应用DCD频散控制激波捕捉格式,求解二维、多组分、带有化学反应的Euler方程组,数值模拟了准定常强激波的马赫反射问题。研究结果表明:与经典马赫反射理论相比,在强激波条件下,激波诱导的气体分子振动激发和化学反应使马赫反射的三波点轨迹角变小、马赫杆高度变低、楔顶附体激波倾角变小;马赫杆的相对突出量随入射激波马赫数和楔角的增大而增大,而气体分子的振动、离解等真实气体效应能进一步加剧马赫杆的向前突出。
The 2-D multi-components Euler equations,implemented with a detailed chemical reaction model,were solved with the dispersion-controlled dissipative (DCD) scheme to simulate the Mach reflection patterns of quasi-steady strong shock waves in this paper. Results demonstrate that molecule vibration excitations and thermo-chemical reactions induced by strong shockwaves result in the smaller triple-point-trajectory angle and attached-shock inclination angle at wedge apex, and lead to the lower Mach stem, comparing it with the classical Mach reflection theory. The relative protrusion of the Mach stems increases as the Mach number of the incident shock wave and wedge angles increase, and the real gas effects, such as vibration excitation and dissociation,intensify this trend.