Investigate the shock focusing under a single vortex disturbance using 2D Saint-Venant equations with a shock-capturing scheme
Investigate the shock focusing under a single vortex disturbance using 2D Saint-Venant equations with a shock-capturing scheme
复制标题
使用二维圣维南方程和冲击捕获方案研究单个涡旋扰动下的冲击聚焦
DOI:
10.1016/j.actaastro.2017.11.040
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发表时间:
2018-02
影响因子:
3.5
通讯作者:
Wu Haiyan
中科院分区:
文献类型:
--
作者:
Zhao Jiaquan;Li Renfu;Wu Haiyan
In order to characterize the flow structure and the effect of acoustic waves caused by the shock–vortex interaction on the performance of the shock focusing, the incident plane shock wave with a single disturbance vortex focusing in a parabolic cavity is simulated systematically through solving the two-dimensional, unsteady Saint-Venant equations with the two order HLL scheme of Riemann solvers. The simulations show that the dilatation effect to be dominant in the net vorticity generation, while the baroclinic effect is dominate in the absence of initial vortex disturbance. Moreover, the simulations show that the time evolution of maximum focusing pressure with initial vortex is more complicate than that without initial vortex, which has a lot of relevance with the presence of quadrupolar acoustic wave structure induced by shock-vortex interaction and its propagation in the cavity. Among shock and other disturbance parameters, the shock Mach number, vortex Mach number and the shape of parabolic reflector proved to play a critical role in the focusing of shock waves and the strength of viscous dissipation, which in turn govern the evolution of maximum focusing pressure due to the gas dynamic focus, the change in dissipation rate and the coincidence of motion disturbance vortex with aerodynamic focus point.
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