HYMOR: An open-source package for modal, non-modal, and receptivity analysis in high-enthalpy hypersonic vehicles

We present HYMOR (Hypersonic Modal/non-modal, and Receptivity), an open-source computational framework for the linear stability analysis of high-enthalpy hypersonic flows. The toolkit includes MATLAB and Julia implementations and is released under the MIT license. HYMOR provides global modal, non-modal, and receptivity analyses capable of capturing interactions among spatially separated physical mechanisms that are inaccessible to traditional local methods. A shock-fitting formulation is employed to treat the bow shock as a sharp discontinuity, ensuring that the interaction of infinitesimal disturbances with the shock recovers the response predicted by linear interaction analysis. The code also solves the nonlinear equations for base-flow computation and automatically linearizes the resulting discrete operators for the stability analyses. Several thermochemical models are available for the treatment of real-gas effects in high-enthalpy regimes. The numerical implementation is verified against a collection of benchmark cases that demonstrate the accuracy and capabilities of the toolkit across its modal, non-modal, and receptivity analysis modes.我们提出了HYMOR（高超声速模态/非模态与感受性，Hypersonic Modal/non-modal, and Receptivity），这是一款面向高焓高超声速流动线性稳定性分析的开源计算框架。该工具包提供MATLAB与Julia语言的实现版本，并以MIT许可证发布。HYMOR支持全局模态、非模态及感受性分析，可捕捉传统局部方法无法覆盖的空间分离物理机制间的相互作用。研究采用激波拟合格式将弓激波处理为尖锐间断面，确保无穷小扰动与激波的相互作用能够复现线性相互作用分析所预测的响应结果。该代码还可求解基流计算所需的非线性方程组，并自动对稳定性分析所用的离散算子进行线性化处理。工具包内置多款热化学模型，用于处理高焓流动场景下的真实气体效应。本框架的数值实现已通过一系列基准算例验证，这些算例可充分展示该工具包在模态、非模态及感受性分析模式下的精度与性能。