流过泰氟隆烧蚀表面的化学非平衡粘性激波层数值研究

本文对有泰氟隆烧蚀的化学非平衡粘性激波层流场进行了数值模拟。应用空间推进与总体迭代相结合的求解方法，采用１９组元、２９种反应的空气—泰氟隆化学反应系统，对化学非平衡粘性激波层流场与泰氟隆壁面烧蚀传热过程进行耦合求解，研究了平衡催化壁和非催化壁条件对粘性激波层烧蚀流场的影响。     

Non‐zero‐sum nonlinear network path interdiction with an application to inspection in terror networks

A simultaneous non‐zero‐sum game is modeled to extend the classical network interdiction problem. In this model, an interdictor (e.g., an enforcement agent) decides how much of an inspection resource to spend along each arc in the network to capture a smuggler. The smuggler (randomly) selects a commodity to smuggle—a source and destination pair of nodes, and also a corresponding path for traveling between the given pair of nodes. This model is motivated by a terrorist organization that can mobilize its human, financial, or weapon resources to carry out an attack at one of several potential target destinations. The probability of evading each of the network arcs nonlinearly decreases in the amount of resource that the interdictor spends on its inspection. We show that under reasonable assumptions with respect to the evasion probability functions, (approximate) Nash equilibria of this game can be determined in polynomial time; depending on whether the evasion functions are exponential or general logarithmically‐convex functions, exact Nash equilibria or approximate Nash equilibria, respectively, are computed. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 139–153, 2017     

三维化学非平衡粘性激波层流场数值模拟

本文通过引进主流贴体坐标 ,将粘性激波层概念推广到三维流场 ,得到了三维粘性激波层方程 ;应用空间推进与总体迭代相结合的求解方法 ,对三维化学非平衡粘性激波层流场进行了数值模拟     

高维非线性电路平衡点稳定性研究

提出了一种新的分析具有分解形式的高维非线性电路平衡点全局渐近稳定的方法.这种方法以矩阵分解为工具,结合平衡点的渐近稳定判据,用分解矩阵的稳定性决定平衡点的全局渐近稳定性.与目前该问题所采用的LIYAPUNOV直接法相比,该方法具有无须判断平衡点的唯一性,判别方法直接明了等优点.电路维数越大时,此方法越有其优势.同时,该方法对于其他形式的非线性系统的分析,也有重要的启发性及应用价值.     

环境参数在线辨识及其在滑翔段制导中的应用

针对助推滑翔导弹,提出基于飞行环境参数在线辨识的滑翔段数值预测校正制导方法。综合考虑大气密度和气动系数对导弹运动的影响,引入滑翔段综合环境参数,利用扩展Kalman滤波方法对综合参数进行在线辨识。基于在线辨识结果,利用渐消记忆递推最小二乘方法在线建立环境参数预测模型,并利用最新辨识结果进行模型的在线修正。设计了纵向和横向制导律,并基于环境参数在线预测模型进行落点预测,以克服飞行环境扰动对落点预测精度的影响。进行了大气密度非定常扰动下的制导仿真,以及密度和气动参数随机扰动下的Monte Carlo仿真。仿真结果表明:环境参数在线预测模型能准确预报飞行环境参数,制导方法对飞行环境扰动具有较强的鲁棒性。     

大区域防空的进化群决策机制研究

大区域防空所涉及的区域广阔,因素众多,其作战计划的制定比较复杂。为解决此问题,提出了一种基于改进德尔菲法的具有进化学习功能的群决策机制,得到了纳什均衡解,使作战方案的制定更加合理,有助于防空作战效能的提高。     

非对称Colonel Blotto博弈模型下的多信道功率分配抗干扰

针对智能干扰条件下传输速率固定的通信系统多信道功率分配问题,建立了非对称Colonel Blotto博弈模型。在完全信息条件下,推导出了各种功率预算约束下通信方和干扰方的等效单信道最优功率分配策略,进而证明了通信方和干扰方存在唯一混合纳什均衡策略,并求得了纳什均衡收益。基于等效单信道最优功率分布,提出了一种多重扫描直接列元素交换算法,可以快速构建多信道混合功率分配矩阵,且相比于线性规划方法,可适应更多的信道数和更广的功率分布范围。通过数值仿真,验证了所提多信道混合功率分配矩阵构造算法的有效性及多信道功率分配策略的最优性。     

多元气体化学爆炸的超压安全泄放设计

压力容器在气液二相共存的情况下 ,采用UNIFAC法预测液相活度系数进行气液平衡计算 ,得到多元系统的气液平衡浓度 ,结合燃爆模拟实验数据 ,对容器危险工况下的超压进行安全泄放设计。     

Equilibrium customer strategies and social–profit maximization in the single‐server constant retrial queue

We consider the single‐server constant retrial queue with a Poisson arrival process and exponential service and retrial times. This system has not waiting space, so the customers that find the server busy are forced to abandon the system, but they can leave their contact details. Hence, after a service completion, the server seeks for a customer among those that have unsuccessfully applied for service but left their contact details, at a constant retrial rate. We assume that the arriving customers that find the server busy decide whether to leave their contact details or to balk based on a natural reward‐cost structure, which incorporates their desire for service as well as their unwillingness to wait. We examine the customers' behavior, and we identify the Nash equilibrium joining strategies. We also study the corresponding social and profit maximization problems. We consider separately the observable case where the customers get informed about the number of customers waiting for service and the unobservable case where they do not receive this information. Several extensions of the model are also discussed. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

高超声速流动计算中LU-SGS隐式算法的应用

在高超声速条件下,对原始LU-SGS格式及其改进方法的收敛速度做了深入的比较分析,目的是进一步更好地将LU-SGS算法用于工程上复杂外形的计算模拟中。二维圆柱,三维钝锥及空天飞机算例的结果表明:对于高超声速粘性流动的计算,粘性项应进行隐式处理;BLU-SGS方法给出的内迭代方式的收敛性优于DP-LUR方法所给出的内迭代方式;LU-SGS算法中雅克比系数矩阵的计算方式对计算量及收敛性影响较大,若采用精确的矩阵形式,则在流动无分离情况下能取得快速收敛的效果,而在含有流动分离的情况,因受稳定性的影响,精确的矩阵形式的收敛表现不及对角近似形式。