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APPLICATION OF WEIGHTED NONOSCILLATORY AND NON-FREE-PARAMETER DISSIPATION DIFFERENCE SCHEME IN CALCULATING THE FLOW OF VIBRATING FLAT CASCADE
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作者 XIAO Jun GU Chuangang SHU Xinwei 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2007年第6期69-73,共5页
A dual-time method is introduced to calculate the unsteady flow in a certain vibrating flat cascade.An implicit lower-upper symmetric-gauss-seidel scheme(LU-SGS)is applied for time stepping in pseudo time domains,and ... A dual-time method is introduced to calculate the unsteady flow in a certain vibrating flat cascade.An implicit lower-upper symmetric-gauss-seidel scheme(LU-SGS)is applied for time stepping in pseudo time domains,and the convection items are discretized with the spatial three-order weighted non-oscillatory and non-free-parameter dissipation difference(WNND)scheme.The turbulence model adopts q-co low-Reynolds-number model.The frequency specmuns of lift coefficients and the unsteady pressure-difference coefficients at different spanwise heights as well as the entropy contours at blade tips on different vibrating instants,are obtained.By the analysis of frequency specmuns of lift coefficients at three spanwise heights,it is considered that there exist obvious non-linear perturbations in the flow induced by the vibrating,and the perturbation frequencies are higher than the basic frequency.The entropy contours at blade tips at different times display an intensively unsteady attribute of the flow under large amplitudes. 展开更多
关键词 Vibrating cascade Weighted non-oscillatory and non-free-parameter dissipation difference scheme Frequency spectrum of lift coefficient Unsteady pressure-difference coefficient
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基于非均匀参数化的自由终端时间最优控制问题求解 被引量:2
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作者 雷阳 李树荣 +1 位作者 张强 张晓东 《系统科学与数学》 CSCD 北大核心 2012年第3期277-287,共11页
针对自由终端时间最优控制问题,提出了一种基于非均匀控制向量参数化的数值解法.将控制时域离散化为不同长度的时间段,各时间段长度作为新的控制变量.通过引入标准化的时间变量,原问题转化为均匀参数化的固定终端时间最优控制问题.建立... 针对自由终端时间最优控制问题,提出了一种基于非均匀控制向量参数化的数值解法.将控制时域离散化为不同长度的时间段,各时间段长度作为新的控制变量.通过引入标准化的时间变量,原问题转化为均匀参数化的固定终端时间最优控制问题.建立目标和约束函数的Hamilton函数,通过求解伴随方程获得目标和约束函数的梯度,采用序列二次规划(SQP)获得数值解.针对两个经典的化工过程自由终端时间最优控制问题进行仿真研究,验证了所提出算法的可行性和有效性. 展开更多
关键词 自由终端时间 最优控制 非均匀参数化 SQP 化工过程
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