M. El-Amrani
Extension of weakly compressible approximations to incompressible thermal flows.
El-Amrani, M.; Seaid, M.
Abstract
Weakly compressible and advection approximations of incompressible isothermal flows were developed and tested in (Commun. Numer. Methods Eng. 2006; 22:831-847). In this paper, we extend the method to solve equations governing incompressible thermal flows. The emphasis is again on the reconstruction of unconditionally stable numerical scheme such that, restriction on time steps, projection procedures, solution of linear system of algebraic equations and staggered grids are completely avoided in its implementation. These features are achieved by combining a low-Mach asymptotic in compressible flow equations with a semi-Lagrangian method for the weakly compressible approach. The time integration is carried out using an explicit Runge-Kutta with variable stages. The method is applied to the natural convection flows in a squared cavity for both steady and transient computations. The numerical results demonstrate high resolution of the proposed method and confirm its capability to provide accurate and efficient simulations for thermal flow problems.
Citation
El-Amrani, M., & Seaid, M. (2008). Extension of weakly compressible approximations to incompressible thermal flows. Communications in numerical methods in engineering, 24(1), 33 - 48. https://doi.org/10.1002/cnm.954
Journal Article Type | Article |
---|---|
Publication Date | 2008 |
Journal | Communications in Numerical Methods in Engineering |
Print ISSN | 1069-8299 |
Electronic ISSN | 1099-0887 |
Publisher | Wiley |
Volume | 24 |
Issue | 1 |
Pages | 33 - 48 |
DOI | https://doi.org/10.1002/cnm.954 |
Keywords | weakly compressible flows; low-Mach asymptotic; semi-Lagrangian method; incompressible Navier-Stokes equations; natural convection |
Public URL | https://durham-repository.worktribe.com/output/1528723 |
Publisher URL | http://www3.interscience.wiley.com/journal/113468439/abstract?CRETRY=1&SRETRY=0 |
You might also like
Climate-informed flood risk mapping using a GAN-based approach (ExGAN)
(2024)
Journal Article
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search