计算物理 ›› 1990, Vol. 7 ›› Issue (3): 257-267.
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曹念铮, 游仁然, 陈耀松
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Cao Nianzheng, You Renran, Chen Yaosong
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摘要： 本文提出一种数值求解振荡及非定常Stokes流动的边界元方法。首先得到了二维和三维情况下的基本解,然后推导相应的Green公式、压力表达式和积分方程。对于二维情况,准确积出了本块对本块的影响系数。最后数值求解了一个有准确解的算例,得到的数值解与准确解吻合得很好。
关键词: 非定常流, stokes流, 边界元法
Abstract: Using BEM to solve vibrating or unsteady Stokes flow is very attractive. At first we derive the Green functions for 2D and 3D. Then we deduce the relative formula, the explicit expression for pressure and the boundary integral equation. The integral equation is discretized into a set of linear algebric equations. In the case of 2D, the influence coefficients of the segment to itself are integrated analytically. In order to check such BEM, an example with analytical solution already exists is solved numerically. The result shows that the method based upon our Green functions is perfect.
Key words: unsteady flow, Stokes flow, boundary element method
曹念铮, 游仁然, 陈耀松. 求解振荡及非定常Stokes流动的边界元方法[J]. 计算物理, 1990, 7(3): 257-267.
Cao Nianzheng, You Renran, Chen Yaosong. GREEN FUNCTIONS USED FOR STUDYING UNSTEADY STOKES FLOW[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1990, 7(3): 257-267.
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