超声速流场的流线-特征线坐标变换与应用

推进技术 ›› 2017, Vol. 38 ›› Issue (5): 1016-1022.

超声速流场的流线-特征线坐标变换与应用

施崇广,李怡庆,韩伟强,尤延铖

厦门大学航空航天学院，福建厦门 361005,厦门大学航空航天学院，福建厦门 361005,厦门大学航空航天学院，福建厦门 361005,厦门大学航空航天学院，福建厦门 361005

发布日期:2021-08-15
作者简介:施崇广，男，硕士生，研究领域为高超声速气体动力学。E-mail: chongguang.shi@qq.com 通讯作者:尤延铖，男，博士，教授，研究领域为高超声速推进系统设计。
基金资助:
国家自然科学基金(51276151；91441128)；国防基础科研(B1420133058)；中央高校基本科研业务费

Conversion and Application of Streamline-Characteristic Coordinate System Conversion in Supersonic Flows

School of Aerospace Engineering，Xiamen University，Xiamen 361005，China,School of Aerospace Engineering，Xiamen University，Xiamen 361005，China,School of Aerospace Engineering，Xiamen University，Xiamen 361005，China and School of Aerospace Engineering，Xiamen University，Xiamen 361005，China

Published:2021-08-15

摘要/Abstract

摘要： 为了求解二维平面弯曲激波波后流场，讨论并发展了一系列基于流线-特征线坐标系变换的流场代数计算方法。该系列方法依据二维平面流场中气流角、静压沿特征线近似不变的特点，可快速求解平面弯曲激波波后流场。其中，等气流角近似法适合模拟流线轨迹，等静压近似法适合求解波后流场参数。在此基础上，又提出了一种改进的等气流角-等静压混合方法用于计算弯曲激波波后流场。和特征线法对比，等气流角-等静压混合法计算得到的流场基本特征与特征线法得到的结果相同，在来流马赫数Ma=6和Ma=4情况下误差分别仅为0.5%和0.15%，证实了该方法在求解二维平面弯曲激波流场中的适用性。

关键词: 弯曲激波；坐标变换；超声速流场；特征线；流线

Abstract: In order to solve the two-dimensional planar flowfield behind the curved shock，a series of algebraic methods are acquired at the streamline-characteristic coordinate system. The main idea is that flow angle and static pressure are approximately constant along each characteristic line. In contrast to the Method of Characteristics，the method of constant flow angle is good at calculating the streamline trajectory while the method of constant static pressure is proper for solving the flowfield parameters. A combined method named MCFP，Method of Constant Flow-angle and Pressure，is afterwards proposed to better solve the two-dimensional planar flowfield behind the curved shock. For a relatively large Mach number range，the flowfield calculated by the MCFP method is in good agreement with the MOC's. The error at incoming Mach number 6 is 0.5% and the error at incoming Mach number 4 is 0.15%，which demonstrates the applicability of the MCFP method.

Key words: Curved shock waves；Coordinate conversion；Supersonic flowfield；Characteristics；Streamlines

施崇广,李怡庆,韩伟强,尤延铖. 超声速流场的流线-特征线坐标变换与应用[J]. 推进技术, 2017, 38(5): 1016-1022.

SHI Chong-guang,LI Yi-qing,HAN Wei-qiang,YOU Yan-cheng. Conversion and Application of Streamline-Characteristic Coordinate System Conversion in Supersonic Flows[J]. Journal of Propulsion Technology, 2017, 38(5): 1016-1022.

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