使用边界拟合坐标对任意形状通道内有颗粒流动的二维斯托克斯方程进行数值求解。
Numerical Solution of Two-Dimensional Stokes Equations for Flow with Particles in a Channel of Arbitrary Shape Using Boundary-Conforming Coordinates.
作者信息
Dvinsky A S, Popel A S
机构信息
Creare Incorporated. Hanover, New Hampshire 03755.
Department of Biomedical Engineering, Johns Hopkins University. Baltimore, Maryland 21205.
出版信息
J Comput Phys. 1986 Nov;67(1):73-90. doi: 10.1016/0021-9991(86)90116-6.
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.
提出了一种用于求解多连通域中二维斯托克斯方程的数值格式。该数值方法基于一般曲线坐标系中控制方程的有限差分求解。给出了平面通道中圆形颗粒的几个计算示例；并将结果与已知的解析解进行了比较。所提出的格式适用于任意形状通道中围绕多个任意形状的静止或运动颗粒的流动情况。
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