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
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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
期刊:
影响因子:
3.5
通讯作者:
Wu Haiyan
Wu Haiyan
中科院分区:
工程技术3区
文献类型:
--
作者:
Zhao Jiaquan;Li Renfu;Wu Haiyan

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为了表征流场结构以及激波-涡相互作用引起的声波对激波聚焦性能的影响,采用Riemann求解器的二阶HLL格式求解二维非定常Saint-Venant方程组,系统地模拟了抛物腔内入射平面激波与单扰动涡聚焦的情况。模拟结果表明,在无初始涡扰动的情况下,涡度净生成主要是由膨胀效应引起的,而斜压效应则占主导地位。此外,数值模拟还表明,有初始涡时最大聚焦压力随时间的演化比无初始涡时要复杂得多,这与激波-涡相互作用诱导的四极声波结构的存在及其在空腔中的传播有很大关系。在激波和其他扰动参数中,激波马赫数、涡马赫数和抛物面反射器形状对激波聚焦和粘性耗散强度起着关键作用,而这些参数又控制着由气体动力聚焦引起的最大聚焦压力的演化、耗散率的变化以及运动扰动涡与气动聚焦点的重合。
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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