格子Boltzmann方法在模拟液滴冲击液面中的应用  

Application of Lattice Boltzmann method to simulation of impact of droplet on liquid surface

作　　者：张华[1] 郝智文 冯志军[3] 

机构地区：[1]华北电力大学可再生能源学院暨电站设备状态监测与控制教育部重点实验室,北京102206 [2]山西省气象科学研究所,山西太原030002 [3]新华水利水电投资公司,北京100053

出　　处：《水利学报》2008年第12期1316-1320,共5页Journal of Hydraulic Engineering

基　　金：国家自然科学基金委员会;二滩水电开发有限责任公司雅砻江水电开发联合研究基金项目(50579083)

摘　　要：应用格子Boltzmann两相流方程,结合水平集界面重构技术,提出两相流的数值模型。采用五阶WENO格式和三阶TVD Runge-Kutta格式来求解水平集函数的输运方程。在不计重力的条件下,对液滴平动进行了数值模拟,在计算了800个时间步后,平动的液滴仍然保持原来的形状。在考虑重力的条件下,对液滴在空气中自由下落、液滴冲击液面的全过程进行了数值模拟,精细地刻画了液滴和液面界面的变化过程。数值模拟结果与物理现象一致。The Lattice Bohzmann method is combined with the level set interface reconstruction method to establish a model for two-phase flow. The fifth-order WENO scheme and the third-order TVD RungeKutta scheme are adopted to solve the adveetion equation of the level set function. It is found that under the condition of without gravitation the droplet maintains its original shape after 800 time steps. This situation is changed when gravitation exist. The whole process of the droplet free falling and the impact of droplet on liquid surface are simulated. The calculated result accords with the physical mechanism.

关 键 词：液滴 液面 格子BOLTZMANN 水平集 数值模拟 

分 类 号：TV135.2[水利工程—水力学及河流动力学]