A dynamical core based on a discontinuous Galerkin method for higher-order finite-element sea ice modeling Article Swipe
Thomas Richter
,
Véronique Dansereau
,
Christian Lessig
,
Piotr Minakowski
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.5194/gmd-16-3907-2023
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.5194/gmd-16-3907-2023
The ability of numerical sea ice models to reproduce localized deformation features associated with fracture processes is key for an accurate representation of the ice dynamics and of dynamically coupled physical processes in the Arctic and Antarctic. Equally key is the capacity of these models to minimize the numerical diffusion stemming from the advection of these features to ensure that the associated strong gradients persist in time, without the need to unphysically re-inject energy for re-localization. To control diffusion and improve the approximation quality, we present a new numerical core for the dynamics of sea ice that is based on higher-order finite-element discretizations for the momentum equation and higher-order discontinuous Galerkin methods for the advection. The mathematical properties of this core are discussed, and a detailed description of an efficient shared-memory parallel implementation is given. In addition, we present different numerical tests and apply the new framework to a benchmark problem to quantify the advantages of the higher-order discretization. These tests are based on Hibler's viscous–plastic sea ice model, but the implementation of the developed framework in the context of other physical models reproducing a strong localization of the deformation is possible.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.5194/gmd-16-3907-2023
- OA Status
- gold
- Cited By
- 4
- References
- 51
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4384383086
All OpenAlex metadata
Raw OpenAlex JSON
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https://openalex.org/W4384383086Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.5194/gmd-16-3907-2023Digital Object Identifier
- Title
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A dynamical core based on a discontinuous Galerkin method for higher-order finite-element sea ice modelingWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-07-13Full publication date if available
- Authors
-
Thomas Richter, Véronique Dansereau, Christian Lessig, Piotr MinakowskiList of authors in order
- Landing page
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https://doi.org/10.5194/gmd-16-3907-2023Publisher landing page
- Open access
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goldOpen access status per OpenAlex
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https://doi.org/10.5194/gmd-16-3907-2023Direct OA link when available
- Concepts
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Discontinuous Galerkin method, Discretization, Advection, Context (archaeology), Finite element method, Computer science, Galerkin method, Applied mathematics, Benchmark (surveying), Statistical physics, Mechanics, Geology, Mathematics, Physics, Mathematical analysis, Geodesy, Thermodynamics, PaleontologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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4Total citation count in OpenAlex
- Citations by year (recent)
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2025: 1, 2024: 3Per-year citation counts (last 5 years)
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51Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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