dc.contributor.author | Holm, Håvard Heitlo | |
dc.contributor.author | Brodtkorb, André R. | |
dc.contributor.author | Brostrøm, Gøran | |
dc.contributor.author | Christensen, Kai Håkon | |
dc.contributor.author | Sætra, Martin Lilleeng | |
dc.date.accessioned | 2020-03-10T13:00:00Z | |
dc.date.accessioned | 2020-03-11T14:48:52Z | |
dc.date.available | 2020-03-10T13:00:00Z | |
dc.date.available | 2020-03-11T14:48:52Z | |
dc.date.issued | 2020-05-24 | |
dc.identifier.citation | Holm HH, Brodtkorb A, Brostrøm G, Christensen KH, Sætra ML. Evaluation of selected finite-difference and finite-volume approaches to rotational shallow-water flow. Communications in Computational Physics. 2020 | en |
dc.identifier.issn | 1815-2406 | |
dc.identifier.issn | 1815-2406 | |
dc.identifier.issn | 1991-7120 | |
dc.identifier.uri | https://hdl.handle.net/10642/8267 | |
dc.description.abstract | The shallow-water equations in a rotating frame of reference are important for capturing geophysical flows in the ocean. In this paper, we examine and compare two traditional finite-difference schemes and two modern finite-volume schemes for simulating these equations. We evaluate how well they capture the relevant physics for problems such as storm surge and drift trajectory modelling, and the schemes are put through a set of six test cases. The results are presented in a systematic manner through several tables, and we compare the qualitative and quantitative performance from a cost-benefit perspective. Of the four schemes, one of the traditional finitedifference schemes performs best in cases dominated by geostrophic balance, and one of the modern finite-volume schemes is superior for capturing gravity-driven motion. The traditional finite-difference schemes are significantly faster computationally than the modern finite-volume schemes. | en |
dc.description.sponsorship | This work is supported by the Research Council of Norway through grant number 250935 (GPU Ocean). | en |
dc.language.iso | en | en |
dc.publisher | Global Science Press | en |
dc.relation.ispartofseries | Communications in Computational Physics;Volume 27, Issue 4 | |
dc.rights | The Work may be reproduced by any means for educational and scientific purposes by the Author(s) or by others without fee or permission with the exception of reproduction by services that collect fees for delivery of documents. The Author(s) may use part or all of this Work or its image in any further work of his/her (their) own. In any reproduction, the original publication by the Publisher must be credited in the following manner: "First published in [Publication] in [volume and number, or year], published by Global Science Press," and the copyright notice in proper form must be placed on all copies. Any publication or other form of reproduction not meeting these requirements will be deemed unauthorized. | en |
dc.rights | First published in Communications in Computational Physics in Volume 27, Issue 4, published by Global Science Press. DOI: https://dx.doi.org/10.4208/cicp.OA-2019-0033 | |
dc.subject | Rotational shallow water simulations | en |
dc.subject | Storm surge modelling | en |
dc.subject | Hyperbolic conservation laws | en |
dc.subject | High resolution finite volume methods | en |
dc.subject | Test cases | en |
dc.subject | Verifications | en |
dc.title | Evaluation of selected finite-difference and finite-volume approaches to rotational shallow-water flow | en |
dc.type | Journal article | en |
dc.type | Peer reviewed | en |
dc.date.updated | 2020-03-10T13:00:00Z | |
dc.description.version | acceptedVersion | en |
dc.identifier.doi | https://dx.doi.org/10.4208/cicp.OA-2019-0033 | |
dc.identifier.cristin | 1767491 | |
dc.source.journal | Communications in Computational Physics | |