An Upwind-Biased Conservative Advection Scheme for Spherical Hexagonal–Pentagonal GridsSource: Monthly Weather Review:;2007:;volume( 135 ):;issue: 012::page 4038Author:Miura, Hiroaki
DOI: 10.1175/2007MWR2101.1Publisher: American Meteorological Society
Abstract: A discrete form of the flux-divergence operator is developed to compute advection of tracers on spherical hexagonal?pentagonal grids. An upwind-biased advection scheme based on a piecewise linear approximation for one-dimensional regular grids is extended simply for spherical hexagonal?pentagonal grids. The distribution of a tracer over the upwind side of a cell face is linearly approximated using a nodal value and a gradient at a computational node on the upwind side. A piecewise linear approximation is relaxed to a local linear approximation, and the relaxation precludes the complicated conditional branching present in remapping schemes. Results from a cosine bell advection test show that the new scheme compares favorably with other upwind-biased schemes for spherical hexagonal?pentagonal grids.
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contributor author | Miura, Hiroaki | |
date accessioned | 2017-06-09T16:21:04Z | |
date available | 2017-06-09T16:21:04Z | |
date copyright | 2007/12/01 | |
date issued | 2007 | |
identifier issn | 0027-0644 | |
identifier other | ams-66271.pdf | |
identifier uri | http://onlinelibrary.yabesh.ir/handle/yetl/4207588 | |
description abstract | A discrete form of the flux-divergence operator is developed to compute advection of tracers on spherical hexagonal?pentagonal grids. An upwind-biased advection scheme based on a piecewise linear approximation for one-dimensional regular grids is extended simply for spherical hexagonal?pentagonal grids. The distribution of a tracer over the upwind side of a cell face is linearly approximated using a nodal value and a gradient at a computational node on the upwind side. A piecewise linear approximation is relaxed to a local linear approximation, and the relaxation precludes the complicated conditional branching present in remapping schemes. Results from a cosine bell advection test show that the new scheme compares favorably with other upwind-biased schemes for spherical hexagonal?pentagonal grids. | |
publisher | American Meteorological Society | |
title | An Upwind-Biased Conservative Advection Scheme for Spherical Hexagonal–Pentagonal Grids | |
type | Journal Paper | |
journal volume | 135 | |
journal issue | 12 | |
journal title | Monthly Weather Review | |
identifier doi | 10.1175/2007MWR2101.1 | |
journal fristpage | 4038 | |
journal lastpage | 4044 | |
tree | Monthly Weather Review:;2007:;volume( 135 ):;issue: 012 | |
contenttype | Fulltext |