The stability of oblique detonation waves (ODWs) is a fundamental problem, and resistance of ODWs against disturbances is crucial for oblique detonation engines in high-speed propulsion. In this work, numerical studies on ODW stability in disturbed flows are conducted using the two-dimensional reactive Euler equations with a two-step induction-reaction kinetic model. Two kinds of flow disturbances are, respectively, introduced into the steady flow field to assess ODW stability, including upstream transient high-pressure disturbance (UTHD) and downstream jet flow disturbance (DJFD) with different durations. Generally, an ODW is susceptible to disturbances at larger wedge angles and stable at smaller wedge angles. In the unstable wedge angle range, different ODW structures and transition patterns are obtained after disturbances, including different locations of the primary triple points, different numbers of the steady triple points on the wave surface, and different transition patterns from the leading oblique shock wave to the ODW. It is found that the primary triple point tends to move upstream for the disturbances that can form a local strong detached bow shock wave near the wedge tip. In contrast, the wave surface and the transition pattern are susceptible to all of the disturbances introduced in this study. Despite the unstable responses of the ODWs to the disturbances, the ODWs can keep standing stability after disturbances, which is beneficial to the propulsion application of ODWs.

中文翻译：

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倾斜爆轰波抗扰性的数值研究

倾斜爆轰波（ODW）的稳定性是一个基本问题，而ODW抵抗干扰对高速推进中的倾斜爆轰发动机至关重要。在这项工作中，使用带有两步感应反应动力学模型的二维反应性Euler方程，对扰动流中的ODW稳定性进行了数值研究。两种流动扰动分别引入稳态流场以评估ODW稳定性，包括持续时间不同的上游瞬态高压扰动（UTHD）和下游射流扰动（DJFD）。通常，ODW在较大的楔角处容易受到干扰，而在较小的楔角处则稳定。在不稳定的楔角范围内，扰动后会获得不同的ODW结构和过渡模式，包括主要三重点的不同位置，波表面上不同数目的稳定三重点以及从前斜向冲击波到ODW的不同过渡方式。发现主要的三点趋向于上游的扰动，这些扰动会在楔形尖端附近形成局部的强分离弓形冲击波。相反，波表面和过渡模式容易受到本研究中引入的所有干扰的影响。尽管ODW对扰动的响应不稳定，但是ODW在扰动后仍能保持站立稳定性，这有利于ODW的推进应用。以及从前倾斜波到ODW的不同过渡方式。发现主要的三点趋于向上游移动，以产生扰动，扰动可在楔形尖端附近形成局部强烈的分离弓形冲击波。相反，波表面和过渡模式容易受到本研究中引入的所有干扰的影响。尽管ODW对扰动的响应不稳定，但是ODW在扰动后仍能保持站立稳定性，这有利于ODW的推进应用。以及从前倾斜波到ODW的不同过渡方式。发现主要的三点趋向于上游的扰动，这些扰动会在楔形尖端附近形成局部的强分离弓形冲击波。相反，波表面和过渡模式容易受到本研究中引入的所有干扰的影响。尽管ODW对扰动的响应不稳定，但是ODW在扰动后仍能保持站立稳定性，这有利于ODW的推进应用。