2D Unstructured Mesh Generation For Oceanic And Coastal Tidal Models From A Localized Truncation Error Analysis With Complex Derivatives
A method for computing target element size for tidal, shallow water flow is developed and demonstrated. The method, Localized truncation error analysis with complex derivatives (LTEA-CD) utilizes localized truncation error estimates of the linearized shallow water momentum equations consisting of co...
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ftunicentralflor:oai:stars.library.ucf.edu:scopus2000-7437 2023-05-15T17:30:24+02:00 2D Unstructured Mesh Generation For Oceanic And Coastal Tidal Models From A Localized Truncation Error Analysis With Complex Derivatives Parrish, D. M. Hagen, S. C. 2007-08-01T07:00:00Z https://stars.library.ucf.edu/scopus2000/6438 unknown STARS https://stars.library.ucf.edu/scopus2000/6438 Scopus Export 2000s Complex derivatives Localized truncation error analysis Shallow water equations Tidal computations Unstructured mesh generation Western North Atlantic tidal model domain text 2007 ftunicentralflor 2022-07-25T17:36:34Z A method for computing target element size for tidal, shallow water flow is developed and demonstrated. The method, Localized truncation error analysis with complex derivatives (LTEA-CD) utilizes localized truncation error estimates of the linearized shallow water momentum equations consisting of complex derivative terms. This application of complex derivatives is the chief way in which the method differs from a similar existing method, LTEA. It is shown that LTEA-CD produces results that are essentially equivalent to those of LTEA (which in turn has been demonstrated to be capable of producing practicable target element sizes) with reduced computational cost. Moreover, LTEA-CD is capable of computing truncation error and corresponding target element sizes at locations up to and including the boundary, whereas LTEA can be applied only on the interior of the model domain. We demonstrate the convergence of solutions over meshes generated with LTEA-CD using an idealized representation of the western North Atlantic Ocean, Caribbean Sea and Gulf of Mexico. Text North Atlantic University of Central Florida (UCF): STARS (Showcase of Text, Archives, Research & Scholarship) |
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Open Polar |
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University of Central Florida (UCF): STARS (Showcase of Text, Archives, Research & Scholarship) |
op_collection_id |
ftunicentralflor |
language |
unknown |
topic |
Complex derivatives Localized truncation error analysis Shallow water equations Tidal computations Unstructured mesh generation Western North Atlantic tidal model domain |
spellingShingle |
Complex derivatives Localized truncation error analysis Shallow water equations Tidal computations Unstructured mesh generation Western North Atlantic tidal model domain Parrish, D. M. Hagen, S. C. 2D Unstructured Mesh Generation For Oceanic And Coastal Tidal Models From A Localized Truncation Error Analysis With Complex Derivatives |
topic_facet |
Complex derivatives Localized truncation error analysis Shallow water equations Tidal computations Unstructured mesh generation Western North Atlantic tidal model domain |
description |
A method for computing target element size for tidal, shallow water flow is developed and demonstrated. The method, Localized truncation error analysis with complex derivatives (LTEA-CD) utilizes localized truncation error estimates of the linearized shallow water momentum equations consisting of complex derivative terms. This application of complex derivatives is the chief way in which the method differs from a similar existing method, LTEA. It is shown that LTEA-CD produces results that are essentially equivalent to those of LTEA (which in turn has been demonstrated to be capable of producing practicable target element sizes) with reduced computational cost. Moreover, LTEA-CD is capable of computing truncation error and corresponding target element sizes at locations up to and including the boundary, whereas LTEA can be applied only on the interior of the model domain. We demonstrate the convergence of solutions over meshes generated with LTEA-CD using an idealized representation of the western North Atlantic Ocean, Caribbean Sea and Gulf of Mexico. |
format |
Text |
author |
Parrish, D. M. Hagen, S. C. |
author_facet |
Parrish, D. M. Hagen, S. C. |
author_sort |
Parrish, D. M. |
title |
2D Unstructured Mesh Generation For Oceanic And Coastal Tidal Models From A Localized Truncation Error Analysis With Complex Derivatives |
title_short |
2D Unstructured Mesh Generation For Oceanic And Coastal Tidal Models From A Localized Truncation Error Analysis With Complex Derivatives |
title_full |
2D Unstructured Mesh Generation For Oceanic And Coastal Tidal Models From A Localized Truncation Error Analysis With Complex Derivatives |
title_fullStr |
2D Unstructured Mesh Generation For Oceanic And Coastal Tidal Models From A Localized Truncation Error Analysis With Complex Derivatives |
title_full_unstemmed |
2D Unstructured Mesh Generation For Oceanic And Coastal Tidal Models From A Localized Truncation Error Analysis With Complex Derivatives |
title_sort |
2d unstructured mesh generation for oceanic and coastal tidal models from a localized truncation error analysis with complex derivatives |
publisher |
STARS |
publishDate |
2007 |
url |
https://stars.library.ucf.edu/scopus2000/6438 |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_source |
Scopus Export 2000s |
op_relation |
https://stars.library.ucf.edu/scopus2000/6438 |
_version_ |
1766126781327212544 |