二维单周期斯托克斯流奇点阵列靠近壁面的解析解
Analytical solutions for two-dimensional singly periodic Stokes flow singularity arrays near walls
AI总结：
本文研究了二维无滑移通道和靠近无滑移壁面的周期性点奇点阵列引起的斯托克斯流的解析解，通过共形映射和复变量法推导出解决方案，无需使用埃瓦尔德求和等快速求和技术。
摘要：
新解析表示式被推导出来，用于描述二维无滑移通道和靠近无滑移壁面的周期性点奇点阵列所引起的斯托克斯流。分析利用了从同心环（或圆盘）到矩形的共形映射以及斯托克斯流的复变量形式来推导解。所得到的解形式适合快速而准确的数值计算，无需使用埃瓦尔德求和或其他快速求和技术。
英文摘要：
New analytical representations of the Stokes flows due to periodic arrays of point singularities in a two-dimensional no-slip channel and in the half-plane near a no-slip wall are derived. The analysis makes use of a conformal mapping from a concentric annulus (or a disc) to a rectangle and a complex variable formulation of Stokes flow to derive the solutions. The form of the solutions is amenable to fast and accurate numerical computation without the need for Ewald summation or other fast summation techniques.
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