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Conservative integrals of adiabatic Durran’s equations

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

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Offizielle 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.

Titel:Conservative integrals of adiabatic Durran’s equations
AutorenInstitution oder E-Mail-Adresse der Autoren
Smolarkiewicz, P.K.NCAR, Boulder, CO, USA
Erschienen in:International Journal for Numerical Methods in Fluids
Referierte Publikation:Ja
In Open Access:Nein
In ISI Web of Science:Ja
DOI :10.1002/fld.1601
Seitenbereich:Seiten 1513-1519
Stichwörter:reduced fluid models; anelastic approximations; Boussinesq models; compressible flows; pseudo-incompressible equations; baroclinicity
HGF - Forschungsbereich:Verkehr und Weltraum (alt)
HGF - Programm:Weltraum (alt)
HGF - Programmthema:W EO - Erdbeobachtung
DLR - Schwerpunkt:Weltraum
DLR - Forschungsgebiet:W EO - Erdbeobachtung
DLR - Teilgebiet (Projekt, Vorhaben):W - Vorhaben Atmosphären- und Klimaforschung (alt)
Standort: Oberpfaffenhofen
Institute & Einrichtungen:Institut für Physik der Atmosphäre > Wolkenphysik und Verkehrsmeteorologie
Hinterlegt von: Jana Freund
Hinterlegt am:17 Jun 2008
Letzte Änderung:20 Okt 2014 14:32

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