A Computational Simulation of Steady Natural Convection in an H-Form Cavity

Mohamed Loukili, Kamila Kotrasova, Denys Dutykh

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations


The simulation of natural convection problem based on the Galerkin finite-element method, with the penalty finite-element formulation of the momentum balance equation, is exploited for accurate solutions of equations describing the problem of H-Form cavity differentially heated side walls. The cavity is occupied by the air whose Prandtl number is Pr = 0.71, the fluid is assumed to be steady, viscous and incompressible within thermal convection. A numerical investigation has been made for Rayleigh numbers ranging from 10 to 106 for three cases of total internal height aspects of H-Form cavity: 0%, 50%, and 85%. Firstly, the goal is to validate the numerical code used to resolve the equations governing the problem of this work. For that, we present a comparison between the profiles at the point (0.5, 0) for the u-component, and u-component obtained in previous work for simple square cavity. Further, a comparison of the averaged Nusselt number with previous works for simple square cavity is realized in order to ensure the numerical accuracy, and the validity of our considered numerical tool. Secondly, the objective is to investigate on the hydrodynamic effects of Rayleigh number for different total internal height aspects of H-Form cavity on the dynamics of natural convection. Shortly after, the ambition is to assess the heat transfer rate for different Rayleigh number for three cases of internal height aspects.

Original languageBritish English
Title of host publicationSoftware Engineering Perspectives in Intelligent Systems - Proceedings of 4th Computational Methods in Systems and Software 2020
EditorsRadek Silhavy, Petr Silhavy, Zdenka Prokopova
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages14
ISBN (Print)9783030633189
StatePublished - 2020
Event4th Computational Methods in Systems and Software, CoMeSySo 2020 - Vsetin, Czech Republic
Duration: 14 Oct 202017 Oct 2020

Publication series

NameAdvances in Intelligent Systems and Computing
ISSN (Print)2194-5357
ISSN (Electronic)2194-5365


Conference4th Computational Methods in Systems and Software, CoMeSySo 2020
Country/TerritoryCzech Republic


  • H-Form cavity
  • Heat transfer
  • Natural convection
  • Nusselt number
  • Rayleigh number


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