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Riesz模范畴中自由函子的伴随性
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作者 王金萌 汤建钢 《伊犁师范大学学报(自然科学版)》 2024年第2期1-5,共5页
基于左R-模上Riesz空间的相关研究,给出了Riesz模范畴的概念,研究了Riesz模范畴中自由函子的伴随性及可裂性,证明了自由函子与遗忘函子是一对伴随函子,以及自由Riesz模F的一个满同态ϕ:M→F是可裂的.
关键词 Riesz模范畴 自由函子 伴随性
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Characteristics and Nonlinear Growth of the Singular Vector Related to a Heavy Rainfall Case over the Korean Peninsula 被引量:2
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作者 Yonghan CHOI Joowan KIM Dong-Kyou LEE 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2012年第1期10-28,共19页
In this study, singular vectors related to a heavy rainfall case over the Korean Peninsula were calculated using the fifth-generation Pennsylvania State University-National Center for Atmospheric Research Mesoscale Mo... In this study, singular vectors related to a heavy rainfall case over the Korean Peninsula were calculated using the fifth-generation Pennsylvania State University-National Center for Atmospheric Research Mesoscale Model (MM5) adjoint modeling system. Tangent linear and adjoint models include moist physical processes, and a moist basic state and a moist total energy norm were used for the singular-vector calculations. The characteristics and nonlinear growth of the first singular vector were analyzed, focusing on the relationship between the basic state and the singular vector. The horizontal distribution of the initial singular vector was closely related to the baroclinicity index and the moisture availability of the basic state. The temperature-component energy at a lower level was dominant at the initial time, and the kinetic energy at upper levels became dominant at the final time in the energy profile of the singular vector. The nonlinear growth of the singular vector appropriately reflects the temporal variations in the basic state. The moisture-component energy at lower levels was dominant at earlier times, indicating continuous moisture transport in the basic state. There were a large amount of precipitation and corresponding latent heat release after that period because the continuous moisture transport created favorable conditions for both convective and nonconvective precipitation. The vertical propagation of the singular-vector energy was caused by precipitation and the corresponding latent heating in the basic state. 展开更多
关键词 singular vector nonlinear growth heavy rainfall MM5 adjoint modeling system
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Variational Data Assimilation Experiments of Mei-Yu Front Rainstorms in China 被引量:2
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作者 王云峰 王斌 +5 位作者 韩月琪 朱民 侯志明 周毅 刘宇迪 寇正 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2004年第4期587-596,共10页
The numerical forecasts of mei-yu front rainstorms in China has been an important issue. The intensity and pattern of the frontal rainfall are greatly influenced by the initial fields of the numerical model. The 4-dim... The numerical forecasts of mei-yu front rainstorms in China has been an important issue. The intensity and pattern of the frontal rainfall are greatly influenced by the initial fields of the numerical model. The 4-dimensional variational data assimilation technology (4DVAR) can effectively assimilate all kinds of observed data, including rainfall data at the observed stations, so that the initial fields and the precipitation forecast can both be greatly improved. The non-hydrostatic meso-scale model (MM5) and its adjoint model are used to study the development of the mei-yu front rainstorm from 1200 UTC 25 June to 0600 UTC 26 June 1999. By numerical simulation experiments and assimilation experiments, the T106 data and the observed 6-hour rainfall data are assimilated. The influences of many factors, such as the choice of the assimilated variables and the weighting coefficient, on the precipitation forecast results are studied. The numerical results show that 4DVAR is valuable and important to mei-yu front rainfall prediction. 展开更多
关键词 mei-yu front rainstorm 4DVAR MM5 model and its adjoint model
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