迎风型紧致算法在二维不可压缩粘性流动中的应用

A Study on the Application of the Upwind Compaction Algorithm in the Two-Dimensional Incompressible Viscous Flow

给出一种高精度求解二维不可压缩粘性流动N-S方程的差分算法,该算法对流项具有三阶精度,粘性项具有四阶精度,能精确地求解二维不可压缩粘性流体运动的定常解。同时,用计算机数值计算和图像显示的方法模拟该流体运动压力云与流线图,准确地描述二维不可压缩粘性流动,完成了典型算例。

This paper introduces a high-accuracy difference algorithm for the solution to the two-dimensional incompressible viscous flow N-S equation,which realizes three-order accuracy and four-order accuracy for flow and viscosity items respectively and can be used to reach steady solutions to two-dimensional incompressible viscous equations of fluid motion. Meanwhile,numerical computations and image displays can be used to simulate the pressure cloud and the streamlined diagram of the fluid motion,accurately describe the two-dimensional incompressible viscous flow,and finish typical examples.