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Numerical simulation of metal removal in laser drilling using meshless local Petrov–Galerkin collocation method

A simplified 2D axisymmetric meshfree model of transient metal laser drilling is proposed for a continuous laser beam of Gaussian distribution. The penetration depth is predicted over the whole ablation time. The meshless local Petrov–Galerkin (MLPG) collocation method is used for discretizing the g...

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Main Authors:	Abidou, Diaa, Sarhan, Ahmed Aly Diaa Mohammed, Yusoff, Nukman, Nik-Ghazali, Nik Nazri, Awang, Md Abu Omar, Hassan, Mohsen A.
Format:	Article
Published:	Elsevier 2018
Subjects:	Q Science (General) QA Mathematics TJ Mechanical engineering and machinery
Online Access:	http://eprints.um.edu.my/22727/ https://doi.org/10.1016/j.apm.2017.08.032
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id	my.um.eprints.22727
record_format	eprints
spelling	my.um.eprints.227272019-10-14T02:53:28Z http://eprints.um.edu.my/22727/ Numerical simulation of metal removal in laser drilling using meshless local Petrov–Galerkin collocation method Abidou, Diaa Sarhan, Ahmed Aly Diaa Mohammed Yusoff, Nukman Nik-Ghazali, Nik Nazri Awang, Md Abu Omar Hassan, Mohsen A. Q Science (General) QA Mathematics TJ Mechanical engineering and machinery A simplified 2D axisymmetric meshfree model of transient metal laser drilling is proposed for a continuous laser beam of Gaussian distribution. The penetration depth is predicted over the whole ablation time. The meshless local Petrov–Galerkin (MLPG) collocation method is used for discretizing the governing equation. Moving least square (MLS) and weighted least square (WLS) are used for approximating the local temperature field. The scheme is constructed in MATLAB, and the results are compared with previous numerical and experimental studies. The numerical results agree with the previous work, thus showing the models reliability in predicting the penetration depth for such a physically complex process. Elsevier 2018 Article PeerReviewed Abidou, Diaa and Sarhan, Ahmed Aly Diaa Mohammed and Yusoff, Nukman and Nik-Ghazali, Nik Nazri and Awang, Md Abu Omar and Hassan, Mohsen A. (2018) Numerical simulation of metal removal in laser drilling using meshless local Petrov–Galerkin collocation method. Applied Mathematical Modelling, 56. pp. 239-253. ISSN 0307-904X https://doi.org/10.1016/j.apm.2017.08.032 doi:10.1016/j.apm.2017.08.032
institution	Universiti Malaya
building	UM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Malaya
content_source	UM Research Repository
url_provider	http://eprints.um.edu.my/
topic	Q Science (General) QA Mathematics TJ Mechanical engineering and machinery
spellingShingle	Q Science (General) QA Mathematics TJ Mechanical engineering and machinery Abidou, Diaa Sarhan, Ahmed Aly Diaa Mohammed Yusoff, Nukman Nik-Ghazali, Nik Nazri Awang, Md Abu Omar Hassan, Mohsen A. Numerical simulation of metal removal in laser drilling using meshless local Petrov–Galerkin collocation method
description	A simplified 2D axisymmetric meshfree model of transient metal laser drilling is proposed for a continuous laser beam of Gaussian distribution. The penetration depth is predicted over the whole ablation time. The meshless local Petrov–Galerkin (MLPG) collocation method is used for discretizing the governing equation. Moving least square (MLS) and weighted least square (WLS) are used for approximating the local temperature field. The scheme is constructed in MATLAB, and the results are compared with previous numerical and experimental studies. The numerical results agree with the previous work, thus showing the models reliability in predicting the penetration depth for such a physically complex process.
format	Article
author	Abidou, Diaa Sarhan, Ahmed Aly Diaa Mohammed Yusoff, Nukman Nik-Ghazali, Nik Nazri Awang, Md Abu Omar Hassan, Mohsen A.
author_facet	Abidou, Diaa Sarhan, Ahmed Aly Diaa Mohammed Yusoff, Nukman Nik-Ghazali, Nik Nazri Awang, Md Abu Omar Hassan, Mohsen A.
author_sort	Abidou, Diaa
title	Numerical simulation of metal removal in laser drilling using meshless local Petrov–Galerkin collocation method
title_short	Numerical simulation of metal removal in laser drilling using meshless local Petrov–Galerkin collocation method
title_full	Numerical simulation of metal removal in laser drilling using meshless local Petrov–Galerkin collocation method
title_fullStr	Numerical simulation of metal removal in laser drilling using meshless local Petrov–Galerkin collocation method
title_full_unstemmed	Numerical simulation of metal removal in laser drilling using meshless local Petrov–Galerkin collocation method
title_sort	numerical simulation of metal removal in laser drilling using meshless local petrov–galerkin collocation method
publisher	Elsevier
publishDate	2018
url	http://eprints.um.edu.my/22727/ https://doi.org/10.1016/j.apm.2017.08.032
_version_	1648736193309835264
score	13.211869

Numerical simulation of metal removal in laser drilling using meshless local Petrov–Galerkin collocation method

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