Numerical investigations on shock wave propagation through a tube with rectangular grooves

Based on the 2D Euler equations, the shock wave propagation through the tube with rectangular grooves was numerically simulated by combining the fifth-order weighted essentially nonoscillatory (WENO) scheme and the adaptive mesh refinement (AMR) technique. The numerical results display the interaction of the incident shock wave with the grooves during its propagation inside the tube as well as its evolution within every single groove, and agree with the existent experimental results by N. Gongora-Orozco, et al. In addition, the numerical results reveal that the phenomena of expansion wave induced by shock wave diffraction and reflected shock wave due to collision appear during the interaction of the incident wave with a single groove. The expansion wave attenuates the incident shock wave, the reflected wave amplifies its intensity, but the attenuation effect dominates the process, resulting in the front intensity decrease of the incident wave in a vibrating way.