A High Order Accurate Difference Scheme for Complex Flow Fields
A High Order Accurate Difference Scheme for Complex Flow Fields
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DOI：
10.1006/jcph.1996.5492
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发表时间：
1997-06
影响因子：
4.1
通讯作者：
D. Fu;Yanwen Ma
中科院分区：
文献类型：
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作者：
D. Fu;Yanwen Ma
提出了一种直接数值模拟混合层中相干结构的高精度有限差分方法。分析了数值解中产生振荡的原因。它是由波包的不均匀群速度引起的。提出了一种提高激波分辨率的群速度控制方法。数值模拟中，可压缩N-S方程对流项的导数采用五阶精度迎风紧致差分格式逼近，粘性项采用六阶精度对称紧致差分格式逼近，时间推进采用三阶R？K方法。为了提高激波分辨率，采用扩散类比的方法对格式进行改造，控制波包的群速度。
A high order accurate finite difference method for direct numerical simulation of coherent structure in the mixing layers is presented. The reason for oscillation production in numerical solutions is analyzed. It is caused by a nonuniform group velocity of wavepackets. A method of group velocity control for the improvement of the shock resolution is presented. In numerical simulation the fifth-order accurate upwind compact difference relation is used to approximate the derivatives in the convection terms of the compressible N?S equations, a sixth-order accurate symmetric compact difference relation is used to approximate the viscous terms, and a three-stage R?K method is used to advance in time. In order to improve the shock resolution the scheme is reconstructed with the method of diffusion analogy which is used to control the group velocity of wavepackets.