Numerical Solution of Two-Dimensional Stokes Equations for Flow with Particles in a Channel of Arbitrary Shape Using Boundary-Conforming Coordinates

利用边界协调坐标求解任意形状通道内含颗粒流动的二维斯托克斯方程数值解

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Abstract

A numerical scheme is proposed for the solution of two-dimensional Stokes equations in a multiconnected domain. The numerical procedure is based on a finite-difference solution of the governing equations in general curvilinear coordinates. Several examples of calculations are presented for a circular particle in a plane channel; the results are compared to known analytical solutions. The proposed scheme is applicable to the eases of flow around multiple stationary or moving particles of arbitrary shape in channels of arbitrary shape.

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