DC FieldValueLanguage
dc.contributor.authorRuprecht, Daniel-
dc.contributor.authorKlein, Rupert-
dc.date.accessioned2021-10-14T10:37:39Z-
dc.date.available2021-10-14T10:37:39Z-
dc.date.issued2011-04-01-
dc.identifier.citationMeteorologische Zeitschrift 20 (2): 243-252 (2011-04-01)de_DE
dc.identifier.issn0941-2948de_DE
dc.identifier.urihttp://hdl.handle.net/11420/10531-
dc.description.abstractA model for interactions between non-hydrostatic gravity waves and deep convective narrow hot towers is presented. The starting point of the derivation are the conservation laws for mass, momentum and energy for compressible flows combined with a bulk micro-physic model. Using multiscale asymptotics, a set of leading order equations is extracted, valid for the specific scales of the investigated regime. These are a timescale of 100 s, a horizontal and vertical lengthscale of 10 km for the wave dynamics plus a second horizontal lengthscale of 1 km for the narrow hot towers. Because of the comparatively short horizontal scales, Coriolis effects are negligible in this regime. The leading order equations are then closed by applying conditional averages over the hot tower lengthscale, leading to a closed model for the wave-scale that retains the net effects of the smaller scale dynamics. By assuming a systematically small saturation deficit in the ansatz, the small vertical displacements arising in this regime suffice to induce leading order changes of the saturated area fraction. The latter is the essential parameter in the model arising from the micro-physics.en
dc.language.isoende_DE
dc.relation.ispartofMeteorologische Zeitschriftde_DE
dc.titleA model for nonlinear interactions of internal gravity waves with saturated regionsde_DE
dc.typeArticlede_DE
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.abstract.englishA model for interactions between non-hydrostatic gravity waves and deep convective narrow hot towers is presented. The starting point of the derivation are the conservation laws for mass, momentum and energy for compressible flows combined with a bulk micro-physic model. Using multiscale asymptotics, a set of leading order equations is extracted, valid for the specific scales of the investigated regime. These are a timescale of 100 s, a horizontal and vertical lengthscale of 10 km for the wave dynamics plus a second horizontal lengthscale of 1 km for the narrow hot towers. Because of the comparatively short horizontal scales, Coriolis effects are negligible in this regime. The leading order equations are then closed by applying conditional averages over the hot tower lengthscale, leading to a closed model for the wave-scale that retains the net effects of the smaller scale dynamics. By assuming a systematically small saturation deficit in the ansatz, the small vertical displacements arising in this regime suffice to induce leading order changes of the saturated area fraction. The latter is the essential parameter in the model arising from the micro-physics.de_DE
tuhh.publisher.doi10.1127/0941-2948/2011/0213-
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.issue2de_DE
tuhh.container.volume20de_DE
tuhh.container.startpage243de_DE
tuhh.container.endpage252de_DE
dc.identifier.scopus2-s2.0-80051682715de_DE
local.publisher.peerreviewedtruede_DE
item.grantfulltextnone-
item.languageiso639-1en-
item.creatorOrcidRuprecht, Daniel-
item.creatorOrcidKlein, Rupert-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.creatorGNDRuprecht, Daniel-
item.creatorGNDKlein, Rupert-
item.mappedtypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.fulltextNo Fulltext-
crisitem.author.deptMathematik E-10-
crisitem.author.orcid0000-0003-1904-2473-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik-
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