IMPLICIT NONLINEAR NORMAL MODE INITIALIZATION:A MULTIGRID APPROACH          下载免费PDF全文

D.R.C.Nair  B.Chakravarty  P.Niyogi 《Acta Meteorologica Sinica》1993,(1)

The implicit nonlinear normal mode initialization (INMI) is applied to a tropical limited area shallow water modelin spherical coordinates.The boundary condition for the INMI scheme is based on the boundary formulation of themodel.The INMI scheme is found to be very efficient in suppressing spurious gravity wave oscillation and providing awell balanced initial data set for the model.The INMI scheme involves solving a number of elliptic type equations withvarying complexity.and hence an efficient numerical technique is required for solving such equations.In order to makeINMI computationally more attractive,we are employing the multigrid method for solving all the elliptic type equationsin the INMI scheme.The numerical procedures for the development of such multigrid solvers are briefly described.  相似文献   

The SOMS model and its application to Lake Neuchâtel     

E. A. H. Zuur  D. E. Dietrich 《Aquatic Sciences - Research Across Boundaries》1990,52(2):115-129

A three-dimensional numerical circulation model (SOMS) based on primitive equations is described. The algorithm, by which Coriolis and vertical diffusion terms are treated implicitly while mass is still conserved exactly (algebraically), is discussed in detail. The model is applied to Lake Neuchâtel (Switzerland), to determine the general circulation under influence of the most prevailing wind.  相似文献   

Development of the instantaneous unit hydrograph using stochastic differential equations     

Sarino  S. E. Serrano 《Stochastic Environmental Research and Risk Assessment (SERRA)》1990,4(2):151-160

Recognizing that simple watershed conceptual models such as the Nash cascade ofn equal linear reservoirs continue to be reasonable means to approximate the Instantaneous Unit Hydrograph (IUH), it is natural to accept that random errors generated by climatological variability of data used in fitting an imprecise conceptual model will produce an IUH which is random itself. It is desirable to define the random properties of the IUH in a watershed in order to have a more realistic hydrologic application of this important function. Since in this case the IUH results from a series of differential equations where one or more of the uncertain parameters is treated in stochastic terms, then the statistical properties of the IUH are best described by the solution of the corresponding Stochastic Differential Equations (SDE's). This article attempts to present a methodology to derive the IUH in a small watershed by combining a classical conceptual model with the theory of SDE's. The procedure is illustrated with the application to the Middle Thames River, Ontario, Canada, and the model is verified by the comparison of the simulated statistical measures of the IUH with the corresponding observed ones with good agreement.  相似文献   

Conditioning of coefficient matrices of Ordinary Kriging   总被引：1，自引：0，他引：1  

R. J. O''Dowd 《Mathematical Geology》1991,23(5):721-739

The solution of a set of linear equations is central to Ordinary Kriging. Computers are commonly applied because of the amount of data and work involved. There has, until recently, been little attention devoted toward the conditioning of kriging matrices. This article considers implications of conditioning upon numerical stability, instead of on robustness which has been the main focus of past work. The effect of properties of the stationary covariance matrix on the conditioning of the kriging matrix is discussed. The relationship between the covariance and autocorrelation functions allows some conclusions about the conditioning of covariance matrices, based on past work in deconvolution. The conditioning of some coefficient matrices of stationary kriging, defined in terms of either the semivariogram or the covariance, is examined.  相似文献   

二维全球气候模式的发展——由对流层向平流层的扩展          下载免费PDF全文

莫文涛  李维亮 《应用气象学报》1994,5(2):158-167

采用Arakawa的σ-p混合坐标，将李维亮等人发展的一个二维全球原始方程模式由对流层扩展到平流层中层(10 hPa)。垂直分层采用等lnp方案。发展后的模式不仅在计算上具有很好的稳定性，而且能较好地模拟平均温度场、平均纬向风场和平均经向风场及其季节性变化。同时，在模式对流层之上加上平流层后改善了对流层上层环流的模拟。  相似文献   

有限元素法全倾角波动方程偏移   总被引：4，自引：1，他引：4       下载免费PDF全文

王尚旭  牟永光 《地球物理学报》1989,(3)

本文试图从两个方面提高波动方程偏移的效果:1.使用全方向波动方程进行偏移,使之适用于任意倾角界面的反射;2.使用有限元素法提高微分方程数值解法的精度。  相似文献   

A review on stochastic differential equations for applications in hydrology     

B. A. Bodo  M. E. Thompson  T. E. Unny 《Stochastic Environmental Research and Risk Assessment (SERRA)》1987,1(2):81-100

Fundamentals of the theory of stochastic calculus and stochastic differential equations (SDE's) which are finding increasing application in water resources engineering are reviewed. The basics of probability theory, mean square calculus and the Wiener, white Gaussian and compound Poisson processes are given in preparation for a discussion of the general Itô SDE with drift, diffusion and jump discontinuity terms driven by Gaussian white noise and compound Poissionian impulses. Also discussed are stochastic integration and the derivation of moment equations via the Itô differential rule. The lierature of SDE's is reviewed with an emphasis on the more accessible sources.  相似文献   

利用二维DLT及光束法平差进行数字摄像机标定   总被引：34，自引：5，他引：34  

张永军  张祖勋  张剑清 《武汉大学学报(信息科学版)》2002,27(6):566-571

利用共线方程和二维DLT之间的对应关系导出了由二维DLT的8个参数表达的主纵线方程式，讨论了主点初值和求解方法，给出了单张像片摄像机参数分解不惟一性及临界序列的证明，详细推导了利用二维DLT参数分解摄像机外方位元素初值的实用算法，论述了利用光束法平差进行摄像机标定的数学模型，实际图像数据实验取得了很好的结果，验证了本文所提出的摄像机标定算法的可行性。  相似文献   

Geoid, topography, and the Bouguer plate or shell   总被引：1，自引：1，他引：1  

P. Vaníc˘ek  P. Novák  Z. Martinec 《Journal of Geodesy》2001,75(4):210-215

 Topography plays an important role in solving many geodetic and geophysical problems. In the evaluation of a topographical effect, a planar model, a spherical model or an even more sophisticated model can be used. In most applications, the planar model is considered appropriate: recall the evaluation of gravity reductions of the free-air, Poincaré–Prey or Bouguer kind. For some applications, such as the evaluation of topographical effects in gravimetric geoid computations, it is preferable or even necessary to use at least the spherical model of topography. In modelling the topographical effect, the bulk of the effect comes from the Bouguer plate, in the case of the planar model, or from the Bouguer shell, in the case of the spherical model. The difference between the effects of the Bouguer plate and the Bouguer shell is studied, while the effect of the rest of topography, the terrain, is discussed elsewhere. It is argued that the classical Bouguer plate gravity reduction should be considered as a mathematical construction with unclear physical meaning. It is shown that if the reduction is understood to be reducing observed gravity onto the geoid through the Bouguer plate/shell then both models give practically identical answers, as associated with Poincaré's and Prey's work. It is shown why only the spherical model should be used in the evaluation of topographical effects in the Stokes–Helmert solution of Stokes' boundary-value problem. The reason for this is that the Bouguer plate model does not allow for a physically acceptable condensation scheme for the topography. Received: 24 December 1999 / Accepted: 11 December 2000  相似文献   

Microhydrodynamics of flotation processes in the sea surface layer     

Marianne Grammatika  William B. Zimmerman   《Dynamics of Atmospheres and Oceans》2001,34(2-4)

The uppermost surface of the ocean forms a peculiarly important ecosystem, the sea surface microlayer (SML). Comprising the top 1–1000 μm of the ocean surface, the SML concentrates many chemical substances, particularly those that are surface active. Important economically as a nursery for fish eggs and larvae, the SML unfortunately is also especially vulnerable to pollution. Contaminants that settle out from the air, have low solubility, or attach to floatable matter tend to accumulate in the SML.Bubbles contribute prominently to the dynamics of air–sea exchanges, playing an important role in geochemical cycling of material in the upper ocean and SML. In addition to the movement of bubbles, the development of a bubble cloud interrelates with the single particle dynamics of all other bubbles and particles. In the early sixties, several in situ oceanographic techniques revealed an “unbelievably immense” number of coastal bubbles of radius 15–300 μm. The spatial and temporal variation of bubble numbers were studied; acoustical oceanographers now use bubbles as tracers to determine ocean processes near the ocean surface. Sea state and rain noises have both been definitively ascribed to the radiation from huge numbers of infant micro bubbles [The Acoustic Bubble. Academic Press, San Diego].Our research programme aims at constructing a hydrodynamic model for particle transport processes occurring at the microscale, in multi-phase flotation suspensions. Current research addresses bubble and floc microhydrodynamics as building blocks for a microscale transport model. This paper reviews sea surface transport processes in the microlayer and the lower atmosphere, and identifies those amenable to microhydrodynamic modelling and simulation. It presents preliminary simulation results including the multi-body hydrodynamic mobility functions for the modelling of “dynamic bubble filters” and floc suspensions. Hydrodynamic interactions versus spatial anisotropy and size of particle clouds are investigated.  相似文献