摘要
本文旨在探索用LatticeBoltzmann方法模拟二维水力过渡过程的可行性 .应用Chapman Enskog展开技术 ,导出了一套多尺度方程 ,将LB方程和其所对应的宏观方程联系起来 ;根据水力过渡过程基本方程的特点 ,建立了计算二维水力过渡过程的一个LB模型 ;应用该模型对一维正弦波的传播、一维断波的传播与反射、二维拐角衍射波等典型算例 ,以及近似为二维问题的混凝土蜗壳在机组甩负荷和起动工况下的水力过渡过程进行了模拟分析 .研究表明用LB方法模拟多维水力过渡过程是可行的 ,值得进一步探讨 .
A set of multi scale equations,for characterizing the relations between the lattice Boltzmann equations and their corresponding macroscopic equations is derived by using Chapman Enskog expansion.With these multi scale equations and based on the basic equations for multi dimensional transient flows,a lattice Boltzmann model for 2 D hydraulic transient analysis is established.Numerical simulations of 1 D wave transmission,2 D wave corner diffraction and hydraulic transients in a concrete spiral case show that this method is a feasible and promising approach to simulate multi dimensional hydraulic transients in engineering.
出处
《水利学报》
EI
CSCD
北大核心
2001年第10期32-37,共6页
Journal of Hydraulic Engineering
基金
国家自然科学基金资助项目 ( 5 0 0 0 90 0 7)
