dc.contributor.author
Benacchio, Tommaso
dc.contributor.author
O'Neill, Warren P.
dc.contributor.author
Klein, Rupert
dc.date.accessioned
2018-06-08T03:25:33Z
dc.date.available
2015-05-18T06:24:05.099Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/15157
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-19345
dc.description.abstract
A blended model for atmospheric flow simulations is introduced that enables
seamless transition from fully compressible to pseudo-incompressible dynamics.
The model equations are written in nonperturbation form and integrated using a
well-balanced second-order finite-volume discretization. The semi-implicit
scheme combines an explicit predictor for advection with elliptic corrections
for the pressure field. Compressibility is implemented in the elliptic
equations through a diagonal term. The compressible/pseudo-incompressible
transition is realized by suitably weighting the term and provides a mechanism
for removing unwanted acoustic imbalances in compressible runs. As the
gradient of the pressure is used instead of the Exner pressure in the momentum
equation, the influence of perturbation pressure on buoyancy must be included
to ensure thermodynamic consistency. With this effect included, the
thermodynamically consistent model is equivalent to Durran’s original pseudo-
incompressible model, which uses the Exner pressure. Numerical experiments
demonstrate quadratic convergence and competitive solution quality for several
benchmarks. With the inclusion of an additional buoyancy term required for
thermodynamic consistency, the “p–ρ formulation” of the pseudo-incompressible
model closely reproduces the compressible results. The proposed unified
approach offers a framework for models that are largely free of the biases
that can arise when different discretizations are used. With data assimilation
applications in mind, the seamless compressible/pseudo-incompressible
transition mechanism is also shown to enable the flattening of acoustic
imbalances in initial data for which balanced pressure distributions are
unknown.
en
dc.rights.uri
http://www2.ametsoc.org/ams/index.cfm/publications/authors/journal-and-bams-authors/author-resources/copyright-information/copyright-policy/
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik
dc.subject.ddc
000 Informatik, Informationswissenschaft, allgemeine Werke::000 Informatik, Wissen, Systeme
dc.title
A blended soundproof-to-compressible numerical model for small to meso-scale
atmospheric dynamics
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation
Monthly Weather Review. - 142 (2014), 12, S. 4416–4438
dcterms.bibliographicCitation.doi
10.1175/MWR-D-13-00384.1
dcterms.bibliographicCitation.url
http://dx.doi.org/10.1175/MWR-D-13-00384.1
refubium.affiliation
Mathematik und Informatik
de
refubium.mycore.fudocsId
FUDOCS_document_000000022441
refubium.resourceType.isindependentpub
no
refubium.mycore.derivateId
FUDOCS_derivate_000000004918
dcterms.accessRights.openaire
open access