To continue or discontinue: Comparisons of continuous and discontinuous Galerkin formulations in a spectral element ocean model

J. C. Levin; M. Iskandarani; D. B. Haidvogel

doi:10.1016/j.ocemod.2005.10.001

To continue or discontinue: Comparisons of continuous and discontinuous Galerkin formulations in a spectral element ocean model

J. C. Levin, M. Iskandarani, D. B. Haidvogel

Ocean Sciences

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

The discontinuous Galerkin method is implemented in the spectral element ocean model to replace a continuous Galerkin discretization of the continuity and the tracer evolution equations. The aim is to improve the model's local conservation properties, and thus its performance in advection-dominated flows. The new model is validated against several oceanic benchmark problems, particularly ones that feature frontal structures and under-resolved features. Comparisons confirm the advantages of the DGM, including enhanced model robustness.

Original language	English (US)
Pages (from-to)	56-70
Number of pages	15
Journal	Ocean Modelling
Volume	15
Issue number	1-2
DOIs	https://doi.org/10.1016/j.ocemod.2005.10.001
State	Published - 2006

Keywords

Discontinuous Galerkin method
Ocean model
Oceanic simulation
Shallow water equations
Spectral element method

ASJC Scopus subject areas

Computer Science (miscellaneous)
Oceanography
Geotechnical Engineering and Engineering Geology
Atmospheric Science

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10.1016/j.ocemod.2005.10.001

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title = "To continue or discontinue: Comparisons of continuous and discontinuous Galerkin formulations in a spectral element ocean model",

abstract = "The discontinuous Galerkin method is implemented in the spectral element ocean model to replace a continuous Galerkin discretization of the continuity and the tracer evolution equations. The aim is to improve the model's local conservation properties, and thus its performance in advection-dominated flows. The new model is validated against several oceanic benchmark problems, particularly ones that feature frontal structures and under-resolved features. Comparisons confirm the advantages of the DGM, including enhanced model robustness.",

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author = "Levin, {J. C.} and M. Iskandarani and Haidvogel, {D. B.}",

note = "Funding Information: The present research was supported in part by ONR grant N00014-03-1-0254 and N00014-03-1-0255.",

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T2 - Comparisons of continuous and discontinuous Galerkin formulations in a spectral element ocean model

AU - Levin, J. C.

AU - Iskandarani, M.

AU - Haidvogel, D. B.

N1 - Funding Information: The present research was supported in part by ONR grant N00014-03-1-0254 and N00014-03-1-0255.

PY - 2006

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N2 - The discontinuous Galerkin method is implemented in the spectral element ocean model to replace a continuous Galerkin discretization of the continuity and the tracer evolution equations. The aim is to improve the model's local conservation properties, and thus its performance in advection-dominated flows. The new model is validated against several oceanic benchmark problems, particularly ones that feature frontal structures and under-resolved features. Comparisons confirm the advantages of the DGM, including enhanced model robustness.

AB - The discontinuous Galerkin method is implemented in the spectral element ocean model to replace a continuous Galerkin discretization of the continuity and the tracer evolution equations. The aim is to improve the model's local conservation properties, and thus its performance in advection-dominated flows. The new model is validated against several oceanic benchmark problems, particularly ones that feature frontal structures and under-resolved features. Comparisons confirm the advantages of the DGM, including enhanced model robustness.

KW - Discontinuous Galerkin method

KW - Ocean model

KW - Oceanic simulation

KW - Shallow water equations

KW - Spectral element method

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To continue or discontinue: Comparisons of continuous and discontinuous Galerkin formulations in a spectral element ocean model

Abstract

Keywords

ASJC Scopus subject areas

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