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. Wiley. doi: 10.1002/fld.1601.
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Official URL: http://www3.interscience.wiley.com/cgi-bin/abstract/116318183/ABSTRACT
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.
Item URL in elib: | https://elib.dlr.de/51340/ | |||||||||
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Document Type: | Article | |||||||||
Title: | Conservative integrals of adiabatic Durran’s equations | |||||||||
Authors: |
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Date: | 2008 | |||||||||
Journal or Publication Title: | International Journal for Numerical Methods in Fluids | |||||||||
Refereed publication: | Yes | |||||||||
Open Access: | Yes | |||||||||
Gold Open Access: | No | |||||||||
In SCOPUS: | Yes | |||||||||
In ISI Web of Science: | Yes | |||||||||
Volume: | 56 | |||||||||
DOI: | 10.1002/fld.1601 | |||||||||
Page Range: | pp. 1513-1519 | |||||||||
Publisher: | Wiley | |||||||||
Status: | Published | |||||||||
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: | Freund, Jana | |||||||||
Deposited On: | 17 Jun 2008 | |||||||||
Last Modified: | 31 Jul 2019 19:20 |
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