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...
| Main Authors: | , , , , , |
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| Format: | Article |
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Elsevier
2018
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| _version_ | 1796961686119251968 |
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| 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 |
| collection | UM |
| 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. |
| first_indexed | 2024-03-06T05:57:49Z |
| format | Article |
| id | um.eprints-22727 |
| institution | Universiti Malaya |
| last_indexed | 2024-03-06T05:57:49Z |
| publishDate | 2018 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | 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, DOI https://doi.org/10.1016/j.apm.2017.08.032 <https://doi.org/10.1016/j.apm.2017.08.032>. https://doi.org/10.1016/j.apm.2017.08.032 doi:10.1016/j.apm.2017.08.032 |
| 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 |
| title | 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_short | 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 |
| topic | Q Science (General) QA Mathematics TJ Mechanical engineering and machinery |
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