Shock-capturing methods for numerical fluid dynamics are capable of correctly representing the flow conditions across shocks. However, there is no guarantee that the methods remain equally applicable for unsteady problems of shock–disturbance interaction. Based on the results of wide parametric computations, this paper demonstrates an inherent weakness of shock-capturing methods related to an ambiguous station of a stationary shock on a grid cell. To this end, the interaction of stationary shocks of different intensities with elementary waves of acoustic and nonacoustic nature is investigated in a simplified formulation. The computations reveal unpredictable postshock amplitudes of disturbances unless the viscous structure of the shock is sufficiently resolved. A shock resolution criterion and possible cures are suggested and discussed.

用于数值流体动力学的冲击捕捉方法能够正确表示冲击波的流动状况。但是，不能保证这些方法同样适用于震动与扰动相互作用的不稳定问题。基于广泛参数计算的结果，本文证明了与网格单元上固定冲击的模棱两可的站有关的冲击捕获方法的固有弱点。为此，以简化的公式研究了不同强度的固定冲击与声波和非声波基本波之间的相互作用。计算结果表明，除非充分解决了冲击的粘性结构，否则震后震荡的幅度是无法预测的。提出并讨论了减震标准和可能的治疗方法。