Synchronous multi-particle cellular automaton model of diffusion with self-annihilation

Anastasiya Kireeva, Karl K. Sabelfeld, Sergey Kireev

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

2 Цитирования (Scopus)

Аннотация

In this paper a synchronous multi-particle cellular automaton model of diffusion with self-annihilation is developed based on the multi-particle cellular automata suggested previously by other authors. The models of pure diffusion and diffusion with self-annihilation are described and investigated. The correctness of the models is tested separately against the exact solutions of the diffusion equation for different 3D domains. The accuracy of the cellular automata simulation results is investigated depending on the number of cells per a single physical unit. The calculation time of cellular automaton simulation of diffusion with self-annihilation is compared with the calculation time of the Monte Carlo random walk on parallelepipeds method for different domain sizes. The parallel implementation of the cellular automaton model is developed and efficiency of the parallel code is analyzed.

Язык оригиналаанглийский
Название основной публикацииParallel Computing Technologies - 15th International Conference, PaCT 2019, Proceedings
РедакторыVictor Malyshkin
ИздательSpringer-Verlag GmbH and Co. KG
Страницы345-359
Число страниц15
ISBN (печатное издание)9783030256357
DOI
СостояниеОпубликовано - 1 янв 2019
Событие15th International Conference on Parallel Computing Technologies, PaCT 2019 - Almaty, Казахстан
Продолжительность: 19 авг 201923 авг 2019

Серия публикаций

НазваниеLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Том11657 LNCS
ISSN (печатное издание)0302-9743
ISSN (электронное издание)1611-3349

Конференция

Конференция15th International Conference on Parallel Computing Technologies, PaCT 2019
СтранаКазахстан
ГородAlmaty
Период19.08.201923.08.2019

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  • Цитировать

    Kireeva, A., Sabelfeld, K. K., & Kireev, S. (2019). Synchronous multi-particle cellular automaton model of diffusion with self-annihilation. В V. Malyshkin (Ред.), Parallel Computing Technologies - 15th International Conference, PaCT 2019, Proceedings (стр. 345-359). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Том 11657 LNCS). Springer-Verlag GmbH and Co. KG. https://doi.org/10.1007/978-3-030-25636-4_27