摘要
任意流场中稀疏颗粒运动方程是一非线性的微分积分方程，极难获得解析解。本文首先对方程中Ｂａｓｓｅｔ力项构造了适当的计算格式，然后详细研究了颗粒运动方程的数值计算方法并提出称之为Ｐ（ＥＣ）ｋ多步法的差分格式，简要分析了该格式的收敛性和代数精度，给出了时域离散步长必须满足的条件。最后应用Ｐ（ＥＣ）ｋ格式实际计算均匀流场中和二维无界平板垂直射流驻点区稀疏颗粒的运动，得到了一些有意义的结论，将均匀流的计算结果与其解析解的比较证明了本文数值计算方法的正确性和良好精度。
Since the motion equation of dilute particles in arbitrary flow field is a nonlinear differential and integral equation, it is very hard to get its analytical solution. In this paper, for a computing scheme the Basset force term is constructed and then the numerical method for solving the motion equation of dilute particles is carefully researched for which a difference scheme called P(EC) k multi step method is presented. The convergence and algorithm accuracy of the numerical method are briefly analyzed, and a constraint relation which discrete time step length must satisfy is presented. Finally, the P(EC) k numerical method is applied to calculating the motion of dilute particles in uniform flow and in the 2 D vertical jet stagnant zone towards an unbounded plate, leading to some meaningful conclusions. By comparison of numerical results in the case of uniform flow with the corresponding analytical solutions, one can find they are in good agreement, which proves the high accuracy of the numerical method has very high accuracy.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
1999年第1期51-61,共11页
Chinese Journal of Hydrodynamics
基金
国家自然科学基金
博士后科学基金
关键词
固液两相流
颗粒运动方程
数值方法
稀疏颗粒
solid liquid two phase flow, particles′ motion equation, P(EC) k numerical method.
