用于流体力学的FHP-II格子气自动机的碰撞规则数字电路实现
Collision Rules and Digital Circuit Implementation of the FHP-II Lattice Gas Automata in Fluid Mechanics
DOI: 10.12677/IJFD.2018.64018, PDF,    国家自然科学基金支持
作者: 李 婷*:吉林大学数学学院,吉林 长春;吉林化工学院理学院,吉林 吉林;王博宇, 陈建华, 闫广武:吉林大学数学学院,吉林 长春
关键词: 格子气自动机FHP-II模型Look-Up表数字电路Lattice Gas Automata FHP-II Model Look-Up Table Digital Circuit
摘要: 本文给出了用于模拟不可压缩流动的FHP-II格子气自动机模型中演化规则的数字电路。利用这个电路,生成了FHP-II的Look-Up表。作为算例,我们模拟了小雷诺数的方腔流动,再现了经典的数值结果。
Abstract: In this paper, a digital circuit for simulating the evolution rules of the FHP-II lattice gas automaton model for incompressible flow is presented. Using this circuit, the Look-Up table of FHP-II is gen-erated. As an example, we simulate the square cavity flow with small Reynolds number. The clas-sical numerical results are reproduced.
文章引用:李婷, 王博宇, 陈建华, 闫广武. 用于流体力学的FHP-II格子气自动机的碰撞规则数字电路实现[J]. 流体动力学, 2018, 6(4): 143-149. https://doi.org/10.12677/IJFD.2018.64018

参考文献

[1] Frisch, U., Hasslacher, B. and Pomeau, Y. (1986) Lattice Gas Automaton for the Navier-Stokes Equation. Physical Review Letters, 56, 1505-1508. [Google Scholar] [CrossRef
[2] Wolfram, S. (1986) Cellular Automaton Fluids 1: Basic Theory. Journal of Statistical Physics, 45, 471-526. [Google Scholar] [CrossRef
[3] Frisch, U., d’Humières, D., Hasslacher, B., Lallemand, P., Pomeau, Y. and Riet, J.-P. (1987) Lattice Gas Hydrodynamics in Two and Three Dimensions. Complex Systems, 1, 649-707.
[4] Clavin, P., d’Humieres, D., Lallemand, P. and Pomeau, Y. (1986) Cellular Automata for Hydrodynamics with Free Boundaries in Two and Three Dimensions. C. R. Acad. Sci. Paris II, 303, 1169-1174.
https://www.researchgate.net/publication/279591285_Cellular_automata_for_hydrodynamics_with_ free_boundaries_in_two_and_three_dimensionsAutomates_cellulaires_pour_les_problemes_a_ frontieres_libres_en_hydrodynamique_a_deux_et_trois_dimensions
[5] Vahala, L., Vahala, G. and Yepez, J. (2003) Lattice Boltzmann and Quantum Lattice Gas Representations of One-Dimensional Magneto Hydrodynamic Turbulence. Physics Letters A, 306, 227-234. [Google Scholar] [CrossRef
[6] Chen, H. and Metthaeua, W.H. (1987) New Cellular Automaton Model for Magneto Hydrodynamics. Physical Review Letters, 58, 1845-1848. [Google Scholar] [CrossRef
[7] Montgomery, D. and Doolen, G. (1987) Two Cellular Automata for Plasma Computations. Complex Systems, 4, 831-838.
[8] Clavin, P., Lallemand, P., Pomeau, Y. and Searby, G.Y. (1988) Simulation of Free Boundaries in Flow Systems by Lattice-Gas Models. Journal of Fluid Mechanics, 188, 437-464. [Google Scholar] [CrossRef
[9] 陈建华. FHP-II格子气自动机的碰撞规则及数字电路实现[D]: [硕士学位论文]. 长春: 吉林大学, 2018.
[10] 王博宇. 用于求解流体动力学问题的FHP-II格子气自动机及程序实现[D]: [硕士学位论文]. 长春: 吉林大学, 2017.
[11] Wolf-Glodrow, D.A. (1991) Lattice-Gas Cellular Automata and Lattice Boltzmann Models. Sprin-ger-Verlag Berlin Heidelberg.
[12] 闫广武. 二维直角弯道中粘性流动的格子气体仿真[D]: [硕士学位论文]. 长春: 吉林大学, 1988.
[13] Yan, B. and Yan, GW. (2011) A Steady-State Lattice Boltzmann Model for Incompressible Flows. Computers and Ma-thematics with Applications, 61, 1348-1354. [Google Scholar] [CrossRef