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Finite volume discretization for dynamic viscosities on Voronoi grids

Hüttig, C. and Stemmer, K. (2008) Finite volume discretization for dynamic viscosities on Voronoi grids. Physics of the Earth and Planetary Interiors, 171 (1-4), pp. 137-146. Elsevier B.V.. DOI: 10.1016/j.pepi.2008.07.007

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We present a new formulation to discretize the viscous term in the momentum equation of the Navier–Stokes set. A technique based on the finite volume method enables thermal convection models to utilize spatially varying viscosity on a collocated variable arrangement. This technique can be applied to various grids in two or three dimensions with Voronoi properties, either irregular as the spiral grid or regular like the cubed sphere grid, icosahedral or simple boxes. A model for mantle convection implements this discretization and is compared to other published models. Further computational aspects are illuminated to efficiently reduce required resources.

Item URL in elib:https://elib.dlr.de/56690/
Document Type:Article
Title:Finite volume discretization for dynamic viscosities on Voronoi grids
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Date:July 2008
Journal or Publication Title:Physics of the Earth and Planetary Interiors
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
DOI :10.1016/j.pepi.2008.07.007
Page Range:pp. 137-146
Publisher:Elsevier B.V.
Keywords:Voronoi; Dual grid; Mantle convection; Thermal convection; Finite volume; Temperature-dependent viscosity; Numerical modeling
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W EW - Erforschung des Weltraums
DLR - Research area:Space
DLR - Program:W EW - Erforschung des Weltraums
DLR - Research theme (Project):W - Vorhaben Vergleichende Planetologie (old)
Location: Berlin-Adlershof
Institutes and Institutions:Institute of Planetary Research > Planetary Physics
Deposited By: Hempel, Stefanie
Deposited On:15 Dec 2008
Last Modified:27 Apr 2009 15:35

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