非等距网格高精度差分方法用于气动声学问题计算  

High Order Finite Difference Scheme Based on Non-Uniform Meshes for Aeroacoustics Applications

作　　者：罗柏华[1] 王泽晖[1] 刘宇陆[1] 

机构地区：[1]上海大学理学院力学系,上海200436

出　　处：《上海大学学报（自然科学版）》2004年第1期59-63,共5页Journal of Shanghai University:Natural Science Edition

摘　　要：研究了非等距网格下高阶精度有限差分方法用于气动声学问题的可行性.通过Taylor级数展开法构造了不等距网格下的七点六阶精度空间离散格式,分析了格式适用的波数范围,时间积分采用显式四阶精度推进格式,可直接计算非定常欧拉方程用于气动声学问题.算例采用随机变化的网格间距,对一维单波方程和球形波方程进行了计算,验证了非等距网格格式模拟波动问题的能力.对二维情况,计算了亚音速均匀流中初始声、涡和熵脉冲波问题,得到了很好的结果.A high order finite difference scheme is constructed based on non-uniform meshes for aero-(acoustics) applications. The scheme used here is of sixth order (accuracy) in space and fourth order (accuracy) in time. Effectiveness of the scheme is demonstrated by an analysis of its effective wave-(number) range. Its accuracy in simulation of wave motion is demonstrated by a few numerical tests. Direct numerical simulations have been carried out for acoustic, vorticity and density pulses in two-(dimensional) subsonic uniform mean flow. Good results are obtained. These show that the scheme can be a potential method for more complicated aeroacoustics applications.

关 键 词：非等距网格 计算气动声学 高精度差分方法 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程] O422[理学—声学]