Some Splitting Methods for Equations of Geophysical Fluid Dynamics   总被引：2，自引：0，他引：2  

Ji Zhongzhen  Wang Bin 《大气科学进展》1995,12(1):109-113

In this paper, equations of atmospheric and oceanic dynamics are reduced to a kind of evolutionary equation in operator form, based on which a conclusion that the separability of motion stages is relative is made and an issue that the tractional splitting methods established on the physical separability of the fast stage and the slow stage neglect the interaction between the two stages to some extent is shown. Also, three splitting patterns are summed up from the splitting methods in common use so that a comparison between them is carried out. The comparison shows that only the improved splitting pattern (ISP) can be in second order and keep the interaction well. Finally, the applications of some splitting methods on numerical simulations of typhoon tracks made clear that ISP owns the best effect and can save more than 80% CPU time.  相似文献   

An Improved Splitting Method   总被引：3，自引：0，他引：3  

Wang Bin  Ji Zhongzhen 《大气科学进展》1993,10(4):447-452

In this paper, an improved splitting method, based on the completely square-conservative explicit difference schemes, is established. Not only can the time-direction precision of this method be higher than that of the traditional splitting methods but also can the physical feature of mutual dependence of the fast and the slow stages that are calculated separately and splittingly be kept as well. Moreover, the method owns an universality, it can be generalized to other square-conservative difference schemes, such as the implicit and complete ones and the explicit and instantaneous ones. Good time benefits can be acquired when it is applied in the numerical simulations of the monthly mean currents of the South China Sea.  相似文献   

THE INSTABILITY OF TRAJECTORY AND ERROR GROWTH^*          下载免费PDF全文

Li Zhijin  Ji Liren 《Acta Meteorologica Sinica》1994,8(4):392-402

The purpose of this paper is to study the dynamical mechanism of error growth in the numerical weather prediction.The error is defined in the sense of generalized energy,simply called energy error.From the spectral form of the primitive equations,we have derived the evolution equations of error in detail.The analyses of these equations have shown that the error growth rate is determined by the tangent linear equations.The nonlinear advection caused by the error perturbation itself contributes nothing to the error growth rate,and only redistributes the error.Furthermore,an approach to calculation of the error growth rate has been developed,which can also be used to study the local instability of time-independent basic state as well as time-dependence basic state.This approach is applied to well-known Lorenz's system,and the results are indicative of the correctness and significance of the theoretical analyses.  相似文献   

Efficient Anomalous Forcings for Linear Problems     

Li Zhijin  Ji Liren 《大气科学进展》1994,11(4):436-446

For linear forcing problems, a method is developed to provide a set of forcing modes which form a complete orthonormal basis for the finite-time response to steady forcing in the energy inner product space. The forcing modes are found by calculating eigenvectors of a positive definite and symmetric matrix determined from given equations of motion. The amplitude of responses to forcing modes is given in terms of the associated eigenvalues. This method is used in a nondivergent barotropic model linearized about the 300 hPa zonally-varying climatological flow both for northern summertime and wintertime. The results show that the amplitude of response varies considerably with different forcing modes. Only a few of forcing modes associated with the leading eigenvalues, called efficient forcing mode, can excite significant response. The efficient forcing modes possess highly localized spatial structure with wavetrain appearance. Most of the efficient forcings are located to the south of regions of the jet cor  相似文献   

Experimental Studies on Elasticities of Forsterite-Enstatite Composites:Towards an Understanding of the Rules of Mixture     

Ji Shaocheng  Wang ZichaoDepartment of Geology  University of Montreal  Montreal  Quebec  HC J  Canada Institute of Geology  China Seismological Bureau  P.O. Box  Beijing  China 《中国地震研究》1998,(3)

Which rule of mixture is the best for predicting the overall elastic properties of polyphase rocks based on the elastic properties and volume fractions of their constituents? In order to address this question, we sintered forsterite-enstatite polycrystalline aggregates with a varied forsterite volume fraction (0, 0.2, 0.4, 0.5, 0.6, 0.8, and 1.0). Elastic properties (shear, bulk, and Young's moduli) of these synthesized composites were measured as a function of pressure up to 3.0 GPa in a liquid-medium piston-cylinder apparatus using a high-precision ultrasonic interferometric technique. The experimental data can be much better described by the shear-lag model than by the commonly used simple models such as Voigt, Ruess and Hill averages, Hashin-Shtrikman bounds, Ravichandran bounds, Halpin-Tsai equations, and Paul's calculations. We attributed this to the fact that the elastic interaction and stress transfer between phases are neglected in all the models except for the shear-lag model. In particular, t  相似文献   

Multispectrum Method and the Computation of Vapor Equation     

Ji Zhongzhen  Wang Bin 《大气科学进展》1997,14(4):563-568

ＭｕｌｔｉｓｐｅｃｔｒｕｍＭｅｔｈｏｄａｎｄｔｈｅＣｏｍｐｕｔａｔｉｏｎｏｆＶａｐｏｒＥｑｕａｔｉｏｎ①ＪｉＺｈｏｎｇｚｈｅｎ（季仲贞）ａｎｄＷａｎｇＢｉｎ（王斌）ＬＡＳＧ，ＩｎｓｔｉｔｕｔｅｏｆＡｔｍｏｓｐｈｅｒｉｃＰｈｙｓｉｃｓ，ＣｈｉｎｅｓｅＡ...  相似文献   

Atmosphere-Ocean Coupling Schemes in a One-Dimensional Climate Model     

Ji jinjun 《大气科学进展》1989,6(3):275-288

In this paper, the coupling schemes of atmosphere-ocean climate models are discussed with one-dimensional advection equations. The convergence and stability for synchronous and asynchronous schemes are demonstrated and compared.Conclusions inferred from the analysis are given below. The synchronous scheme as well as the asynchronous-implicit scheme in this model are stable for arbitrary integrating time intervals. The asynchronous explicit scheme is unstable under certain conditions, which depend upon advection velocities and heat exchange parameters in the atmosphere and oceans. With both synchronous and asynchronous stable schemes the discrete solutions converge to their unique exact ones. Advections in the atmosphere and ocean accelerate the rate of convergence of the asynchronous-implicit scheme. It is suggusted that the asynchronous-implicit coupling scheme is a stable and efficient method for most climatic simulations.  相似文献   

RESPONSE OF TROPICAL ATMOSPHERIC CIRCULATION TO THE OCEAN-LAND SURFACE HEATING——AN ANALYTICAL SIMULATION          下载免费PDF全文

Ji Zhengang  Chao Jiping 《Acta Meteorologica Sinica》1989,3(2):119-131

A linear steady model is constructed to investigate the response of the tropical atmosphere to diabaticheating.The basic equations are similar to those used by Gill(1980),but the long-wave approximationis removed and periodic boundary conditions are taken in longitude.According to the features of theunderlying surface temperature(including oceans and land),the heat sources(sinks)are given.Using thisanalytical model,we have simulated the climatological fields of wind and air pressure in the lower layersof the tropical and subtropical atmosphere in summer(June—August)and winter(December—February).The main features of observations are depicted in simulated fields.  相似文献   

CHARACTERISTICS OF THE SURFACE AND ATMOSPHERIC HEATING FIELDS OVER QINGHAI-XIZANG PLATEAU FOR THE PERIOD FROM AUGUST 1982 TO JULY 1983   总被引：2，自引：1，他引：2  

Ji Guoliang  Pu Ming 《Acta Meteorologica Sinica》1989,3(2):228-241

The surface and atmospheric heating fields over the Qinghai-Xizang Plateau are computed by using theobservational data of solar radiation during 1982—1983.The mian results are as follows:The central andnorthern parts of the Plateau act as heat sinks in winter from November to January.Both eastern and south-ern parts of the Plateau are of heat sources.In summer,the main part of the Plateau acts as a strong heatsource,and the center of the heating field is in the southeastern Plateau.However the main part of thePlateau acts as a heat sink for the atmospheric heating fields from October to March.The maximum intensityof the atmospheric heat sink over the central Plateau appears in December and January.From April toSeptember,the main part of the Plateau acts as a heat source for the atmospheric heating fields.  相似文献   

ON THE INFLUENCES OF LARGE-SCALE INHOMOGENEITY OF SEA TEMPERATURE UPON THE OCEANIC WAVES IN THE TROPICAL REGIONS——PART I : LINEAR THEORETICAL ANALYSIS     

Chao Jiping  Ji Zhengang 《大气科学进展》1985,2(3):295-306

By using a linear oceanic mixed layer model, the influences of the horizontal gradients of sea surface temperature (SST) and the depth variations of the mixed layer upon tropical oceanic waves are investigated. The equatorial Rossby wave will be modified and a kind of slower thermal wave has been revealed under the influences of inhomogeneities of large-scale sea temperature field. An interesting result is that the propagating direction of the thermal wave is opposite to that of the classical Rossby wave. The result also shows that the thermal wave becomes dominant when the meridional gradient of sea temperature in the mixed layer exceeds a critical value. As a first approximation, it seems that both waves obtained by this study may be used to explain the observational facts that the SST anomalies can usually propagate in both directions, that is, eastward and westward, during the El Nino events.  相似文献