Transition of thermally induced flow in a square cavity using Spectral Method
This study presents a novel mesh-free method for simulating natural convection in a square cavity filled with Newtonian fluid. The proposed algorithm integrates mesh-free Spectral methods with the Moving Collocation Element (MCOE) technique and employs a strong formulation to solve the nonlinear gov...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2025-01-01
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| Series: | E3S Web of Conferences |
| Subjects: | |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2025/01/e3sconf_icegc2024_00049.pdf |
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| _version_ | 1832098634709073920 |
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| author | Laasl Boutayna Hilali Youssef Mesmoudi Said Askour Omar Bourihane Oussama |
| author_facet | Laasl Boutayna Hilali Youssef Mesmoudi Said Askour Omar Bourihane Oussama |
| author_sort | Laasl Boutayna |
| collection | DOAJ |
| description | This study presents a novel mesh-free method for simulating natural convection in a square cavity filled with Newtonian fluid. The proposed algorithm integrates mesh-free Spectral methods with the Moving Collocation Element (MCOE) technique and employs a strong formulation to solve the nonlinear governing equations. Parametric analysis shows that increasing Rayleigh numbers significantly enhance the average Nusselt number, indicating a shift to convection-dominated heat transfer. Validation against benchmark solutions confirms the method’s accuracy and efficiency. |
| format | Article |
| id | doaj-art-b828125128ce4ea4bf42dab556be54db |
| institution | Kabale University |
| issn | 2267-1242 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj-art-b828125128ce4ea4bf42dab556be54db2025-02-05T10:46:25ZengEDP SciencesE3S Web of Conferences2267-12422025-01-016010004910.1051/e3sconf/202560100049e3sconf_icegc2024_00049Transition of thermally induced flow in a square cavity using Spectral MethodLaasl Boutayna0Hilali Youssef1Mesmoudi Said2Askour Omar3Bourihane Oussama4Laboratory of Mechanical Engineering, Faculty of Science and Technology Fez, University Sidi Mohamed Ben AbdellahLaboratory of Mechanical Engineering, Faculty of Science and Technology Fez, University Sidi Mohamed Ben AbdellahHassan First University of Settat, Ecole Nationale des Sciences Appliquées, LISA LaboratoryMathematics, Computer Science and Communication Systems Laboratory, National School of Applied Sciences of safi, cadi Ayyad UniversityLaboratory of Mechanical Engineering, Faculty of Science and Technology Fez, University Sidi Mohamed Ben AbdellahThis study presents a novel mesh-free method for simulating natural convection in a square cavity filled with Newtonian fluid. The proposed algorithm integrates mesh-free Spectral methods with the Moving Collocation Element (MCOE) technique and employs a strong formulation to solve the nonlinear governing equations. Parametric analysis shows that increasing Rayleigh numbers significantly enhance the average Nusselt number, indicating a shift to convection-dominated heat transfer. Validation against benchmark solutions confirms the method’s accuracy and efficiency.https://www.e3s-conferences.org/articles/e3sconf/pdf/2025/01/e3sconf_icegc2024_00049.pdfnatural convectionrayleigh numbernusselt numberspectralmcoe |
| spellingShingle | Laasl Boutayna Hilali Youssef Mesmoudi Said Askour Omar Bourihane Oussama Transition of thermally induced flow in a square cavity using Spectral Method E3S Web of Conferences natural convection rayleigh number nusselt number spectral mcoe |
| title | Transition of thermally induced flow in a square cavity using Spectral Method |
| title_full | Transition of thermally induced flow in a square cavity using Spectral Method |
| title_fullStr | Transition of thermally induced flow in a square cavity using Spectral Method |
| title_full_unstemmed | Transition of thermally induced flow in a square cavity using Spectral Method |
| title_short | Transition of thermally induced flow in a square cavity using Spectral Method |
| title_sort | transition of thermally induced flow in a square cavity using spectral method |
| topic | natural convection rayleigh number nusselt number spectral mcoe |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2025/01/e3sconf_icegc2024_00049.pdf |
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