摘要
根据文献 [1]所论述的以波尔兹曼方程建立明渠水流模型的理论及明渠水流中微、宏观变量之间的基本关系 ,采用有限体积离散方法 ,探讨了BGK明渠水流数值模型的方法 ,初步建立了不同于传统方法的、满足熵原理的BGK明渠水流数值模型。通过对一系列典型的明渠水流现象的模拟 ,并与理论解、其它计算方法获得的解以及公开发表的实验结果相比较 ,表明所提出的模型计算精度高、稳定性好 ,勿须人为的熵修正 (如人为增加耗散项 ) ,能准确模拟明渠中不连续水流运动 (如溃坝波等 ) ,不会出现非物理性的震荡 。
According to the theory for establishing the numerical model for open channel flows using the Boltzmann equation and the basic relationships between the microscopic and macroscopic variables proposed by the paper[1],a BGK numerical method for open channel flows which is different from traditional methods and satisfies the entropy conditions is established by employing the finite volume method.The proposed model is applied to solve a range of typical open channel flow problems.Through the comparison between the numerical results and analytical solutions or the solutions obtained by other models or laboratory data,it is shown that the proposed BGK model has its advantages in the computational accuracy and the stability and it does not meet any entropy fixes (such as adding the diffusion terms artificially).This model can accurately simulate discontinuous flows (such as the dam_break problems) in open channels and is free of unphysical oscillations.It is a numerical model for open channel flows worthy of developing further.
出处
《人民珠江》
2001年第3期25-30,共6页
Pearl River
关键词
波尔兹曼理论
明渠水流
不连续水流
数值方法
熵原理
Boltzmann theory
open channel flows
discontinuous flows
numerical methods
entropy principle
