| Issue |
E3S Web Conf.
Volume 601, 2025
The 3rd International Conference on Energy and Green Computing (ICEGC’2024)
|
|
|---|---|---|
| Article Number | 00049 | |
| Number of page(s) | 6 | |
| DOI | https://doi.org/10.1051/e3sconf/202560100049 | |
| Published online | 16 January 2025 | |
Transition of thermally induced flow in a square cavity using Spectral Method
1. Laboratory of Mechanical Engineering, Faculty of Science and Technology Fez, University Sidi Mohamed Ben Abdellah, Fez, Morocco
2. Hassan First University of Settat, Faculty of Sciences and Techniques, 26000, Settat, Morocco
3. Hassan First University of Settat, Ecole Nationale des Sciences Appliquées, LISA Laboratory, Berrechid 26100, Morocco
4. Mathematics, Computer Science and Communication Systems Laboratory, National School of Applied Sciences of safi, cadi Ayyad University, Sidi Bouzid BP 63, safi - 46000, Morocco
Email: boutayna.laasl@usmba.ac.ma
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.
Key words: Natural convection / Rayleigh number / Nusselt number / Spectral / MCOE
© The Authors, published by EDP Sciences, 2025
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.