Finite volume discretization for dynamic viscosities on Voronoi grids

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...

Full description

Saved in:
Bibliographic Details
Published in:Physics of the earth and planetary interiors 2008-12, Vol.171 (1), p.137-146
Main Authors: Hüttig, Christian, Stemmer, Kai
Format: Article
Language:English
Subjects:
Dual grid
Finite volume
Mantle convection
Numerical modeling
Temperature-dependent viscosity
Thermal convection
Voronoi
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0031-9201
1872-7395
0031-9201
DOI:10.1016/j.pepi.2008.07.007