食物链种群模型的格子Boltzmann方法模拟(英文)  

Numerical Simulations of Food-Chain Populations by the Lattice Boltzmann Method

作　　者：段雅丽[1] 刘儒勋[1] 

机构地区：[1]中国科学技术大学数学系,安徽合肥230026

出　　处：《生物数学学报》2007年第4期591-598,共8页Journal of Biomathematics

基　　金：The Work is Supported by NNSF of China(10371118);Innovation Fund of Beijing National Key Laboratory of Computational Physics(NKLCP)

摘　　要：用格子Boltzmann方法求解用反应-扩散方程组描述的食物链种群模型.我们用一维和二维方程组进行数值实验,模拟结果与现有的数值实验结果很好地吻合,反映了格子Boltzmann方法的高效性和稳定性.并就二维格子Boltzmann格式,通过其等价的差分格式,由极值原理证明了该格式的稳定性.Lattice Boltzmann schemes for simulating food-chain populations described by the reaction-diffusion equations are investigated. Two examples, 1-D and 2-D systems, are made to show the efficiency and stability of this method. The numerical predictions are in good agreement with the available results. For the 2-D scheme, the maximum principle is proved and the stability is also obtained.

关 键 词：反应-扩散方程组 格子BOLTZMANN方法 D2Q5模型 极值原理 稳定性 

分 类 号：O242.21[理学—计算数学]