1988 Vol. 5, No. 3
Display Method:
1988, 5(3): 253-264.
doi: 10.1007/BF02656750
Abstract:
A barotropic spectral model is used to study the planetary-scale motions of an atmosphere whose wave ensemble modes are externally driven. Pertubations are induced by a barotropic analogue of thermal driving and by Ekman friction, bottom topography, and the vanished internal dissipation. The use of complete spectral expansions without truncation leads to that the nonlinear coupling equations between the low-index mode and the high-index mode are obtained by means of the random phase approximation and the projec-tion operator techniques. The nonlinear coupling equations are entirely equivalent to the Volterra systems in ecology.In the phase-plane, the orbits of the nonlinear coupling equations are the family of closed curves, indicat-ing a bound, and periodic motion. The qualitative behaviors of low-index and high-index modes as functions of time picture the motion of atmospheric flows, with exchanges of energy between the low-index mode and the high-index mode by nonlinear resonance interaction. It is suggested that the phenomenon of blocking be exponentially grown of the low-index mode, the atmospheric motion then evolved to the high-index mode due to relaxation process. The results therefore lead to a plausible hypothesis concerning index cycles in the atmosphere discussed by Lorenz’s early works.
A barotropic spectral model is used to study the planetary-scale motions of an atmosphere whose wave ensemble modes are externally driven. Pertubations are induced by a barotropic analogue of thermal driving and by Ekman friction, bottom topography, and the vanished internal dissipation. The use of complete spectral expansions without truncation leads to that the nonlinear coupling equations between the low-index mode and the high-index mode are obtained by means of the random phase approximation and the projec-tion operator techniques. The nonlinear coupling equations are entirely equivalent to the Volterra systems in ecology.In the phase-plane, the orbits of the nonlinear coupling equations are the family of closed curves, indicat-ing a bound, and periodic motion. The qualitative behaviors of low-index and high-index modes as functions of time picture the motion of atmospheric flows, with exchanges of energy between the low-index mode and the high-index mode by nonlinear resonance interaction. It is suggested that the phenomenon of blocking be exponentially grown of the low-index mode, the atmospheric motion then evolved to the high-index mode due to relaxation process. The results therefore lead to a plausible hypothesis concerning index cycles in the atmosphere discussed by Lorenz’s early works.
1988, 5(3): 265-276.
doi: 10.1007/BF02656751
Abstract:
Orders of magnitude of terms related to earth’s rotation in linearized vorticity and divergence equations governing tropical large-scale motion are analysed. It is discovered that βyD and βyξ are smaller by one order than βv and βu respectively and then may be neglected. On this basis, tropical wave motions are discussed. It is found that there exists a kind of gravity-atmospheiic long waves which is non-vorticit atmospheric long wave, whereas the Kelvin wave is essentially the gravity-atmospheric long wave with its velocity being much lower than that of gravity. Computation shows that there also exists a kind of large-scale slow waves whose moving speed is lower by one order of magnitude than that of Kelvin wave. Such slow wave is likely to be the Walker Circulation.
Orders of magnitude of terms related to earth’s rotation in linearized vorticity and divergence equations governing tropical large-scale motion are analysed. It is discovered that βyD and βyξ are smaller by one order than βv and βu respectively and then may be neglected. On this basis, tropical wave motions are discussed. It is found that there exists a kind of gravity-atmospheiic long waves which is non-vorticit atmospheric long wave, whereas the Kelvin wave is essentially the gravity-atmospheric long wave with its velocity being much lower than that of gravity. Computation shows that there also exists a kind of large-scale slow waves whose moving speed is lower by one order of magnitude than that of Kelvin wave. Such slow wave is likely to be the Walker Circulation.
1988, 5(3): 277-286.
doi: 10.1007/BF02656752
Abstract:
A surface wind (seabreeze), thermally generated by differential sea surface temperature, is introduced to Gill-Clarke’s model (1974) through wind stress for investigating the effects of Seabreeze on coastal upwelling. A coupled air-sea system is treated as an eigenvalue problem. The solutions show that the thermally forced local winds break down the coastal Kelvin wave into three parts: small-scale (L200 km) coastal Kelvin modes. The consistency of the length scale between the most growing mode predicted by this model and the observed cold/warm alternation pattern of surface water near the Peruvian Coast (around 15oS) implies that Seabreeze may play some role in coastal upwelling.
A surface wind (seabreeze), thermally generated by differential sea surface temperature, is introduced to Gill-Clarke’s model (1974) through wind stress for investigating the effects of Seabreeze on coastal upwelling. A coupled air-sea system is treated as an eigenvalue problem. The solutions show that the thermally forced local winds break down the coastal Kelvin wave into three parts: small-scale (L200 km) coastal Kelvin modes. The consistency of the length scale between the most growing mode predicted by this model and the observed cold/warm alternation pattern of surface water near the Peruvian Coast (around 15oS) implies that Seabreeze may play some role in coastal upwelling.
1988, 5(3): 287-300.
doi: 10.1007/BF02656753
Abstract:
In this paper, Wu and Blumen’s boundary layer geostrophic momentum approximation model (Wu and Blumen, 1982) is applied to baroclinic and non-neutral PBL, the motion equations for the PBL under the geostrophic momentum approximation are solved, in which the eddy transfer coefficient is a function of the distributions of the wind and temperature. The results are compared with those in barotropic and neutral conditions with the geostrophic momentum approximation. It is found that in the baroclinic condition, the wind distribution has both the characteristics of a steady, homogeneous and baroclinic PBL and those caused by the geostrophic momentum approximation. Those in non-neutral conditions show that they retain the intrinsic characteristics for the wind in non-neutral PBL, at the same time, the effects of the large-scale advection and local variation are also included. We can predict the wind in the non-neutral and baroclinic PBL by use of the geostrophic mo-mentum approximation when the temporal and spatial distributions of the geostrophic wind, as well as the po-tential temperatures and their variation rates at the upper and lower boundary of the PBL are given by large-scale model. Finally, the model is extended to the case over sea surface.
In this paper, Wu and Blumen’s boundary layer geostrophic momentum approximation model (Wu and Blumen, 1982) is applied to baroclinic and non-neutral PBL, the motion equations for the PBL under the geostrophic momentum approximation are solved, in which the eddy transfer coefficient is a function of the distributions of the wind and temperature. The results are compared with those in barotropic and neutral conditions with the geostrophic momentum approximation. It is found that in the baroclinic condition, the wind distribution has both the characteristics of a steady, homogeneous and baroclinic PBL and those caused by the geostrophic momentum approximation. Those in non-neutral conditions show that they retain the intrinsic characteristics for the wind in non-neutral PBL, at the same time, the effects of the large-scale advection and local variation are also included. We can predict the wind in the non-neutral and baroclinic PBL by use of the geostrophic mo-mentum approximation when the temporal and spatial distributions of the geostrophic wind, as well as the po-tential temperatures and their variation rates at the upper and lower boundary of the PBL are given by large-scale model. Finally, the model is extended to the case over sea surface.
1988, 5(3): 301-310.
doi: 10.1007/BF02656754
Abstract:
In this paper, a barotropic model is used to discuss the nonlinear Rossby wave induced by the large-scale topography. By using separate multi-scale perturbation method and matching boundary condition, the general-ized KDV equation is obtained. Especially, in consideration of the effect of the Tibetan Plateau, the distribu-tions of the disturbance stream function is given. It is proved that solitary wave induced by the large-scale topog-raphy exists indeed and it has direct influence on the weather of its lower reaches.
In this paper, a barotropic model is used to discuss the nonlinear Rossby wave induced by the large-scale topography. By using separate multi-scale perturbation method and matching boundary condition, the general-ized KDV equation is obtained. Especially, in consideration of the effect of the Tibetan Plateau, the distribu-tions of the disturbance stream function is given. It is proved that solitary wave induced by the large-scale topog-raphy exists indeed and it has direct influence on the weather of its lower reaches.
1988, 5(3): 311-324.
doi: 10.1007/BF02656755
Abstract:
Based on the radiative transfer calculation results, three approximate expressions of the sky radiance in almucantar and its increment caused by surface albedo are presented. They are simple, but accurate enough. The dependence of the fitted aerosol scattering phase functions on refractive index is also studied, and its reasonable form is given. For Junge size distribution, the approximate equations of the phase functions with some special scattering angles are obtained. These approximate equations significantly simplify the retrieval algorithm of simultaneous determination of aerosol size distribution and its refractive index and surface albedo. This method can be realized with a microcomputer, and has been used to process and analyse the experimental data measured in Hefei of Anhui Province.
Based on the radiative transfer calculation results, three approximate expressions of the sky radiance in almucantar and its increment caused by surface albedo are presented. They are simple, but accurate enough. The dependence of the fitted aerosol scattering phase functions on refractive index is also studied, and its reasonable form is given. For Junge size distribution, the approximate equations of the phase functions with some special scattering angles are obtained. These approximate equations significantly simplify the retrieval algorithm of simultaneous determination of aerosol size distribution and its refractive index and surface albedo. This method can be realized with a microcomputer, and has been used to process and analyse the experimental data measured in Hefei of Anhui Province.
1988, 5(3): 325-334.
doi: 10.1007/BF02656756
Abstract:
A model for evaluating pollutant concentrations near the ground is developed. The main advantages of the model are its ability to estimate the distribution and variation of ground concentration under non-uniform or unsteady wind field with minimal computations and the elimination of numerical pesudo-diffusion.
A model for evaluating pollutant concentrations near the ground is developed. The main advantages of the model are its ability to estimate the distribution and variation of ground concentration under non-uniform or unsteady wind field with minimal computations and the elimination of numerical pesudo-diffusion.
1988, 5(3): 335-344.
doi: 10.1007/BF02656757
Abstract:
This article, on the basis of the expert’s analyses and theories of the forecast of heavy-rain, summarizes a variety of the current instruments and methods of forecast and, according to the train of thought of the high-rank forecasters, distills their experiences in forecasting heavy-rain into an inference-tree of 106 junctures from which 101 rule-bases are derived. The logical calculation is automatically carried out with our introduced and developed PROLOG, one of the intelligent languagas by means of micro-computer. This process adopts the uncertain inferential method based on the theory of fuzzy sets, breaks through the limits of two-value logic and is characteristic of the thinking of human brain.
This article, on the basis of the expert’s analyses and theories of the forecast of heavy-rain, summarizes a variety of the current instruments and methods of forecast and, according to the train of thought of the high-rank forecasters, distills their experiences in forecasting heavy-rain into an inference-tree of 106 junctures from which 101 rule-bases are derived. The logical calculation is automatically carried out with our introduced and developed PROLOG, one of the intelligent languagas by means of micro-computer. This process adopts the uncertain inferential method based on the theory of fuzzy sets, breaks through the limits of two-value logic and is characteristic of the thinking of human brain.
1988, 5(3): 345-360.
doi: 10.1007/BF02656758
Abstract:
In this paper the correlation analysis, factor analysis, fuzzy classification, and principal component analysis (PCA) are performed for the southern oscillation index (SOI) from the Climate Analysis Center (CAC) at the NOAA. It is shown that the 12-month SOI can be classified into two groups: one from January through April and the other from May through December. They differ in persistency and correlation. It is also found that the year of strong or weak SO can be defined by the first principal component of the SOI. The 11 years of weak SO thus defined contain 9 El Nino events.In addition, the relations between the SOI and 500 hPa geopotential height, mean monthly zonal height, mean monthly interzonal height differences, centers of atmospheric activities, characteristics of the atmospheric circulation (the intensity index of the north polar vortex, the area index of the subtropical West Pacific high, mean monthly zonal and meridional circulation indexes in Asia and Eurasia) in the period of 24 months from January through December of the next year have been examined on the basis of the monthly data from 1951 through 1984. The correlation coefficients and Mahalanobis distances are thus presented. Analysis indicates that in the early part of the low SOI year, i.e., in April, the 500 hPa geopotential height north of 75oN is significantly low and then becomes higher in May. It is found that in April the trough of the first harmonic wave is in the Eastern Hemisphere and the contribution of its variance is smaller than in May. Analysis shows that the opposite is true in the high SOI year. Such variation in the height field during the April-May period is an early signal of the SO at higher latitudes.In the end, a statistical prediction model for the SOI is presented, by means of which a low SOI year as well as an El Nino event has been successfully predicted for 1986.
In this paper the correlation analysis, factor analysis, fuzzy classification, and principal component analysis (PCA) are performed for the southern oscillation index (SOI) from the Climate Analysis Center (CAC) at the NOAA. It is shown that the 12-month SOI can be classified into two groups: one from January through April and the other from May through December. They differ in persistency and correlation. It is also found that the year of strong or weak SO can be defined by the first principal component of the SOI. The 11 years of weak SO thus defined contain 9 El Nino events.In addition, the relations between the SOI and 500 hPa geopotential height, mean monthly zonal height, mean monthly interzonal height differences, centers of atmospheric activities, characteristics of the atmospheric circulation (the intensity index of the north polar vortex, the area index of the subtropical West Pacific high, mean monthly zonal and meridional circulation indexes in Asia and Eurasia) in the period of 24 months from January through December of the next year have been examined on the basis of the monthly data from 1951 through 1984. The correlation coefficients and Mahalanobis distances are thus presented. Analysis indicates that in the early part of the low SOI year, i.e., in April, the 500 hPa geopotential height north of 75oN is significantly low and then becomes higher in May. It is found that in April the trough of the first harmonic wave is in the Eastern Hemisphere and the contribution of its variance is smaller than in May. Analysis shows that the opposite is true in the high SOI year. Such variation in the height field during the April-May period is an early signal of the SO at higher latitudes.In the end, a statistical prediction model for the SOI is presented, by means of which a low SOI year as well as an El Nino event has been successfully predicted for 1986.
1988, 5(3): 361-368.
doi: 10.1007/BF02656759
Abstract:
The total ozone data of 113 ozone observational stations in the Northern Hemisphere (NH) spanning a period of 1963-1985 have been analysed in this paper. Some interesting results have been obtained, such as the temporal and spatial distribution, long-term trends, the harmonic analysis results, the relationship between the total ozone and solar activity, etc. Furthermore, by using the denned index G, the long-term changes of ozone meridional distribution patterns for the region of Europe-Asia (EA) have been approached particularly.
The total ozone data of 113 ozone observational stations in the Northern Hemisphere (NH) spanning a period of 1963-1985 have been analysed in this paper. Some interesting results have been obtained, such as the temporal and spatial distribution, long-term trends, the harmonic analysis results, the relationship between the total ozone and solar activity, etc. Furthermore, by using the denned index G, the long-term changes of ozone meridional distribution patterns for the region of Europe-Asia (EA) have been approached particularly.
1988, 5(3): 369-388.
doi: 10.1007/BF02656760
Abstract:
This is a review on the studies of tropical very low-frequency oscillation (VLFO) on interannual scale, mainly on the recent researches undertaken by Chinese scientists which are not well known outside of the country.This paper summarizes the basic features of VLFO in the tropics, the characteristic time and spacial structure of oscillation, especially the new concept of Low Latitude Oscillation consisted of two components: the well-known Southern Oscillation (SO) and the so-called Northern Oscillation (NO). A large number of evidences have been provided to illustrate the relationship between VLFO in tropics and the climate variation in China, such as the long-term variation of north Pacific high, the frequency of typhoon and the cyclone over the East China Sea, the summer monsoon rainfall in Yangtze valley basin and the cold summer disaster in Northeast China, and so on. Finally throw some lights on the nature of VLFO on imerannual scale.
This is a review on the studies of tropical very low-frequency oscillation (VLFO) on interannual scale, mainly on the recent researches undertaken by Chinese scientists which are not well known outside of the country.This paper summarizes the basic features of VLFO in the tropics, the characteristic time and spacial structure of oscillation, especially the new concept of Low Latitude Oscillation consisted of two components: the well-known Southern Oscillation (SO) and the so-called Northern Oscillation (NO). A large number of evidences have been provided to illustrate the relationship between VLFO in tropics and the climate variation in China, such as the long-term variation of north Pacific high, the frequency of typhoon and the cyclone over the East China Sea, the summer monsoon rainfall in Yangtze valley basin and the cold summer disaster in Northeast China, and so on. Finally throw some lights on the nature of VLFO on imerannual scale.
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