多个淹没水平圆柱诱发高阶谐波特性的数值与试验研究     

李庆昕  宁德志  滕斌 《海洋学报》2017,39(1):96-103

基于势流理论采用时域高阶边界元方法建立了模拟非线性波浪与淹没水平双、三圆柱作用的数值水槽模型,其中采用混合欧拉-拉格朗日方法更新自由水面,四阶Runga-Kutta方法进行时间步进。利用两点法分离得到潜体下游高阶自由波,进而研究潜体间距、布置形式等对高倍频自由波的影响。同时在物理水槽内开展多潜体高阶谐波物理模型试验,并将试验结果与数值结果进行对比,吻合较好。研究发现:淹没双圆柱下游高阶谐波幅值随潜体间距呈现周期性振荡变化,其振荡的重现距离约为波长一半。而淹没三圆柱下游的高阶谐波随第一个间距呈周期性振荡变化,随第二个间距的增大而减小。  相似文献   

考虑雷暴活动的全球近地稳态大气电场的精确数学解          下载免费PDF全文

柳士俊  周小刚 《地球物理学报》2009,52(6):1451-1456

全球大气电模式是指大气和地表构成的闭合回路,其中考虑雷暴为主要充电电源,并将雷暴作为一个垂直电偶极子来考虑.本文从电流连续方程出发,采用球谐函数展开法,边界条件采用下边界为地表大气电势,上边界为电离层底部电势,非齐次电流源函数项采用垂直偶极子假设.通过所做的非线性函数变换,得出了考虑雷暴活动的全球电模式的近地稳态解析解,并证明其能展开为有限多项式级数之和.所得结论与过去的理论分析结果和实验观测是一致的.该文的工作是对以前相关工作仅能得到近似解的一种改进,同时本文所得公式可用于今后对大气电参量进行相关的数值计算及模拟之中.  相似文献   

基于Clenshaw求和法的重力场元计算     

赵德军  吴晓平 《海洋测绘》2004,24(6):13-15,26

重力场计算中,经常需要计算以有限阶球谐级数表示的重力场元。常规计算中除需存储(N 1)^2个系数值外,还需迭代计算出(N 2)(N 1)／2个完全正常化勒让德函数值。Clenshaw求和法不需要计算单个球谐函数值而直接计算级数和,因而计算速度上有所提高。总结了球谐函数的零阶导数级数和,并推导了一阶导数级数和。通过数值试验,对于任意点的重力场元,使用C1enshaw求和法计算零阶导数球谐函数和比常规方法节省一半的时间,一阶导数球谐函数之和的计算速度提高幅度不大,并分析了其中的原因。  相似文献   

Spectral–finite element approach to three-dimensional electromagnetic induction in a spherical earth     

Zden&#;k Martinec 《Geophysical Journal International》1999,136(1):229-250

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An analysis of vertical deflections derived from high-degree spherical harmonic models   总被引：5，自引：4，他引：1  

C. Jekeli 《Journal of Geodesy》1999,73(1):10-22

The theoretical differences between the Helmert deflection of the vertical and that computed from a truncated spherical harmonic series of the gravity field, aside from the limited spectral content in the latter, include the curvature of the normal plumb line, the permanent tidal effect, and datum origin and orientation offsets. A numerical comparison between deflections derived from spherical harmonic model EGM96 and astronomic deflections in the conterminous United States (CONUS) shows that correcting these systematic effects reduces the mean differences in some areas. Overall, the mean difference in CONUS is reduced from −0.219 arcsec to −0.058 arcsec for the south–north deflection, and from +0.016 arcsec to +0.004 arcsec for the west–east deflection. Further analysis of the root-mean-square differences indicates that the high-degree spectrum of the EGM96 model has significantly less power than implied by the deflection data. Received: 9 December 1997 / Accepted: 21 August 1998  相似文献   

World Geodetic Datum 2000   总被引：7，自引：1，他引：6  

E. W. Grafarend  A. A. Ardalan 《Journal of Geodesy》1999,73(11):611-623

 Based on the current best estimates of fundamental geodetic parameters {W ₀,GM,J ₂,Ω} the form parameters of a Somigliana-Pizzetti level ellipsoid, namely the semi-major axis a and semi-minor axis b (or equivalently the linear eccentricity ) are computed and proposed as a new World Geodetic Datum 2000. There are six parameters namely the four fundamental geodetic parameters {W ₀,GM,J ₂,Ω} and the two form parameters {a,b} or {a,ɛ}, which determine the ellipsoidal reference gravity field of Somigliana-Pizzetti type constraint to two nonlinear condition equations. Their iterative solution leads to best estimates a=(6 378 136.572±0.053)m, b=(6 356 751.920 ± 0.052)m, ɛ=(521 853.580±0.013)m for the tide-free geoide of reference and a=(6 378 136.602±0.053)m, b=(6 356 751.860±0.052)m, ɛ=(521 854.674 ± 0.015)m for the zero-frequency tide geoid of reference. The best estimates of the form parameters of a Somigliana-Pizzetti level ellipsoid, {a,b}, differ significantly by −0.39 m, −0.454 m, respectively, from the data of the Geodetic Reference System 1980. Received: 1 February 1999 / Accepted: 31 August 1999  相似文献   

基于接收函数约束的川滇地区莫霍面深度反演研究          下载免费PDF全文

张杰  杨光亮  谈洪波  吴桂桔  王嘉沛 《地球物理学报》2020,63(7):2579-2591

本文利用川滇地区宽频地震接收函数结果和WGM2012全球布格重力场模型数据,采用正则化参数和接收函数结果交叉验证得到最优莫霍面参考深度和上下界面密度差,使用基于球坐标系下的快速非线性重力反演方法建立川滇地区莫霍面深度模型.研究结果显示,川滇地区整体莫霍面深度介于30～69km,青藏高原内部地区莫霍面深度大于50km;四川盆地莫霍面深度在36～38km;攀枝花地区莫霍面出现明显的隆起和下凹,变化范围在42～48km;川滇菱形地块莫霍面深度在40～50km;滇西和滇南地块莫霍面深度由南向北逐渐变深,变化范围在38～44km.本文反演莫霍面深度与接收函数结果平均误差为0.18km,与该区域天然地震层析成像、人工地震探测以及重力数据反演结果基本一致,但细节更加丰富,进一步确认了莫霍面在攀西裂谷地区存在隆起,小江断裂带下方存在下凹的特征.该结果可作为精细化川滇地区地壳密度界面模型,为研究该地区岩石圈结构和地质构造演化提供参考.  相似文献   

Simulating fundamental and higher harmonic VIV of slender structures     

《Applied Ocean Research》2019

Vortex-induced vibrations (VIV) of slender marine structures are complicated response processes, where a number of distinct frequency components might be simultaneously active. These are categorized as fundamental and higher harmonics respectively, where the latter can have a tremendous impact on the fatigue life. The present work proposes a method for time domain simulation of such multi-frequency response, by introducing a higher harmonic load term to a pre-existing semi-empirical hydrodynamic force model. Forced motion tests of a circular cylinder were simulated to experimentally and qualitatively validate the fluid-structure energy transfer. Next, the model was used to predict the response of a tension dominated riser in uniform current, for 22 velocities in the range 0.3 m/s to 2.4 m/s. The empirical input was chosen to give an average best fit with respect to the cross-flow strain measurements, which allowed dominating frequencies, fatigue damage, higher harmonics and response variability to be predicted with a high level of realism. Same set of empirical coefficients was subsequently used to predict VIV of three additional flexible pipe experiments in uniform flow, with significant differences in structural properties. The results were satisfactory for all cases, but could be improved by moderate changes to the empirical input.  相似文献   

EGM96与EGM2008地球重力场模型精度比较   总被引：5，自引：0，他引：5  

刘晓刚  邓禹  叶修松  吴杉 《海洋测绘》2010,30(2):55-57

给出了由地球重力场模型计算重力异常和垂线偏差的公式,利用36阶、360阶EGM96、EGM2008地球重力场模型计算了国内某地区格网点重力异常和地面垂线偏差,并将其与实测数据进行比较,从而对这两种模型的精度进行了分析和比较。结果表明,在表示国内某地区格网点重力异常时,EGM2008模型精度较高;在表示地面垂线偏差时,两种模型的精度相当。  相似文献   

Non- adiabatic State and Heat Energy Release in the Interior of the Earth     

Chen Dianyou 《世界地质(英文版)》2000,3(1)

The latest results from the earth sciences indicated that the movement of the earth surface substances has a close relationship with the energy exchanges on large scale occurred in the margin between the core and mantle. There is a tendency towards the average temperature evolution of the earth dynamic system from higher to lower on the whole. And more and more evidence showed that the interior of the earth is in a non - adiabatic state, the cooling process occurred in the interior exerted a great influence on the surface environment. The development of the heat energy resources from the interior of the earth would result in the long term accelerating cooling though it may increase the surface temperature temporarily.  相似文献