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Conservative integrals of adiabatic Durran’s equations

Smolarkiewicz, P.K. and Dörnbrack, A. (2008) Conservative integrals of adiabatic Durran’s equations. International Journal for Numerical Methods in Fluids, 56, pp. 1513-1519. DOI: 10.1002/fld.1601.

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Official URL: http://www3.interscience.wiley.com/cgi-bin/abstract/116318183/ABSTRACT


Potential advances are investigated in the area of generalized anelastic approximations. Consistent control-volume integrals are designed and compared for the established Lipps-Hemler form (of anelastic approximation) and Durran's pseudo-incompressible form. The Durran system provides a unique theoretical tool - useful for research of geophysical and stellar flows - within the existing set of reduced, Boussinesq-type fluid models. It represents thermal aspects of compressibility free of sound waves, yet the momentum equation is unapproximated. The latter admits unabbreviated baroclinic production of vorticity, thus facilitating separation of compressibility and baroclinicity effects per se. Compared with other reduced fluid models, there is little cumulative experience with integrating the Durran system. Perhaps the first conservative integrations of Durran's equations are presented, using flux-form transport methods and exact projection for the associated elliptic problem. Because the resulting code is built from a preexisting anelastic model, the consistency of the numerics is assured thus minimizing uncertainties associated with ad hoc code comparisons. While broader physical implications are addressed, theoretical considerations are illustrated with examples of atmospheric flows.

Document Type:Article
Title:Conservative integrals of adiabatic Durran’s equations
AuthorsInstitution or Email of Authors
Smolarkiewicz, P.K.NCAR, Boulder, CO, USA
Journal or Publication Title:International Journal for Numerical Methods in Fluids
Refereed publication:Yes
In Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 1513-1519
Keywords:reduced fluid models; anelastic approximations; Boussinesq models; compressible flows; pseudo-incompressible equations; baroclinicity
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W EO - Erdbeobachtung
DLR - Research area:Space
DLR - Program:W EO - Erdbeobachtung
DLR - Research theme (Project):W - Vorhaben Atmosphären- und Klimaforschung (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Atmospheric Physics > Cloud Physics and Traffic Meteorology
Deposited By: Jana Freund
Deposited On:17 Jun 2008
Last Modified:20 Oct 2014 14:32

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