a Galilean-invariant model and a study of spinodal decomposition. A…

### Bibliography on Lattice Gases and Related Topics

- Computer Science
- 1989

The organizers of the workshop have invited me to publish my personal bibliography on Lattice Gases. The main modification made to the original file is an attempt to organize the references by…

### Lava lamps in the 21st century

- Computer ScienceThe Visual Computer
- 2005

Simulations involve “twisted majority rules” computed using a 3-D cellular automation lattice described in this paper, which can be used to decorate living rooms of the future with computer displays of colorful and undulating lava-like forms.

## References

SHOWING 1-5 OF 5 REFERENCES

### Lattice Gas Hydrodynamics in Two and Three Dimensions

- PhysicsComplex Syst.
- 1987

It is shown for a class of D-dimensional lattice gas models how the macrodynamical equations for the densities of microscopically conserved quantities can be systematically derived from the underlying exact ''microdynamical'' Boolean equations.

### Cellular automaton fluids 1: Basic theory

- Mathematics
- 1986

Continuum equations are derived for the large-scale behavior of a class of cellular automaton models for fluids. The cellular automata are discrete analogues of molecular dynamics, in which particles…

### Immiscible cellular-automaton fluids

- Physics
- 1988

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…

### Molecular dynamics of a classical lattice gas: Transport properties and time correlation functions

- Physics
- 1976

A study of the dynamics of a discrete two-dimensional system of classical particles is presented. In this model, dynamics and computations may be done exactly, by definition. The equilibrium state is…