Incorporating spatially variable bottom stress and Coriolis force into 2D, a posteriori, unstructured mesh generation for shallow water models
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 truncat...
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ftunicentralflor:oai:stars.library.ucf.edu:facultybib2000-2985 2023-05-15T17:29:45+02:00 Incorporating spatially variable bottom stress and Coriolis force into 2D, a posteriori, unstructured mesh generation for shallow water models 2009-01-01T08:00:00Z https://stars.library.ucf.edu/facultybib2000/1986 English eng STARS https://stars.library.ucf.edu/facultybib2000/1986 Faculty Bibliography 2000s localized truncation error analysis unstructured mesh generation shallow water equations tidal computations complex derivatives Western North Atlantic Tidal model domain TRUNCATION ERROR ANALYSIS WESTERN NORTH-ATLANTIC FINITE-ELEMENT MODEL TIDAL MODELS TIDES EQUATIONS VELOCITY CURRENTS GRIDS Computer Science Interdisciplinary Applications Mathematics Mechanics Physics Fluids & Plasmas text 2009 ftunicentralflor 2021-12-21T09:04:58Z 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 (C) 2008 John Wiley & Sons, Ltd. Text North Atlantic University of Central Florida (UCF): STARS (Showcase of Text, Archives, Research & Scholarship) |
institution |
Open Polar |
collection |
University of Central Florida (UCF): STARS (Showcase of Text, Archives, Research & Scholarship) |
op_collection_id |
ftunicentralflor |
language |
English |
topic |
localized truncation error analysis unstructured mesh generation shallow water equations tidal computations complex derivatives Western North Atlantic Tidal model domain TRUNCATION ERROR ANALYSIS WESTERN NORTH-ATLANTIC FINITE-ELEMENT MODEL TIDAL MODELS TIDES EQUATIONS VELOCITY CURRENTS GRIDS Computer Science Interdisciplinary Applications Mathematics Mechanics Physics Fluids & Plasmas |
spellingShingle |
localized truncation error analysis unstructured mesh generation shallow water equations tidal computations complex derivatives Western North Atlantic Tidal model domain TRUNCATION ERROR ANALYSIS WESTERN NORTH-ATLANTIC FINITE-ELEMENT MODEL TIDAL MODELS TIDES EQUATIONS VELOCITY CURRENTS GRIDS Computer Science Interdisciplinary Applications Mathematics Mechanics Physics Fluids & Plasmas Incorporating spatially variable bottom stress and Coriolis force into 2D, a posteriori, unstructured mesh generation for shallow water models |
topic_facet |
localized truncation error analysis unstructured mesh generation shallow water equations tidal computations complex derivatives Western North Atlantic Tidal model domain TRUNCATION ERROR ANALYSIS WESTERN NORTH-ATLANTIC FINITE-ELEMENT MODEL TIDAL MODELS TIDES EQUATIONS VELOCITY CURRENTS GRIDS Computer Science Interdisciplinary Applications Mathematics Mechanics Physics Fluids & Plasmas |
description |
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 (C) 2008 John Wiley & Sons, Ltd. |
format |
Text |
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 |
STARS |
publishDate |
2009 |
url |
https://stars.library.ucf.edu/facultybib2000/1986 |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_source |
Faculty Bibliography 2000s |
op_relation |
https://stars.library.ucf.edu/facultybib2000/1986 |
_version_ |
1766124554276569088 |