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Vorticity vector-potential method based on time-dependent curvilinear coordinates for two-dimensional rotating flows in closed configurations

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Journal of Hydrodynamics 2018年第2期30卷 218-234页

作者： Yuan Fu Da-peng Zhang Xi-lin Xie Department of Aeronautics and Astronautics Fudan University Shanghai 200433 China

In this study, a vorticity vector-potential method for two-dimensional viscous incompressible rotating driven flows is developed in the time-dependent curvilinear coordinates. The method is applicable in both inertial and non-inertial frames of reference with the advantage of a fixed and regular calculation domain. The numerical method is applied to triangle and curved triangle configurations in constant and varying rotational angular velocity cases respectively. The evolutions of flow field are studied. The geostrophic effect, unsteady effect and curvature effect on the evolutions are discussed.

关键词： Rotating driven flow time-dependent curvilinear coordinate geostrophic effect unsteady effect curvature effect

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BAROTROPIC AND BAROCLINIC DIVERGENCE QUASI ENERGY EQUATIONS AND THEIR APPLICATION TO A BLOCKING EVENT

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Acta meteorologica Sinica 2003年第4期17卷 385-395页

作者：朱乾根黄昌兴 Department of Atmospheric Sciences Nanjing Institute of Meteorology

As in the case of the expression for enstrophy (1/2ζ~2) and equations for barotropic and baroclinic enstrophy,this paper presents an expression of divergence assumed to have its quasi energy because of flows (DQE,or 1/2 D^2) with which to establish the equations of barotropie and baroclinic DQE,each consisting of five factors responsible for changes in these equations:the terms of energy flux,production,conversion,geostrophic effect and dissipation,and also a case study of a blocking event over the Sea of Okhotsk whose development is characterized largely by changes in barotropic and baroclinic DQE's on the strength of upper-level strong divergence and low-level vigorous *** the event's strengthening,the baroclinic net production (inclusive of geostrophie effect) mechanism acts as the dominant factor for the enhancement of the baroclinic DQE,with its net transport outward offsetting part of its growth but the conversion mechanism augmenting its growth,and during the weakening the outward net transport of baroclinic DQE is the predominant factor of its enfeebling,baroclinic net DQE production (inclusive of geostrophic effect) and the conversion mechanisms make the baroclinic DQE increased,thereby alleviating the weakening in intensity.

关键词： divergence quasi energy (DQE) barotropic and baroclinic DQE equations flux mechanism conversion mechanism net production mechanism geostrophic effect

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