Two finite-volume unstructured mesh models for large-scale ocean modeling

Two approaches pertaining to modeling large-scale ocean circulation on unstructured meshes are described. Both use the finite-volume ideology, unstructured surface triangular mesh and geopotential vertical coordinate, and promise better numerical efficiency than P1–P1 finite element models. The firs...

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Published in:Ocean Modelling
Main Author: Danilov, Sergey
Format: Article in Journal/Newspaper
Language:unknown
Published: ELSEVIER SCI LTD 2012
Subjects:
Online Access:https://epic.awi.de/id/eprint/26016/
https://epic.awi.de/id/eprint/26016/1/agrid.pdf
http://www.sciencedirect.com/science/article/pii/S1463500312000194
https://hdl.handle.net/10013/epic.39016
https://hdl.handle.net/10013/epic.39016.d001
id ftawi:oai:epic.awi.de:26016
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spelling ftawi:oai:epic.awi.de:26016 2023-05-15T17:33:24+02:00 Two finite-volume unstructured mesh models for large-scale ocean modeling Danilov, Sergey 2012-02-08 application/pdf https://epic.awi.de/id/eprint/26016/ https://epic.awi.de/id/eprint/26016/1/agrid.pdf http://www.sciencedirect.com/science/article/pii/S1463500312000194 https://hdl.handle.net/10013/epic.39016 https://hdl.handle.net/10013/epic.39016.d001 unknown ELSEVIER SCI LTD https://epic.awi.de/id/eprint/26016/1/agrid.pdf https://hdl.handle.net/10013/epic.39016.d001 Danilov, S. orcid:0000-0001-8098-182X (2012) Two finite-volume unstructured mesh models for large-scale ocean modeling , Ocean Modelling, 47 , pp. 14-25 . doi:10.1016/j.ocemod.2012.01.004 <https://doi.org/10.1016/j.ocemod.2012.01.004> , hdl:10013/epic.39016 EPIC3Ocean Modelling, ELSEVIER SCI LTD, 47, pp. 14-25, ISSN: 1463-5003 Article isiRev 2012 ftawi https://doi.org/10.1016/j.ocemod.2012.01.004 2021-12-24T15:35:36Z Two approaches pertaining to modeling large-scale ocean circulation on unstructured meshes are described. Both use the finite-volume ideology, unstructured surface triangular mesh and geopotential vertical coordinate, and promise better numerical efficiency than P1–P1 finite element models. The first one is formulated on median-dual control volumes for all variables and presents a finite-volume implementation of P1–P1 finite-element discretization (A-grid). The second one differs by the cell-centered placement of horizontal velocities (quasi-B-grid). Two practical tasks have to be solved to ensure their stable performance in long-term simulations. For triangular A-grids, it is the stabilization against pressure modes triggered by the stepwise bottom topography. The proposed solution preserves volume and tracers by introducing a composite representation for the horizontal velocity (with an elementwise- constant velocity correction). The quasi-B-grid setup is free of pressure modes but requires efficient filtering and dissipation in the momentum equation because of its too large velocity space. Implementations of momentum advection and viscosity that serve this goal are proposed. Both setups show stable performance and similar numerical efficiency, as exemplified by simulations of a baroclinic channel flow and circulation in the North Atlantic. Article in Journal/Newspaper North Atlantic Alfred Wegener Institute for Polar- and Marine Research (AWI): ePIC (electronic Publication Information Center) Ocean Modelling 47 14 25
institution Open Polar
collection Alfred Wegener Institute for Polar- and Marine Research (AWI): ePIC (electronic Publication Information Center)
op_collection_id ftawi
language unknown
description Two approaches pertaining to modeling large-scale ocean circulation on unstructured meshes are described. Both use the finite-volume ideology, unstructured surface triangular mesh and geopotential vertical coordinate, and promise better numerical efficiency than P1–P1 finite element models. The first one is formulated on median-dual control volumes for all variables and presents a finite-volume implementation of P1–P1 finite-element discretization (A-grid). The second one differs by the cell-centered placement of horizontal velocities (quasi-B-grid). Two practical tasks have to be solved to ensure their stable performance in long-term simulations. For triangular A-grids, it is the stabilization against pressure modes triggered by the stepwise bottom topography. The proposed solution preserves volume and tracers by introducing a composite representation for the horizontal velocity (with an elementwise- constant velocity correction). The quasi-B-grid setup is free of pressure modes but requires efficient filtering and dissipation in the momentum equation because of its too large velocity space. Implementations of momentum advection and viscosity that serve this goal are proposed. Both setups show stable performance and similar numerical efficiency, as exemplified by simulations of a baroclinic channel flow and circulation in the North Atlantic.
format Article in Journal/Newspaper
author Danilov, Sergey
spellingShingle Danilov, Sergey
Two finite-volume unstructured mesh models for large-scale ocean modeling
author_facet Danilov, Sergey
author_sort Danilov, Sergey
title Two finite-volume unstructured mesh models for large-scale ocean modeling
title_short Two finite-volume unstructured mesh models for large-scale ocean modeling
title_full Two finite-volume unstructured mesh models for large-scale ocean modeling
title_fullStr Two finite-volume unstructured mesh models for large-scale ocean modeling
title_full_unstemmed Two finite-volume unstructured mesh models for large-scale ocean modeling
title_sort two finite-volume unstructured mesh models for large-scale ocean modeling
publisher ELSEVIER SCI LTD
publishDate 2012
url https://epic.awi.de/id/eprint/26016/
https://epic.awi.de/id/eprint/26016/1/agrid.pdf
http://www.sciencedirect.com/science/article/pii/S1463500312000194
https://hdl.handle.net/10013/epic.39016
https://hdl.handle.net/10013/epic.39016.d001
genre North Atlantic
genre_facet North Atlantic
op_source EPIC3Ocean Modelling, ELSEVIER SCI LTD, 47, pp. 14-25, ISSN: 1463-5003
op_relation https://epic.awi.de/id/eprint/26016/1/agrid.pdf
https://hdl.handle.net/10013/epic.39016.d001
Danilov, S. orcid:0000-0001-8098-182X (2012) Two finite-volume unstructured mesh models for large-scale ocean modeling , Ocean Modelling, 47 , pp. 14-25 . doi:10.1016/j.ocemod.2012.01.004 <https://doi.org/10.1016/j.ocemod.2012.01.004> , hdl:10013/epic.39016
op_doi https://doi.org/10.1016/j.ocemod.2012.01.004
container_title Ocean Modelling
container_volume 47
container_start_page 14
op_container_end_page 25
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