A theoretical method for solving shock relations coupled with chemical equilibrium and its applications

In this study, a theoretical method is proposed to solve shock relations coupled with chemical equilibrium. Not only shock waves in dissociated flows but also detonation waves in combustive mixtures can be solved. The global iterative solving process is specially designed to mimic the physical and chemical process in reactive shock waves to ensure good stability and fast convergence in the proposed method. Within each global step, the single-variable equations of normal and oblique shock relatio...     

煤油液滴高压蒸发特性

采用真实流体模型描述高压下流体热物理性质的非理想性,并采用状态方程（EoS）法计算多组分高压气-液相平衡及环境气体溶解性,在此基础上建立包含亚临界和超临界两种不同机制的瞬态液滴高压蒸发模型。针对中国新一代高压补燃液氧/煤油发动机,详细研究了煤油液滴在超临界环境下的高压蒸发特性及各因素影响机理。结果表明：高压环境会显著加快液滴温升速率,但弱超临界环境下仍然为相平衡控制的亚临界蒸发状态;只有强超临界环境下才较容易发生扩散控制的超临界蒸发状态。在高压、高温环境下,忽略气相溶解性将导致液滴蒸发速率明显偏小。针对弱超临界环境,温度升高会使液滴蒸发速率单调增加;压力升高则在低温下降低蒸发速率,而在高温下加快蒸发速率。针对强超临界环境,温度升高只提升初始亚临界蒸发阶段的蒸发速率,而超临界蒸发阶段的蒸发速率与环境温度无关;压力升高则同样会提升初始亚临界蒸发阶段的蒸发速率,但会降低超临界蒸发阶段的蒸发速率,此时的总蒸发寿命随压力升高小幅下降。     

热力学非平衡状态下DSMC绝热壁边界的抽样方法

从直接模拟蒙特卡罗仿真DSMC方法的实现途径出发,经过分析推导,给出了一种在考虑分子转动能、振动能等热力学非平衡状态下统计求解绝热壁温的DSMC抽样方法。然后采用锥体外形的算例验证,分析了该方法在实现绝热壁条件时的统计误差。计算结果表明,此种方法能够有效地实现DSMC方法壁面处的绝热壁条件,随着采样步数的增加,其边界条件实现时的统计误差不断降低,该方法收敛后的统计误差可降至0.5%,能够满足工程要求。     

基于混合战略均衡双寡头航空公司定价博弈研究

利用产品差异化理论和博弈理论,建立了双寡头航空公司市场竞争定价的不完全信息静态博弈模型,假定双方经营相同航线、选择相同机型、面临相同旅客,而在产品价格和服务水平方面存在差异性,在文献【1】中证明了这种博弈不存在纯策略均衡,按照纳什均衡解存在性理论,对混合战略均衡进行求证,得出结论：双方价格和服务水平的大小关系一致时,其市场份额和期望利润的关系与之相同;双方两因素关系随机变化时,其市场份额及期望利润同其变化程度有关,即结果不确定。     

Io’s Atmosphere and Surface-Atmosphere Interactions

Our knowledge of Io’s atmosphere has improved dramatically in the last fifteen years, with a wealth of new observational data at millimeter, UV and IR wavelengths, and the development of numerous models describing its horizontal and vertical structure, composition, photochemistry and plasma interaction. Io’s atmosphere is dominantly composed of SO2, present mostly at low-tomid latitudes with column densities of a few 1016 cm⁻² and important (factors of 5-10) longitudinal variations. Minor compounds include SO, S₂, and NaCl. Sublimation equilibrium with SO₂ frost and direct volcanic output coexist to maintain Io’s atmosphere against condensation, photolytic and escape losses.     

用于推进的驻定斜爆轰的基本特征

基于驻定斜爆轰的基本守恒方程、多组元状态方程和考虑化学平衡移动的组元守恒方程，根据本文推导的迭代公式，计算了不同强度的驻定爆轰波后的平衡组分、反应热和绝热指数，讨论了驻定斜爆轰的基本特点、驻定条件和影响驻定的各种因素。     

Distributed online mission planning for multi-player space pursuit and evasion

There are three important roles in evasion conflict: pursuer, target and defender. Pur-suers’ mission is to access targets;targets’ mission is to escape from pursuers’ capture;defenders’ mission is to intercept pursuers who are potentially dangerous to targets. In this paper, a distributed online mission plan (DOMP) algorithm for pursuers is proposed based on fuzzy evaluation and Nash equilibrium. First, an integrated effectiveness evaluation model is given. Then, the details of collaborative mission planning which includes the co-optimization of task distributing, trajectory and corresponding maneuvering scheme are presented. Finally, the convergence and steadiness of DOMP are discussed with simulation results. Compared with centralized mission planning, DOMP is more robust and can greatly improve the effectiveness of pursuing. It can be applied to dynamic scenario due to its distributed architecture.     

Stability and shape analysis of relative equilibrium for three-spacecraft electromagnetic formation

The invariant shapes for close formation flying with inter-craft electromagnetic force ensure several potential space applications. However, the 6-DOF relative equilibrium problem has not been systematically investigated. This paper mainly analyzes the invariant shapes of relative equilibrium for the three-spacecraft electromagnetic formation, and studies the families of invariant shape solutions with real and constant magnetic moments as well as their linear stability. The problem is examined based on the full nonlinear coupled dynamic models for collinear and general triangular configurations. The relative equilibrium conditions are analyzed to determine whether an invariant shape do exist, and the corresponding families of invariant shape solutions are identified for static and spinning configurations respectively. Finally, the linear stability of such invariant shapes is numerically discussed, which have shown that most invariant shapes are unstable and controllable.     

火星进入气体辐射加热研究进展

针对飞行器进入火星大气时气体辐射加热对防热设计带来不确定性，在简述火星探测和气体辐射研究的发展历程的基础上，对火星进入气体辐射加热研究的进展进行综述。首先，针对火星大气环境描述了气体辐射加热的概念和问题由来。其次，重点综述了近年来火星进入气体辐射加热基础模型的数值和试验研究进展，其中包括：热化学非平衡气体动力学、气体辐射特性和辐射传输的计算模型与方法等数值研究；地面测试设备、试验技术和模拟火星大气环境的气体辐射测量与验证等试验研究。再次，综述了流动辐射耦合和后体气体辐射加热等火星进入器设计方面开展的研究。最后，对未来火星进入气体辐射加热研究进行了展望，提出了研究建议。     

一般均衡模型下的税负归宿研究

税负归宿问题因其复杂的传导机制影响着人们对最终税收负担的判断，在局部均衡分析失效的情况下，一般均衡模型是研究税负归宿的更佳方案。基于经典的Harberger模型，运用线性化和逼近技术，讨论了一般均衡框架下的数量求解算法，得到了特定部门资本和劳动用量以及资本价格的微分值，并以此分析了局部要素税的税负归宿以及最终的税收负担。