MODELING OF LIQUID VORTICITY USING CELLULAR AUTOMATON

Authors

  • E. A. Nastenko National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” Kyiv
  • A. V. Radahuz National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” Kyiv

DOI:

https://doi.org/10.18372/1990-5548.54.12337

Keywords:

Cellular automata, derivation of hydrodynamics, molecular dynamics, hexagonal grid, Navier–Stokes equations

Abstract

A method has been developed for constructing large-scale electrophysiological models using extended cellular automata and for running such models on a cluster of shared memory systems. A method is proposed, including the extension of the language cellular automaton for the implementation of quantitative calculations, the construction of the whole-heart model with the Visible Human Project data, the parallelization of the model on a cluster of computers with a general and a simulation algorithm that connects the activity of cells with an electrocardiogram. It is shown that electrical activity at the level of canals, cells and organs can be traced in the extended system of cellular automata. Examples of some signals of electrocardiograms simulated by a two-dimensional cut are given. Also, an evaluation of the performance of a three-dimensional model on a four-member cluster.

Author Biographies

E. A. Nastenko, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” Kyiv

Doctor of Biological Science. Professor.

Head of Department of biomedical cybernetics

A. V. Radahuz, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” Kyiv

Post-graduate student

References

A. Gunstensen and D. Rothman, “Lattice Boltzmann model of immiscible fluids,” Physical Review, vol. 43, pp. 4320–4327, 1991.

U. Frisch, B. Hasslacher, and Y. Pomeau. “Lattice gas automata for the Navier–Stokes equation,” Physical Review, pp. 1505–1508, 1986.

S. Wolfram, “Cellular automata as models of complexity,” International weekly journal of science, pp. 471–526, 1984.

C. Boldea, “A Particle Cellular Automata Model for Fluid Simulations,” Math. Comp. Sci. Ser., vol. 36(2), pp. 35–41, 2009.

C. Hongsheng, Z. Zhong, C. Zhiwei, and T. Xiaotao, “A Lattice Gas Automata Model for the Coupled Heat Transfer and Chemical Reaction of Gas Flow Around and Through a Porous Circular Cylinder,” Entrophy, pp. 297–315, 2016.

S. Chen and Z. Wang, "Lattice Boltzmann computational fluid dynamics in three-dimensions," J. Stat. Phys, vol. 68, pp. 379–400, 1992.

S. Chen and W. Matthaeus, “Recovery of the Navier–Stokes equations using a lattice-gas Boltzmann method,” Physical Review A, 45(8), pp. 5339–5342, 1992.

Downloads

How to Cite

Nastenko, E. A., & Radahuz, A. V. (2017). MODELING OF LIQUID VORTICITY USING CELLULAR AUTOMATON. Electronics and Control Systems, 4(54), 113–117. https://doi.org/10.18372/1990-5548.54.12337

Issue

Vol. 4 No. 54 (2017)

Section

MATHEMATICAL MODELING OF PROCESSES AND SYSTEMS

License

The scientific journal “Electronics and control systems” adheres to the principles of Open Access and provides free, immediate, and permanent access to all published materials without financial, technical, or legal barriers for readers.

All articles are published in Open Access under the Creative Commons Attribution 4.0 International (CC BY 4.0) license.

Copyright

Authors who publish their works in the journal “Electronics and control systems”:

  • retain the copyright to their publications;

  • grant the journal the right of first publication of the article;

  • agree to the distribution of their materials under the CC BY 4.0 license;

  • have the right to reuse, archive, and distribute their works (including in institutional and subject repositories), provided that proper reference is made to the original publication in the journal.