Simple algorithms to compute meridional overturning and barotropic streamfunctions on unstructured meshes

Simple algorithms to compute meridional overturning and barotropic streamfunctions on unstructured meshes

<p>Computation of barotropic and meridional overturning streamfunctions for models formulated on unstructured meshes is commonly preceded by interpolation to a regular mesh. This operation destroys the original conservation, which can be then artificially imposed to make the computation possib...

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Main Authors: D. Sidorenko, S. Danilov, N. Koldunov, P. Scholz, Q. Wang
Format: Article
Language:English
Published: Copernicus Publications 2020-07-01
Series:Geoscientific Model Development
Online Access:https://gmd.copernicus.org/articles/13/3337/2020/gmd-13-3337-2020.pdf
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spelling doaj-6789a826c7eb47edac607aa656983f182020-11-25T03:05:52ZengCopernicus PublicationsGeoscientific Model Development1991-959X1991-96032020-07-01133337334510.5194/gmd-13-3337-2020Simple algorithms to compute meridional overturning and barotropic streamfunctions on unstructured meshesD. Sidorenko0S. Danilov1S. Danilov2S. Danilov3N. Koldunov4N. Koldunov5P. Scholz6Q. Wang7Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Bremerhaven, GermanyAlfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Bremerhaven, GermanyDepartment of Mathematics & Logistics, Jacobs University, Bremen, GermanyA. M. Obukhov Institute of Atmospheric Physics, RAS, Moscow, RussiaAlfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Bremerhaven, GermanyMARUM – Center for Marine Environmental Sciences, Universität Bremen, Bremen, GermanyAlfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Bremerhaven, GermanyAlfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Bremerhaven, Germany<p>Computation of barotropic and meridional overturning streamfunctions for models formulated on unstructured meshes is commonly preceded by interpolation to a regular mesh. This operation destroys the original conservation, which can be then artificially imposed to make the computation possible. An elementary method is proposed that avoids interpolation and preserves conservation in a strict model sense. The method is described as applied to the discretization of the Finite volumE Sea ice – Ocean Model (FESOM2) on triangular meshes. It, however, is generalizable to colocated vertex-based discretization on triangular meshes and to both triangular and hexagonal C-grid discretizations.</p>https://gmd.copernicus.org/articles/13/3337/2020/gmd-13-3337-2020.pdf
collection DOAJ
language English
format Article
sources DOAJ
author D. Sidorenko
S. Danilov
S. Danilov
S. Danilov
N. Koldunov
N. Koldunov
P. Scholz
Q. Wang
spellingShingle D. Sidorenko
S. Danilov
S. Danilov
S. Danilov
N. Koldunov
N. Koldunov
P. Scholz
Q. Wang
Simple algorithms to compute meridional overturning and barotropic streamfunctions on unstructured meshes
Geoscientific Model Development
author_facet D. Sidorenko
S. Danilov
S. Danilov
S. Danilov
N. Koldunov
N. Koldunov
P. Scholz
Q. Wang
author_sort D. Sidorenko
title Simple algorithms to compute meridional overturning and barotropic streamfunctions on unstructured meshes
title_short Simple algorithms to compute meridional overturning and barotropic streamfunctions on unstructured meshes
title_full Simple algorithms to compute meridional overturning and barotropic streamfunctions on unstructured meshes
title_fullStr Simple algorithms to compute meridional overturning and barotropic streamfunctions on unstructured meshes
title_full_unstemmed Simple algorithms to compute meridional overturning and barotropic streamfunctions on unstructured meshes
title_sort simple algorithms to compute meridional overturning and barotropic streamfunctions on unstructured meshes
publisher Copernicus Publications
series Geoscientific Model Development
issn 1991-959X
1991-9603
publishDate 2020-07-01
description <p>Computation of barotropic and meridional overturning streamfunctions for models formulated on unstructured meshes is commonly preceded by interpolation to a regular mesh. This operation destroys the original conservation, which can be then artificially imposed to make the computation possible. An elementary method is proposed that avoids interpolation and preserves conservation in a strict model sense. The method is described as applied to the discretization of the Finite volumE Sea ice – Ocean Model (FESOM2) on triangular meshes. It, however, is generalizable to colocated vertex-based discretization on triangular meshes and to both triangular and hexagonal C-grid discretizations.</p>
url https://gmd.copernicus.org/articles/13/3337/2020/gmd-13-3337-2020.pdf
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