Incorporating spatially variable bottom stress and Coriolis force into 2D, a posteriori, unstructured mesh generation for shallow water models
Abstract An enhanced version of our localized truncation error analysis with complex derivatives (LTEA−CD ) a posteriori approach to computing target element sizes for tidal, shallow water flow, LTEA+CD , is applied to the Western North Atlantic Tidal model domain. The LTEA + CD method utilizes loca...
Published in: | International Journal for Numerical Methods in Fluids |
---|---|
Main Authors: | , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
Wiley
2008
|
Subjects: | |
Online Access: | http://dx.doi.org/10.1002/fld.1882 https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Ffld.1882 https://onlinelibrary.wiley.com/doi/pdf/10.1002/fld.1882 |
id |
crwiley:10.1002/fld.1882 |
---|---|
record_format |
openpolar |
spelling |
crwiley:10.1002/fld.1882 2024-06-02T08:11:33+00:00 Incorporating spatially variable bottom stress and Coriolis force into 2D, a posteriori, unstructured mesh generation for shallow water models Parrish, D. Michael Hagen, Scott C. 2008 http://dx.doi.org/10.1002/fld.1882 https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Ffld.1882 https://onlinelibrary.wiley.com/doi/pdf/10.1002/fld.1882 en eng Wiley http://onlinelibrary.wiley.com/termsAndConditions#vor International Journal for Numerical Methods in Fluids volume 60, issue 3, page 237-261 ISSN 0271-2091 1097-0363 journal-article 2008 crwiley https://doi.org/10.1002/fld.1882 2024-05-03T11:56:00Z Abstract An enhanced version of our localized truncation error analysis with complex derivatives (LTEA−CD ) a posteriori approach to computing target element sizes for tidal, shallow water flow, LTEA+CD , is applied to the Western North Atlantic Tidal model domain. The LTEA + CD method utilizes localized truncation error estimates of the shallow water momentum equations and builds upon LTEA and LTEA−CD‐based techniques by including: (1) velocity fields from a nonlinear simulation with complete constituent forcing; (2) spatially variable bottom stress; and (3) Coriolis force. Use of complex derivatives in this case results in a simple truncation error expression, and the ability to compute localized truncation errors using difference equations that employ only seven to eight computational points. The compact difference molecules allow the computation of truncation error estimates and target element sizes throughout the domain, including along the boundary; this fact, along with inclusion of locally variable bottom stress and Coriolis force, constitute significant advancements beyond the capabilities of LTEA. The goal of LTEA + CD is to drive the truncation error to a more uniform, domain‐wide value by adjusting element sizes (we apply LTEA + CD by re‐meshing the entire domain, not by moving nodes). We find that LTEA + CD can produce a mesh that is comprised of fewer nodes and elements than an initial high‐resolution mesh while performing as well as the initial mesh when considering the resynthesized tidal signals (elevations). Copyright © 2008 John Wiley & Sons, Ltd. Article in Journal/Newspaper North Atlantic Wiley Online Library International Journal for Numerical Methods in Fluids 60 3 237 261 |
institution |
Open Polar |
collection |
Wiley Online Library |
op_collection_id |
crwiley |
language |
English |
description |
Abstract An enhanced version of our localized truncation error analysis with complex derivatives (LTEA−CD ) a posteriori approach to computing target element sizes for tidal, shallow water flow, LTEA+CD , is applied to the Western North Atlantic Tidal model domain. The LTEA + CD method utilizes localized truncation error estimates of the shallow water momentum equations and builds upon LTEA and LTEA−CD‐based techniques by including: (1) velocity fields from a nonlinear simulation with complete constituent forcing; (2) spatially variable bottom stress; and (3) Coriolis force. Use of complex derivatives in this case results in a simple truncation error expression, and the ability to compute localized truncation errors using difference equations that employ only seven to eight computational points. The compact difference molecules allow the computation of truncation error estimates and target element sizes throughout the domain, including along the boundary; this fact, along with inclusion of locally variable bottom stress and Coriolis force, constitute significant advancements beyond the capabilities of LTEA. The goal of LTEA + CD is to drive the truncation error to a more uniform, domain‐wide value by adjusting element sizes (we apply LTEA + CD by re‐meshing the entire domain, not by moving nodes). We find that LTEA + CD can produce a mesh that is comprised of fewer nodes and elements than an initial high‐resolution mesh while performing as well as the initial mesh when considering the resynthesized tidal signals (elevations). Copyright © 2008 John Wiley & Sons, Ltd. |
format |
Article in Journal/Newspaper |
author |
Parrish, D. Michael Hagen, Scott C. |
spellingShingle |
Parrish, D. Michael Hagen, Scott C. Incorporating spatially variable bottom stress and Coriolis force into 2D, a posteriori, unstructured mesh generation for shallow water models |
author_facet |
Parrish, D. Michael Hagen, Scott C. |
author_sort |
Parrish, D. Michael |
title |
Incorporating spatially variable bottom stress and Coriolis force into 2D, a posteriori, unstructured mesh generation for shallow water models |
title_short |
Incorporating spatially variable bottom stress and Coriolis force into 2D, a posteriori, unstructured mesh generation for shallow water models |
title_full |
Incorporating spatially variable bottom stress and Coriolis force into 2D, a posteriori, unstructured mesh generation for shallow water models |
title_fullStr |
Incorporating spatially variable bottom stress and Coriolis force into 2D, a posteriori, unstructured mesh generation for shallow water models |
title_full_unstemmed |
Incorporating spatially variable bottom stress and Coriolis force into 2D, a posteriori, unstructured mesh generation for shallow water models |
title_sort |
incorporating spatially variable bottom stress and coriolis force into 2d, a posteriori, unstructured mesh generation for shallow water models |
publisher |
Wiley |
publishDate |
2008 |
url |
http://dx.doi.org/10.1002/fld.1882 https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Ffld.1882 https://onlinelibrary.wiley.com/doi/pdf/10.1002/fld.1882 |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_source |
International Journal for Numerical Methods in Fluids volume 60, issue 3, page 237-261 ISSN 0271-2091 1097-0363 |
op_rights |
http://onlinelibrary.wiley.com/termsAndConditions#vor |
op_doi |
https://doi.org/10.1002/fld.1882 |
container_title |
International Journal for Numerical Methods in Fluids |
container_volume |
60 |
container_issue |
3 |
container_start_page |
237 |
op_container_end_page |
261 |
_version_ |
1800757734769950720 |