CNOP-P-based parameter sensitivity for double-gyre variation in ROMS with simulated annealing algorithm

Reducing the error of sensitive parameters by studying the parameters sensitivity can reduce the uncertainty of the model,while simulating double-gyre variation in Regional Ocean Modeling System(ROMS).Conditional Nonlinear Optimal Perturbation related to Parameter(CNOP-P)is an effective method of studying the parameters sensitivity,which represents a type of parameter error with maximum nonlinear development at the prediction time.Intelligent algorithms have been widely applied to solving Conditional Nonlinear Optimal Perturbation(CNOP).In the paper,we proposed an improved simulated annealing(SA)algorithm to solve CNOP-P to get the optimal parameters error,studied the sensitivity of the single parameter and the combination of multiple parameters and verified the effect of reducing the error of sensitive parameters on reducing the uncertainty of model simulation.Specifically,we firstly found the non-period oscillation of kinetic energy time series of double gyre variation,then extracted two transition periods,which are respectively from high energy to low energy and from low energy to high energy.For every transition period,three parameters,respectively wind amplitude(WD),viscosity coefficient(VC)and linear bottom drag coefficient(RDRG),were studied by CNOP-P solved with SA algorithm.Finally,for sensitive parameters,their effect on model simulation is verified.Experiments results showed that the sensitivity order is WD>VC>>RDRG,the effect of the combination of multiple sensitive parameters is greater than that of single parameter superposition and the reduction of error of sensitive parameters can effectively reduce model prediction error which confirmed the importance of sensitive parameters analysis.     

Analytical treatment of air drag and earth oblateness effects upon an artificial satellite

A development of an analytical solution for the motion of an artificial Earth satellite subject to the combined effects of Earth gravity and air drag is presented. The atmospheric model takes into account a linear variation of the density scale height with altitude, the rotation and the oblateness of the atmosphere. The perturbation theory is based upon Lie transforms. The secular and long-periodic terms as well as the short-periodic effects are included in the theory which is valid for small to moderate eccentricities and for all values of the inclination.Belgian National Fund for Scientific Research     

大气能量有效性的研究进展

大气能量有效性一直是大气科学研究中的重要组成部分，在过去的几十年中，得到了长足发展。对大气能量学特别是能量有效性问题的研究进展进行了全面回顾。为了将能量有效性的研究从全球大气整体向局地或区域尺度拓展，针对经典有效位能理论中存在的问题提出了扰动位能的新概念，并初步探讨了其理论和应用问题。在已开展的工作中，利用NCEP/NCAR再分析资料研究了扰动位能的时空结构以及与大气动能之间的联系，取得了很有意义的结果。     

病态模型平差的变分正则化方法

本文对病态模型平差问题进行研究,指出由于模型病态将引起平差结果的摄动,而根据Тихонов的变分正则化理论可构造出一种抗摄动的平差方法.文章通过理论分析和计算实验证明,只要合理的选择正则化参数α,就可使平差结果的均方误差比传统的最小二乘估计小,从而改善平差结果的精度.     

Canonical Floquet theory

Classical Floquet theory is reviewed with careful attention to the case of repeated eigenvalues common in Hamiltonian systems. Floquet theory generates a canonical transformation to modal variables if the periodic matrix can be made symplectic at the initial time. It is shown that this symplectic normalization can always be carried out, again with careful attention to the degenerate case. The periodic modal vectors and canonical modal variables can always be chosen to be purely real. It is possible to introduce real valued action-angle variables for all modes. Physical interpretation of the canonical degenerate normal modal variables are offered. Finally, it is shown that this transformation enables canonical perturbation theory to be carried out using Floquet modal variables.     

非绝热加热对大气局地扰动位能的影响和机理

本文运用统计相关和奇异值分解方法,系统地考察了非绝热加热对大气局地扰动位能的影响特征和机理问题.分析结果表明,热带地区海表温度异常和扰动位能的耦合相关特征与厄尔尼诺和南方涛动变率的关系密切,扰动位能在热带外地区的耦合模态空间型呈现出与北太平洋-北美大气遥相关型极为相似的分布特征.通过进一步考察大气中视热源与扰动位能的耦合特征,发现在低纬地区仍主要反映了厄尔尼诺和南方涛动的影响机制,在热带外地区,视热源异常的耦合模态则表现出与北半球环状模类似的特点,这表明热带外地区大气的局地能量有效性与热带非绝热加热的遥强迫以及局地性热源加热强迫有着极为密切的联系.     

声波全波形反演目标函数性态

地震波传播的复杂性所引起的地震反演中强烈的非线性问题是目前全波形反演在技术上遇到的最大难题,了解全波形反演中不同的目标函数随不同物性参数的不同摄动尺度的变化性态,对选择合理的反演方法和反演策略具有重要意义.本文参照Jannane等对波形反演目标函数性态的分析方法,通过变密度声波方程,分析了多种地震数据子集的不同目标函数随物性参数的摄动尺度的变化关系,重点分析了它们的非线性程度,为进行分步骤、分尺度全波形反演方法和反演策略的选择提供了理论指导.     

叠前共炮点道集的奇性反演研究

讨论了地震波场的Fourier积分算子奇性反演理论与方法,得出常数背景假设条件下二维共炮点道集奇性反演的解析表达式．构造了两个理论地震模型,分别进行二维有限差分正演与奇性反演的数值计算将二维Fourier积分算子奇性反演方法用于野外的二维地震勘探叠前共炮点记录．在勘探范围内,当介质波速变化相对背景波速符合小扰动假设时,理论模型与实际地震数据的计算结果表明这种奇性反演方法的有效性和实用性     

条件非线性最优扰动方法在适应性观测研究中的初步应用

针对适应性观测中敏感性区域的确定问题,考虑初始误差对预报结果的影响, 比较了条件非线性最优扰动(CNOP)与第一线性奇异向量(FSV)在两个降水个例中的空间结构的差异,考察了它们总能量范数随时间发展演变的异同。结合敏感性试验的分析,揭示了预报结果对CNOP类型的初始误差的敏感性要大于对FSV类型的初始误差的敏感性,因而减少初值中CNOP类型误差的振幅比减少FSV类型的收益要大。这一结果表明可以把CNOP方法应用于适应性观测来识别大气的敏感区。关于将CNOP方法有效地应用于适应性观测所面临的挑战及需要采取的对策等也进行了讨论。     

有关沿岸山地俘获波的研究

在采用线性化的浅水方程组并假设地形坡度沿山脉走向不变的情况下,本文对具有底面地形坡度的沿岸山地俘获波作了研究,结果表明,当底面地形缓变时,可用摄动法得到沿岸山地俘获波的结构,此时零级近似为经典Kelvin波解,一级近似体现了Rossby变形半径内的底面地形对经典Kelvin波解的修正;直至一级近似,沿岸山地俘获波仍是非频散的。在沿岸处当底面地形坡度平缓时,沿岸山地俘获波表现为Kelvin波结构,此时扰动位势高度最大值出现在沿岸;而当底面地形坡度陡峭时,其表现为修正Kelvin波结构,此时扰动位势高度最大值偏离沿岸,在沿岸则扰动位势高度相对为低值,而在沿岸外侧则有位势高度的高值。在沿岸底面地形高度越高,地形坡度越大,扰动位势高度廓线的变化就越剧烈。