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1Standing window of oblique detonation with pathological behaviour显示文摘Standing of an Oblique Detonation Wave(ODW)on a wedge within combustor is the prerequisite of thrust generation for ODW engine which is regarded as a novel and conceptual propulsion device with hypersonic flight Mach number.Usually a standing window of ODW is defined as the wedge angle ranged from the ODW detached angle from wedge(upper limit)to the angle that a Chapman-Jouguet(CJ)detonation occurs(lower limit).For pathological detonation cases,however,the CJ detonation cannot be achieved,and thus the lower limit of the standing window of ODW should be revisited.In present study,two types of reactions in hypersonic incoming flow that include the behavior of pathological detonation,that is,the single-step irreversible reaction with mole variation and the two-step irreversible reactions with exothermic process followed by endothermic process,have been used for studying standing behavior of ODW.The steady detonation polar analysis of ODW is carried out for both reaction systems.The results reveal that the reaction with more mole decrement and the reactions with stronger endothermic process show the pathological detonation feature and therefore modify the lower limit of standing window of ODW.Three equivalent parameters are proposed to quantitatively measure the standing window range of ODW from points of view of thermodynamics,Mach number of incoming flow and heat effect of reactions.It is found that the standing window of ODW is determined by the specific heat ratio,the overdrive degree of detonation and the endothermic level of the hypersonic incoming flow,regardless of whether the detonation is pathological or not.Zhuo XU Gang DONG Zhenhua PAN Mingyue GUI 2021Chinese Journal of Aeronautics2021,34,5:0
2基于映射函数的新型五阶WENO格式显示文摘研究高精度和高分辨率的差分格式对于复杂流场的数值模拟有重要意义。为了克服WENO-JS格式和WENO-Z在通量函数的一阶和二阶极值点处降阶的缺陷,基于重构权重系数的思想,设计一族映射函数并应用到五阶WENO格式中。近似色散关系表明,WENO-Pe的色散误差和数值耗散均小于WENO-JS、WENO-Z以及其他基于映射函数的WENO格式。新格式与其他格式数值模拟变形的高斯波问题,Sod激波管、Lax激波管、激波密度干扰问题等一维算例,Riemann问题、Rayleigh-Taylor不稳定性问题、双马赫反射问题等二维算例的结果表明:在精度阶相同的情况下,WENO-Pe格式拥有更良好的捕捉间断能力,分辨率更高,适合应用于复杂流场的数值模拟。刘博 李诗尧 陈嘉禹 程启豪 时晓天 2022航空学报2022,43,12:0
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