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Derivation of baroclinic Ertel–Rossby invariant-based thermally-coupled vorticity equation in moist flow

Chinese Physics B 2014年第11期23卷 700-705页

作者：杨帅高守亭 Laboratory of Cloud-Precipitation Physics and Severe Storms (LACS) Institute of Atmospheric PhysicsChinese Academy of Sciences

For the potential vorticity （PV） invariant, there is a PV-based complete-form vorticity equation, which we use heuris- tically in the present paper to answer the following question： for the Ertel-Rossby invariant （ERI）, is there a corresponding vorticity tendency equation？ Such an ERI-based thermally-coupled vorticity equation is derived and discussed in detail in this study. From the obtained new vorticity equation, the vertical vorticity change is constrained by the vertical velocity term, the term associated with the slope of the generalized momentum surface, the term related to the horizontal vorticity change, and the baroclinic or solenoid term. It explicitly includes both the dynamical and thermodynamic factors＇ influence on the vorticity change. For the ERI itself, besides the traditional PV term, the ERI also includes the moisture factor, which is excluded in dry ERI, and the term related to the gradients of pressure, kinetic energy, and potential energy that reflects the fast-manifold property. Therefore, it is more complete to describe the fast motions off the slow manifold for severe weather than the PV term. These advantages are naturally handed on and inherited by the ERI-based thermally-coupled vorticity equation. Then the ERI-based thermally-coupled vorticity equation is further transformed and compared with the traditional vorticity equation. The main difference between the two equations is the term which describes the contribution of the solenoid term to the vertical vorticity development. In a barotropic flow, the solenoid term disappears, then the ERI-based thermally-coupled vorticity equation can regress to the traditional vorticity equation.

关键词： vorticity equation derivation Ertel-Rossby invariant

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FOURIER-CHEBYSHEV PSEUDOSPECTRAL METHOD FOR THREE-DIMENSIONAL vorticity equation

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Journal of Computational Mathematics 1998年第5期16卷 417-436页

作者： Li, Jian Guo, Ben-yu Cao, Wei-ming Chinese Acad Sci ICMSEC State Key Lab Sci & Engn Comp Beijing 100080 Peoples R China Shanghai Univ Dept Math Shanghai 201800 Peoples R China

In this paper, a Fourier-Chebyshev pseudospectral scheme with mixed filtering is proposed for three-dimensional vorticity equation. The generalized stability and convergence are proved. The numerical results show the ... 详细信息

关键词： Pseudospectral method vorticity equation error estimates

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APPLICATION OF ADVECTIVE vorticity equation TO TYPHOON FUNG-WONG

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Journal of Tropical Meteorology 2010年第2期16卷 134-142页

作者：周玉淑朱科锋刘黎平 Institute of Atmospheric Physics Chinese Academy of Sciences State Key Laboratory of Severe Weather Chinese Academy of Meteorological Sciences

The momentum advection vorticity equation in the form of cross multiplication is introduced, in which the divergence term in the classic vorticity equation does not appear explicitly. This equation includes the rotation effect of the horizontal wind advection, which are not explicitly included in the classic vortieity equation. The vorticity and its tendency of Typhoon Fung-Wong （0808） that occurred in July 2008 are analyzed. The computed results show that the rotation effect of the advection of the horizontal wind is a leading factor in determining the change of vertical vorticity for Fung-Wong during its life cycle, especially in the period leading up to landfall. The advection term represents the tendency variation of the vertical vortieity, and the positive-value region of the vertical vorticity tendency is almost in accord with the track of Fung-Wong, which may be taken as a factor to locate the key observational region of Fung-Wong. The equation provides a supplementary diagnostic tool for the systems related with strong advection of horizontal wind.

关键词： advection vorticity equation synoptic analysis

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CHEBYSHEV SPECTRAL-FINITE ELEMENTMETHOD FOR THREE-DIMENSIONALvorticity equation

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Acta Mathematicae Applicatae Sinica 1998年第2期14卷 140-151页

作者：郭本瑜马和平何松年 Department of Applied Mathematics Shanghai University Shanghai China

Combined Chebyshev spectral-finite element schemes are constructed for three-dimensionalunsteady vorticity equation. The generalized stability and convergence are proved strictly.

关键词： Chebyshev spectral-finite element approximstion vorticity equation

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FOURIER　PSEUDOSPECTRAL－FINITE　DIFFERENCE　METHOD　FOR　TWO－DIMENSIONAL　VORICITY　equation

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Chinese Annals of Mathematics,Series B 1994年第4期15卷 469-488页

作者： GUO BENYU XIONG YUESHAN(Department of Mathematics,Shanghai University of Science and Technology f Shanghai 201800,China.) DepartmentofMathematics ShanghaiUniversityofScienceandTechnologyShanghai201800China

A Fourier pseudospectral-finite difference sheme is proposed for solving two-dimensionalvorticity equations. The generalized stability and the convergence are *** numericalresults are given.

关键词： vorticity equation Fourier pseudospectral-finite difference method Generalized stability Convergence.

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Circulation cells topology and their effect on migration pattern of different multi-bend meandering rivers

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International Journal of Sediment Research 2020年第6期35卷 636-650页

作者： Fariba Sadat Esfahani Alireza Keshavarzi Water Engineering Department Shiraz University Centre for Infrastructure Engineering School of EngineeringWestern Sydney University

In meandering rivers,a cross-stream flow,referred to as a secondary current,has important effects on broad spectra of hydraulic/environmental characteristics,running the gamut from river hydrodynamics and geomorphology to stream *** transport equation for vorticity and kinetic energy transfer should be analyzed to specify terms involved in generation of secondary ***,there is limited research on scrutinizing these terms in meandering *** the other hand,while rivers are mostly multi-bend,previous studies have been limited to single *** the current paper,three physical multi-bend channels representing a strongly curved bend,a mild bend and an elongated symmetrical meander loop are designed in order to unravel mechanisms responsible for forming circulation cells in cross *** are carried out in the middle bend of these *** turbulence anisotropy considerably strengthens almost all near bank ***,contrary to single sharp bends,multi bend effects hinder the transfer of the kinetic energy in both directions in the entrance section of the strongly curved bend.

关键词： Circulation cells Multi bend channels vorticity equation Kinetic energy transfer

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Constructions of Some Exact VortexSuperposition Solutions

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Communications in Nonlinear Science and Numerical Simulation 1999年第4期4卷 3-5页

作者： Xin HU Yonghan HUANG(Department of Mechanics and Engineering Science, State Key Laboratory for TurbulenceResearch, Peking University, Beijing 100871, China) Department of Mechanics and Engineering Science State Key Laboratory for Turbulence Research Peking University Beijing 100871 China

IntroductionOneofthemostusefulmethodstosolvetheN-Sequationistodecomposethevelocity（l）(z)where.（'）--acNow,***3=w3（t）,wewillthengetco3=coear(jb（t）dt).Ifwetakeg=--M（axl+fixs）+ac,T=--M（Axf+Bx;）+cohere,goandcos... 详细信息

关键词： exact solution Stokes-Helmholtz decomposition vorticity equation

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Spectral Methods for Two Dimensional Incompressible Flow

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Journal of Mathematical Research and Exposition 1999年第2期19卷 375-390页

作者：郭本瑜马和平上海大学

We take the two dimensional vorticity equations as models to describe spectral methods and their combinations with finite difference methods or finite element methods, which are applicable to other similar nonlinear ... 详细信息

关键词： vorticity equation spectral method combination method.

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