Van Oers, AM, Maas, LRM and Bokhove, O (2017) Hamiltonian discontinuous Galerkin FEM for linear, stratified (in)compressible Euler equations: internal gravity waves. Journal of Computational Physics, 330. pp. 770-793. ISSN 0021-9991
Abstract
The linear equations governing internal gravity waves in a stratified ideal fluid possess a Hamiltonian structure. A discontinuous Galerkin finite element method has been developed in which this Hamiltonian structure is discretized, resulting in conservation of discrete analogs of phase space and energy. This required (i) the discretization of the Hamiltonian structure using alternating flux functions and symplectic time integration, (ii) the discretization of a divergence-free velocity field using Dirac's theory of constraints and (iii) the handling of large-scale computational demands due to the 3-dimensional nature of internal gravity waves and, in confined, symmetry-breaking fluid domains, possibly its narrow zones of attraction.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | ©2016 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
Keywords: | Linear stratified Euler equations; Hamiltonian structure; Discontinuous Galerkin method; Internal gravity waves; Wave attractors |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 20 Oct 2016 15:24 |
Last Modified: | 07 Oct 2017 13:49 |
Published Version: | https://doi.org/10.1016/j.jcp.2016.10.032 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.jcp.2016.10.032 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:106287 |