摘要
本文应用格子Boltzmann模型建立离散动力学模型,并利用Chapman Enskog对模型的方程组进行展开,建立了模拟二维浅水动力学的方程组。在从理论上证明了它严格地满足质量和动量的基本守恒定律的基础上,应用所建立的模型进行数值试验,模拟了溃坝涌波现象及其与固壁和建筑物的相互作用。利用这一模型计算了溃坝波与水中方柱和圆柱的相互作用,以及明渠内的涌波的反射和绕射复杂流场。该模型具有显式的表达形式,易于编程应用;粒子运动是彼此独立的,适合于并行数值计算;边界条件易于处理;易于处理多相流动微观机制等优点。
The lattice Boltzmann model is applied to deduce the dynamic equations for discrete particles and the Chapman-Enskog expansion approach is utilized to establish the equations for 2-D wave motion in shallow water.In this model the conservation law of mass and conservation law of momentum are strictly ensured.The computational results of three examples including the interaction between a dam breaking surge and reflection wave from a cylinder with rectangular cross section and cylinder with circular section,the reflection and diffraction waves occurred to the rectangular turning in open channel are given.It is found that this method possesses the advantages of convenient to programming and easy for boundary condition treatment.The model can be used to study the micro mechanism of multi-phase flow.
出处
《水利学报》
EI
CSCD
北大核心
2004年第3期22-28,共7页
Journal of Hydraulic Engineering
基金
中国科学院知识创新工程项目(KZCX2 204)资助
