结合边界条件的截断高阶隐式有限差分方法(英文)     

常锁亮  刘洋 《应用地球物理》2013,10(1):53-62

有限差分方法广泛应用于求解许多科技领域所涉及的偏微分方程,高阶显式有限差分方法通常用来提高求解精度,已经提出的高阶隐式有限差分方法和截断高阶显式有限差分方法可用来进一步提高模拟精度而不增加计算量。本文首先计算了针对常规网格上的一阶导数和二阶导数、交错网格上的一阶导数的有限差分系数,发现高阶隐式有限差分系数中存在一些小的系数。频散分析结果表明:忽略这些小的差分系数能够近似维持有限差分的精度,但是显著减小了计算量。然后,引入镜像对称边界条件来提高隐式有限差分方法的精度和稳定性,采用混合吸收边界条件来减小来自模型边界所不需要的反射。最后,给出了针对均匀和非均匀介质模型的弹性波模拟例子,表明了本文方法的优点。  相似文献   

不整合结构对地层油气藏形成的控制作用研究     

吴孔友  邹才能  查明  高长海 《大地构造与成矿学》2012,36(4):518-524

不整合不仅仅是一个“面”,更是一个“体”,其本身具有较独特的微观组构,即具有“空间结构”属性.通过大量的岩心观察、野外踏勘及测井资料对比解释,纵向上提出不整合结构体的概念,并将其划分为三层结构:结构体上层、结构体中层及结构体下层,其中结构体上层与下层构成储集体,结构体中层形成封盖层,且封盖强度随埋深加大而增加.地层油气...  相似文献   

海洋局域地磁正常场勒让德多项式模型的建立   总被引：3，自引：2，他引：1       下载免费PDF全文

赵建虎  王胜平  刘辉  张彦昌 《地球物理学进展》2008,23(6):1802-1808

研究了利用勒让德多项式构建局部海域地磁正常场模型的方法,给出了一种趋势面地磁数据滤波方法和模型截止阶数的确定方法,研究和分析了参与建模的地磁总强度数据的代表性和密度对地磁正常场模型精度的影响,最后提出了一种分区建模的思想.试验表明分区建模相对整体建模具有较高的精度.  相似文献   

顾及截断偏差影响的TSVD截断参数确定方法     

林东方  朱建军  宋迎春 《测绘学报》2017,46(6):679-688

TSVD通过截断参数截掉较小的奇异值来改善病态性对估计的影响,其本质是通过引入少量偏差来降低方差,以提高估值的稳定性和可靠性。截断参数是影响TSVD解算效果的关键因素,常用的广义交叉核实法(GCV法)和L曲线法未从TSVD改善模型参数估值质量的角度确定截断参数,稳定性和可靠性不足,而最小MSE法理论依据充分但受限于MSE计算的准确性。通过分析TSVD由小到大截掉奇异值后,相应的估值方差与偏差变化,本文提出了引入偏差量小于降低方差量来确定截断参数的思想,并通过估计出较大奇异值截掉后的偏差引入量建立偏差估值可信区间,利用可信区间内偏差估值与方差下降量进行比较,避免较小奇异值截掉后的方差下降量与偏差引入量的直接比较,从而解决参数真值未知截掉较小奇异值引入偏差量难以准确计算的问题。最后通过试验验证了新方法的可行性和有效性,相比于GCV法和L曲线法,新方法确定的截断参数稳定性和可靠性更高,可有效提高TSVD的解算效果。  相似文献   

A GLOBAL SPECTRAL MODEL WITH VARIABLE POLES AND ITS APPLICATION TO THE SHALLOW-WATER EQUATIONS          下载免费PDF全文

Zhao Qigeng 《Acta Meteorologica Sinica》1991,5(2):204-214

Since we find out that the global spectral model with trapezoidal truncation has higher resolution inhigh latitudes(polar cap)than in low latitudes,this paper presents a global spectral model with variablepoles which can be located at the center of interested area.The transform methods from traditional globalspectral model to the new model are given and applied to a shallow-water equation model.The control ex-periments for 72h predictions were carried out.The“northern pole”in the transformed model was locatedat 15°N, 135°E.And the results showed that the predictions of weather systems in the area around the“newpole”(the polar cap,latitudes >60°)were better than those by the traditional model and the root mean squareerrors were improved.  相似文献   

Meissel-Stokes核函数应用于区域大地水准面分析   总被引：1，自引：0，他引：1  

荣敏  周巍  任红飞 《测绘工程》2015,(9):5-10

为提高区域大地水准面计算精度,基于EGM2008地球重力场位系数模型分析Meissel-Stokes核函数、截断误差系数以及截断误差。选取实验区,采用移去-恢复法评价Meissel-Stokes核函数计算大地水准面的精度。结果表明:Meissel-Stokes核函数及其截断误差系数收敛速度快;截断误差小且稳定。在积分半径不易扩展的情况下,应用Meissel-Stokes核函数计算区域大地水准面,比标准Stokes计算大地水准面精度略高。  相似文献   

Particle size truncation effect on the inference of effective particle diameter     

Liu Chunlei  Yao Keya 《大气科学进展》1997,14(3):350-354

The effective ice crystal particle diameter (De) of cirrus clouds can be inferred by comparing the measured radar / lidar backscattering ratio with the theoretically calculated one. The calculated ratios are based upon assump-tions of ice crystal particle density and size distribution, and it will be affected by the artificially assumed particle size ranges. This size truncation effect on the inference of effective particle diameter will be investigated theoretically by assuming the cirrus ice particle spherical and particle density of 0.9g / cm3. Results show that the truncation at large particle end has very small effect on the inference of De , but the truncation at the small particle end will have some ef-fect on the inference of De.  相似文献   

MICAPS中T106分析/预报场的“快照”效果   总被引：2，自引：0，他引：2  

王元  潘益农  李翀  钱余根 《气象》2002,28(1):3-7

围绕日常天气预报的需求和为区域数值天气预报模式定义天气背景场和初值场的需要，针对9210工程的MICAPS系统中T106谱模式的客观分析场和预报场的数据存储及显示中截断误差问题，提出了改进的方案，并定量分析比较了T106、欧洲中心ECMWF、华盛顿KWBC和日本JAPAN数值模式对天气环流形势的“快照”效果和统计误差。  相似文献   

重力数据误差对大地水准面模型建立的影响     

李姗姗  曲政豪 《大地测量与地球动力学》2016,36(10):847-850

基于Stokes理论建立的大地水准面模型,其精度受重力数据误差,即重力数据分辨率、精度以及积分范围的影响。针对这一问题,通过重力场谱特征分析,给出不同地形区域重力数据分辨率以及积分半径造成的大地水准面高频截断误差的量级大小,计算平均重力异常误差对大地水准面建模精度的影响。研究成果对不同地形区域cm级大地水准面模型的建立具有理论与指导意义。  相似文献   

Storm surge simulation along the Meghna estuarine area: an alternative approach   总被引：1，自引：1，他引：0  

PAUL Gour Chandr  SENTHILKUMAR Sukumar  PRIA Rana 《海洋学报(英文版)》2018,37(1):40-49

In this study, numerical prediction of surges associated with a storm was made through the method of lines (MOL) in coordination with the newly proposed RKARMS (4, 4) method for the meghna estuarine region, along the coast of Bangladesh. For this purpose, the vertically integrated shallow water equations (SWEs) in Cartesian coordinates were firstly transformed into ordinary differential equations (ODEs) of initial valued, which were then soloved using the new RKARMS (4, 4) method. Nested grid technique was employed for resolving the complexities of the region of interest with minimum cost. Fresh water discharge through the lower Meghna River was taken into account along the north east corner of the innermost child scheme. Numerical experiments were performed with the severe cyclone on April 1991 that crossed the coast over the study area. Simulated results by the study were found to be in good agreement with some reported data and were found to compare well with the results obtained by the MOL in addition with the classical 4th order Runge-Kutta (RK (4, 4)) method and the standard finite difference method (FDM).  相似文献