A Weighted-Least-Squares Meshless Model for Non-Hydrostatic Shallow Water Waves

In this paper, an explicit time marching procedure for solving the non-hydrostatic shallow water equation (SWE) problems is developed. The procedure includes a process of prediction and several iterations of correction. In these processes, it is essential to accurately calculate the spatial derives...

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Autores principales:	Nan-Jing Wu, Yin-Ming Su, Shih-Chun Hsiao, Shin-Jye Liang, Tai-Wen Hsu
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	non-hydrostatic shallow water equations meshless method weighted-least-squares Hydraulic engineering TC1-978 Water supply for domestic and industrial purposes TD201-500
Acceso en línea:	https://doaj.org/article/ad03b0d32bb24886843608f2c43bad67
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id	oai:doaj.org-article:ad03b0d32bb24886843608f2c43bad67
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spelling	oai:doaj.org-article:ad03b0d32bb24886843608f2c43bad672021-11-25T19:15:22ZA Weighted-Least-Squares Meshless Model for Non-Hydrostatic Shallow Water Waves10.3390/w132231952073-4441https://doaj.org/article/ad03b0d32bb24886843608f2c43bad672021-11-01T00:00:00Zhttps://www.mdpi.com/2073-4441/13/22/3195https://doaj.org/toc/2073-4441In this paper, an explicit time marching procedure for solving the non-hydrostatic shallow water equation (SWE) problems is developed. The procedure includes a process of prediction and several iterations of correction. In these processes, it is essential to accurately calculate the spatial derives of the physical quantities such as the temporal water depth, the average velocities in the horizontal and vertical directions, and the dynamic pressure at the bottom. The weighted-least-squares (WLS) meshless method is employed to calculate these spatial derivatives. Though the non-hydrostatic shallow water equations are two dimensional, on the focus of presenting this new time marching approach, we just use one dimensional benchmark problems to validate and demonstrate the stability and accuracy of the present model. Good agreements are found in the comparing the present numerical results with analytic solutions, experiment data, or other numerical results.Nan-Jing WuYin-Ming SuShih-Chun HsiaoShin-Jye LiangTai-Wen HsuMDPI AGarticlenon-hydrostaticshallow water equationsmeshless methodweighted-least-squaresHydraulic engineeringTC1-978Water supply for domestic and industrial purposesTD201-500ENWater, Vol 13, Iss 3195, p 3195 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	non-hydrostatic shallow water equations meshless method weighted-least-squares Hydraulic engineering TC1-978 Water supply for domestic and industrial purposes TD201-500
spellingShingle	non-hydrostatic shallow water equations meshless method weighted-least-squares Hydraulic engineering TC1-978 Water supply for domestic and industrial purposes TD201-500 Nan-Jing Wu Yin-Ming Su Shih-Chun Hsiao Shin-Jye Liang Tai-Wen Hsu A Weighted-Least-Squares Meshless Model for Non-Hydrostatic Shallow Water Waves
description	In this paper, an explicit time marching procedure for solving the non-hydrostatic shallow water equation (SWE) problems is developed. The procedure includes a process of prediction and several iterations of correction. In these processes, it is essential to accurately calculate the spatial derives of the physical quantities such as the temporal water depth, the average velocities in the horizontal and vertical directions, and the dynamic pressure at the bottom. The weighted-least-squares (WLS) meshless method is employed to calculate these spatial derivatives. Though the non-hydrostatic shallow water equations are two dimensional, on the focus of presenting this new time marching approach, we just use one dimensional benchmark problems to validate and demonstrate the stability and accuracy of the present model. Good agreements are found in the comparing the present numerical results with analytic solutions, experiment data, or other numerical results.
format	article
author	Nan-Jing Wu Yin-Ming Su Shih-Chun Hsiao Shin-Jye Liang Tai-Wen Hsu
author_facet	Nan-Jing Wu Yin-Ming Su Shih-Chun Hsiao Shin-Jye Liang Tai-Wen Hsu
author_sort	Nan-Jing Wu
title	A Weighted-Least-Squares Meshless Model for Non-Hydrostatic Shallow Water Waves
title_short	A Weighted-Least-Squares Meshless Model for Non-Hydrostatic Shallow Water Waves
title_full	A Weighted-Least-Squares Meshless Model for Non-Hydrostatic Shallow Water Waves
title_fullStr	A Weighted-Least-Squares Meshless Model for Non-Hydrostatic Shallow Water Waves
title_full_unstemmed	A Weighted-Least-Squares Meshless Model for Non-Hydrostatic Shallow Water Waves
title_sort	weighted-least-squares meshless model for non-hydrostatic shallow water waves
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/ad03b0d32bb24886843608f2c43bad67
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A Weighted-Least-Squares Meshless Model for Non-Hydrostatic Shallow Water Waves

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