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Modelling atmospheric flows with adaptive moving meshes

Kühnlein, Christian and Smolarkiewicz, Piotr K. and Dörnbrack, Andreas (2012) Modelling atmospheric flows with adaptive moving meshes. Journal of Computational Physics, 231, pp. 2741-2763. Elsevier. DOI: 10.1016/j.jcp.2011.12.012

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Official URL: http://www.elsevier.com/locate/jcp

Abstract

An anelastic atmospheric flow solver has been developed that combines semi-implicit nonoscillatory forward-in-time numerics with a solution-adaptive mesh capability. A key feature of the solver is the unification of a mesh adaptation apparatus, based on moving mesh partial differential equations (PDEs), with the rigorous formulation of the governing anelastic PDEs in generalised time-dependent curvilinear coordinates. The solver development includes an enhancement of the flux-form multidimensional positive definite advection transport algorithm (MPDATA) — employed in the integration of the underlying anelastic PDEs — that ensures full compatibility with mass continuity under moving meshes. In addition, to satisfy the geometric conser vation law (GCL) tensor identity under general moving meshes, a diagnostic approach is proposed based on the treatment of the GCL as an elliptic problem. The benefits of the solution-adaptive moving mesh technique for the simulation of multiscale atmospheric flows are demonstrated. The developed solver is verified for two idealised flow problems with distinct levels of complexity: passive scalar advection in a prescribed deformational flow, and the life cycle of a large-scale atmospheric baroclinic wave instability showing fine-scale phenomena of fronts and internal gravity waves.

Item URL in elib:https://elib.dlr.de/74885/
Document Type:Article
Title:Modelling atmospheric flows with adaptive moving meshes
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Kühnlein, Christian DLRUNSPECIFIED
Smolarkiewicz, Piotr K. NCAR, Boulder, CO, USAUNSPECIFIED
Dörnbrack, Andreas DLRUNSPECIFIED
Date:2012
Journal or Publication Title:Journal of Computational Physics
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:231
DOI :10.1016/j.jcp.2011.12.012
Page Range:pp. 2741-2763
Publisher:Elsevier
Status:Published
Keywords:Adaptive moving mesh; Multiscale atmospheric flow; Geometric conservation law; Non-oscillatory forward-in-time scheme
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport, Space, Aeronautics
HGF - Program Themes:other, Earth Observation, ATM and Operation (old)
DLR - Research area:Transport, Raumfahrt, Aeronautics
DLR - Program:V - no assignment, R EO - Erdbeobachtung, L AO - Air Traffic Management and Operation
DLR - Research theme (Project):V - no assignment, R - Vorhaben Atmosphären- und Klimaforschung, L - Climate, Weather and Environment (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Atmospheric Physics > Cloud Physics and Traffic Meteorology
Deposited By: Freund, Jana
Deposited On:09 Feb 2012 16:41
Last Modified:31 Jul 2019 19:35

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