容量矩阵法在涡方法中的应用

本文将容量矩阵技术与快速Fourier变换相结合求解非矩形域的Poisson方程,再与格子涡方法相结合,发展了一套求解复杂外形的快速涡方法。作为算例,计算了有厚度平板和楔形体的分离流动,得到了满意的结果。特别是在垂直平板绕流中,模拟出了由于剪切层不稳定性引起的小涡结构。

APPLICATION OF CAPACITANCE MATRIX METHOD IN VORTEX METHOD

A fast vortex method for solving complex irregualr regions is developedin the present paper, using combination of capacitance matrix technique(CMT), fast Fourier transforms (FFT) as well as vortex-in-cell method (VIC). Using this fast solver, separated flows about a plat flate normal to incoming flow with any thickness and a wedge are, impulsed or accelerated motion from rest, computed at high Reynolds numbers. Expecially, the fine field patterns are obtained around the plat flate flow. Due to Kelvin-Helmholtz in stability the shear layer from edge of flat plate are rolled up a number of discreted small vortices. This phenomenon has been simulated successfully.