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任意形状物体的Stokes绕流问题的数值计算

NUMERICAL CALCULATIONS FOR STOKES-FLOW OVER BODIES WITH ARBITRARY SHAPE

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【作者】 杨德全; 韩庆书;

【Author】 Fang Dequan(Inner Mongolia NationalTeachers’Gnllege) Hart Qingshu(Peking University)

【机构】 内蒙民族师院; 北京大学;

【摘要】 本文研究了绕任意形状物体的Stokes流动,用格林函数方法[1],使问题减少一个维度,数值地计算了边界面上的面力分布,並进一步计算了物体附近绕流区域内的速度场和压力场。对具体算例所计算的结果与[2]中的实验和理论结果相吻合。表明了本方法在处理低雷诺数的绕流问题时的有效性。

【Abstract】 In this paper using Green’s function method numerical calculations for Stokes-flow over bodies with arbitrary shape are presented, the domain of solution is decreased by one dimension and the surface force distribution have been calculated numerically, when the surface force distributions are known. The velocity and pressure fields in the domain near body are determined. Numerical ferules for sample problems are in good agreement with the theoretical curves and the experimental results given in Ref[2]

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