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Element free galerkin (EFG) formulation in solving kinematic wave equation for hydrological modelling.

Meshfree methods such as Element Free Galerkin Method (EFG) are the cutting edge of numerical methods as it does not require user to perform meshing which often is time consuming and tedious. The method being "meshfree" for the user can theoretically generate more accurate models which fol...

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Main Authors:	Singh, Amrit, Hirol, Halinawati, Zainal Abidin, Ahmad Razin, Mohd. Noor, Mohd. Akbar, Mokhtazul Haizad, Mokhtaram, Mohd. Yassin, Airil Yasreen
Format:	Article
Language:	English
Published:	Semarak Ilmu Publishing 2023
Subjects:	TA Engineering (General). Civil engineering (General)
Online Access:	http://eprints.utm.my/108806/1/AmritSingh2023_ElementFreeGalerkinEFGFormulation.pdf http://eprints.utm.my/108806/ http://dx.doi.org/10.37934/araset.37.2.113
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id	my.utm.108806
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spelling	my.utm.1088062024-12-09T07:25:28Z http://eprints.utm.my/108806/ Element free galerkin (EFG) formulation in solving kinematic wave equation for hydrological modelling. Singh, Amrit Hirol, Halinawati Zainal Abidin, Ahmad Razin Mohd. Noor, Mohd. Akbar Mokhtazul Haizad, Mokhtaram Mohd. Yassin, Airil Yasreen TA Engineering (General). Civil engineering (General) Meshfree methods such as Element Free Galerkin Method (EFG) are the cutting edge of numerical methods as it does not require user to perform meshing which often is time consuming and tedious. The method being "meshfree" for the user can theoretically generate more accurate models which follow more complex boundary conditions such as natural rivers etc. The time saving and potential of higher accuracy in modelling makes EFG formulation an interesting research topic. EFG formulation is used to solve kinematic wave equations which is detailed in this paper. Galerkin weighted residual method using EFG’s shape function parameters is used to discretize the partial differential equation (PDE) of kinematic wave equations. To discretize the equations, a forward difference scheme is used for temporal discretization and Picard direct substitution method is employed to solve the nonlinear system at each time step. The formulations are validated by making a comparison between well-established numerical techniques against actual recorded datasets. After which it is found that EFG method agrees with conventional established techniques, thus validating the formulations as useful. To further investigate the usefulness of this formulation, an optimal performance study was also conducted to determine the most optimal shape function parameters. The optimal shape function values improved the performance to where it was found that established methods such as FDM were surpassed and on par with FEM. This shows that EFG is a good alternative for hydrological modelling. Semarak Ilmu Publishing 2023-01-16 Article PeerReviewed application/pdf en http://eprints.utm.my/108806/1/AmritSingh2023_ElementFreeGalerkinEFGFormulation.pdf Singh, Amrit and Hirol, Halinawati and Zainal Abidin, Ahmad Razin and Mohd. Noor, Mohd. Akbar and Mokhtazul Haizad, Mokhtaram and Mohd. Yassin, Airil Yasreen (2023) Element free galerkin (EFG) formulation in solving kinematic wave equation for hydrological modelling. ournal of Advanced Research in Applied Sciences and Engineering Technology, 37 (2). pp. 1-13. ISSN 2462-1943 http://dx.doi.org/10.37934/araset.37.2.113 DOI:10.37934/araset.37.2.113
institution	Universiti Teknologi Malaysia
building	UTM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Teknologi Malaysia
content_source	UTM Institutional Repository
url_provider	http://eprints.utm.my/
language	English
topic	TA Engineering (General). Civil engineering (General)
spellingShingle	TA Engineering (General). Civil engineering (General) Singh, Amrit Hirol, Halinawati Zainal Abidin, Ahmad Razin Mohd. Noor, Mohd. Akbar Mokhtazul Haizad, Mokhtaram Mohd. Yassin, Airil Yasreen Element free galerkin (EFG) formulation in solving kinematic wave equation for hydrological modelling.
description	Meshfree methods such as Element Free Galerkin Method (EFG) are the cutting edge of numerical methods as it does not require user to perform meshing which often is time consuming and tedious. The method being "meshfree" for the user can theoretically generate more accurate models which follow more complex boundary conditions such as natural rivers etc. The time saving and potential of higher accuracy in modelling makes EFG formulation an interesting research topic. EFG formulation is used to solve kinematic wave equations which is detailed in this paper. Galerkin weighted residual method using EFG’s shape function parameters is used to discretize the partial differential equation (PDE) of kinematic wave equations. To discretize the equations, a forward difference scheme is used for temporal discretization and Picard direct substitution method is employed to solve the nonlinear system at each time step. The formulations are validated by making a comparison between well-established numerical techniques against actual recorded datasets. After which it is found that EFG method agrees with conventional established techniques, thus validating the formulations as useful. To further investigate the usefulness of this formulation, an optimal performance study was also conducted to determine the most optimal shape function parameters. The optimal shape function values improved the performance to where it was found that established methods such as FDM were surpassed and on par with FEM. This shows that EFG is a good alternative for hydrological modelling.
format	Article
author	Singh, Amrit Hirol, Halinawati Zainal Abidin, Ahmad Razin Mohd. Noor, Mohd. Akbar Mokhtazul Haizad, Mokhtaram Mohd. Yassin, Airil Yasreen
author_facet	Singh, Amrit Hirol, Halinawati Zainal Abidin, Ahmad Razin Mohd. Noor, Mohd. Akbar Mokhtazul Haizad, Mokhtaram Mohd. Yassin, Airil Yasreen
author_sort	Singh, Amrit
title	Element free galerkin (EFG) formulation in solving kinematic wave equation for hydrological modelling.
title_short	Element free galerkin (EFG) formulation in solving kinematic wave equation for hydrological modelling.
title_full	Element free galerkin (EFG) formulation in solving kinematic wave equation for hydrological modelling.
title_fullStr	Element free galerkin (EFG) formulation in solving kinematic wave equation for hydrological modelling.
title_full_unstemmed	Element free galerkin (EFG) formulation in solving kinematic wave equation for hydrological modelling.
title_sort	element free galerkin (efg) formulation in solving kinematic wave equation for hydrological modelling.
publisher	Semarak Ilmu Publishing
publishDate	2023
url	http://eprints.utm.my/108806/1/AmritSingh2023_ElementFreeGalerkinEFGFormulation.pdf http://eprints.utm.my/108806/ http://dx.doi.org/10.37934/araset.37.2.113
_version_	1818834051699572736
score	13.223943

Element free galerkin (EFG) formulation in solving kinematic wave equation for hydrological modelling.

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