Variational integrator for the rotating shallow‐water equations on the sphere-Reference-Cited by-同舟云学术

Variational integrator for the rotating shallow‐water equations on the sphere

Published:2019-03-05 Issue:720 Volume:145 Page:1070-1088
ISSN:0035-9009
Container-title:Quarterly Journal of the Royal Meteorological Society
language:en
Short-container-title:Q.J.R. Meteorol. Soc.

Author:

Brecht Rüdiger¹^ORCID,Bauer Werner²^ORCID,Bihlo Alexander¹,Gay‐Balmaz François³^ORCID,MacLachlan Scott¹

Affiliation:

1. Department of Mathematics and StatisticsMemorial University of Newfoundland St John's Newfoundland Canada

2. Department of MathematicsImperial College London London UK

3. École Normale Supérieure/CNRSLaboratoire de Météorologie Dynamique Paris France

Funder

Canada Research Chairs

Natural Sciences and Engineering Research Council of Canada

Horizon 2020 Framework Programme

Agence Nationale de la Recherche

Publisher

Wiley

Subject

Atmospheric Science

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/qj.3477

Reference35 articles.

1. A Potential Enstrophy and Energy Conserving Scheme for the Shallow Water Equations

2. Bauer W.(2013).Toward goal‐oriented R‐adaptive models in geophysical fluid dynamics using a generalized discretization approach. PhD thesis Department of Geosciences University of Hamburg.

3. Bauer W.andGay‐Balmaz F.(2017).Variational integrators for anelastic and pseudo‐incompressible flows. arXiv preprint arXiv: 1701.06448.

4. Towards a geometric variational discretization of compressible fluids: The rotating shallow water equations

5. B-Methods for the Numerical Solution of Evolution Problems with Blow-Up Solutions Part I: Variation of the Constant

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