摘要
介绍了一种偏微分方程求解的一种新颖方法格子Boltzmann模型,详细分析了它的基本理论和基本原理。并通过不可压Navier-Stokes方程组和二维含源项扩散方程的数值模拟计算实例,说明格子Boltzmann方法的有效性,展示了广阔的应用前景,为今后更深入的研究和广泛应用提供参考.
We introduce a novel method for the partial differential equation to solve-Lattice Boltzmann model,The basic theory and basic principle of LBM is analyzed in detail.Two results illustrate that Lattice Boltzmann method is right,effective through numerical simulation on incompressible Navier-Stokes equation and the 2-dimensional diffusion equation with the source term,that shows a wide application prospect to us,which probably provides reference for intensive research and extensive applications later on.
出处
《大学数学》
2011年第3期75-82,共8页
College Mathematics
基金
国家自然科学基金项目"复杂流动的格子Boltzmann建模与计算机仿真"(60773195)
中国科学院边缘海地质重点实验室开放研究基金课题"孔隙裂隙介质中多相流体逾渗模型及数值模拟"(2010.1-2011.12)
