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三维斑图形成的格子Boltzmann方法模拟 被引量：2

Simulations of 3D Pattern Formation Based on Lattice Boltzmann Method
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摘要 该文给出了模拟三维反应-扩散方程组的格子Boltzmann方法的Lattice Bhatnagar-Gross-Krook(简记LBGK)模型D3Q7.并用该模型模拟了氯—碘—丙二酸反应动力学模型中的图灵斑图和螺旋波斑图的形成. The lattice Bhatnagar-Gross-Krook （LBGK） model D3Q7 for reaction-diffusion equations is presented in this paper. By using this model, we simulate the three-dimensional Turing pattern and spiral waves in a chlorite-iodide-malonic acid （CIMA） system.
作者 李青 徐旭峰 周美莲
机构地区 上海大学计算机工程与科学学院 上海大学机电工程与自动化学院
出处 《上海大学学报（自然科学版）》 CAS CSCD 北大核心 2007年第5期516-518,共3页 Journal of Shanghai University:Natural Science Edition
基金 国家自然科学基金资助项目(60373071)
关键词 格子波尔兹曼方法 反应-扩散方程 图灵斑图 lattice Boltzmann method reaction-diffusion equation Turing pattern
分类号 TP391.9 [自动化与计算机技术—计算机应用技术]
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参考文献10

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同被引文献19

  • 1QIAN Y H, D' HUMIERES D, LALLEMAND P. Lattice BGK models for Navier-Stokes equation [ J ]. Europhysics Letters, 1992, 17(6):479-484.
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  • 3ZHAO C Y, DAI L N, TANG G H, et al. Numerical study of natural convection in porous media (metals) using lattice Bohzmann method (LBM) [ J ]. International Journal of Heat and Fluid Flow, 2010, 31 (5) :925-934.
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  • 6HE X, CHEN S, DOOLEN G D. A novel thermal model for the lattice Bohzmann method in incompressible limit [J]. Journal of Computational Physics, 1998, 146 ( 1 ) :282-300.
  • 7GUO Z, ZHENG C, SHI B, et al. Thermal lattice Bohzmann equation for low Mach number flows : Decoupling model [ J ]. Physical Review E, 2007, 75 ( 3 ) : 036704.
  • 8PRASIANAKIS N I, CHIKATAMALA S S, KARLIN I V, et al. Entropic lattice Boltzmann method for simulation of thermal flows [ J ]. Mathematics and Computers in Simulation, 2006, 72 (2) : 179-183.
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  • 10PRASIANAKIS N I, KARLIN I V. Lattice Bohzmann method for simulation of compressible flows on standard lattices [ J]. Physical Review E, 2008, 78 (1) :016704.

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上海大学学报（自然科学版）
2007年 第5期

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