Oblique detonation engines have significant potential as air-breathing propulsion units because they can undergo self-ignition while providing high combustion efficiency. A key design aspect of such engines is the formation of a stationary oblique detonation wave in the combustor. In the present work, the re-stabilization of oblique detonation by expansion waves induced using a finite wedge was simulated by solving Euler equations in conjunction with an induction-exothermic kinetics model. The numerical results showed that expansion waves interacting with the subsonic region behind the unstable oblique detonation wave can produce a stationary oblique detonation wave on the wedge by eliminating thermal choking. The initiation position was also found to move downstream with decreases in wedge length, while the location of the expansion waves moved upstream. And the critical locations of expansion waves that re-stabilize and initiate an oblique detonation wave were also proposed. A special field structure that comprising two parts separated by unburned gas was observed at the incident Mach number $M_0=7.5$ when the expansion waves located near initiation critical location. The upper and lower parts comprised the detonation and deflagration fields, respectively. In others, the interaction of expansion waves leads to a smaller total pressure loss, so that is beneficial to improve the performance of oblique detonation engine in theory.

斜爆震发动机具有作为吸气式推进装置的巨大潜力，因为它们可以在提供高燃烧效率的同时进行自燃。这种发动机的一个关键设计方面是在燃烧器中形成静止的倾斜爆震波。在目前的工作中，通过求解欧拉方程并结合感应放热动力学模型，模拟了使用有限楔诱导的膨胀波对斜爆轰的重新稳定。数值结果表明，膨胀波与不稳定斜爆震波后面的亚音速区域相互作用，可以通过消除热阻塞在楔块上产生静止斜爆震波。还发现起始位置随着楔形长度的减小而向下游移动，而膨胀波的位置向上游移动。并提出了重新稳定和引发倾斜爆轰波的膨胀波的关键位置。在入射马赫数处观察到由未燃烧气体分隔的两部分组成的特殊场结构${米}_0=7.5$当膨胀波位于起始临界位置附近时。上部和下部分别包括爆轰场和爆燃场。在其他情况下，膨胀波的相互作用导致总压力损失较小，因此理论上有利于提高斜爆震发动机的性能。