二维激波斜壁问题的数值研究

1.前言 在数值模拟激波构造时,通常将流体看作理想流体,即对Euler方程用有限差分法求解。有限差分法的优点是通用性强,但将其用于计算激波问题时,会在不连续波面附近产生数值衰减、过冲或欠冲,难以进行精确计算。FCT(Flux-Corrected Transport Method)法是Boris等开发的一种新的计算方法,它能充分发挥有限差分法的长处,可有效地计算激渡问题。但是,能对二维复杂形状的绕流进行数值研究还是在Thompson等

NUMERICAL SIMULATION OF 2-D OBLIQUE SHOCK-WAVE REFLECTIONS

In order to analyse the transport phenomena of obligue shock-wave, 2-D nonstationary obligue shock-wave reflections over compressive wedges in perfect air are investigated by using numerical simulation technigues in this paper. The operator splitting method, the MacCormarck scheme, the FCT modification (instead of the FCT method with the control volume ) and the adaptive grid generation technigues are used in the numerical simulation. The four composed cases in which the shock-wave Mach number (Mas) are 1.027 and 4.0, and the oblique wall angles (w) are 10 and 30 , are calculated. The results show that the three reflection shapes the regular reflection (RR), the simple Mach reflection (SMR) and composite Mach reflection (CMR), obtained by the classical pseudostationary theoretical analysis are in good agreement with the experimental results in references.