University of Surrey

Test tubes in the lab Research in the ATI Dance Research

Numerical simulation of natural convection in a differentially heated tall enclosure using a spectral element method

Pitz, DB and Chew, JW (2015) Numerical simulation of natural convection in a differentially heated tall enclosure using a spectral element method In: 23rd ABCM International Congress of Mechanical Engineering - COBEM2015, 2015-12-06 - 2015-12-11, Rio de Janeiro. (Unpublished)

[img]
Preview
Text
cobem2015.pdf - ["content_typename_Accepted version (post-print)" not defined]
Available under License : See the attached licence file.

Download (458kB) | Preview
[img]
Preview
PDF (licence)
SRI_deposit_agreement.pdf
Available under License : See the attached licence file.

Download (33kB) | Preview

Abstract

Natural convection in differentially heated enclosures is a benchmark problem used to investigate the physics of buoyant flows and to validate numerical methods. Such configurations are also of interest in engineering applications such as cooling of electronic components and air flow around buildings. In this work a spectral element method is used to carry out direct numerical simulations of natural convection in a tall enclosure of aspect ratio 4 with isothermal vertical walls and adiabatic horizontal walls. Spectral element methods combine the flexibility of classical finite element methods with the high accuracy and efficiency of single-domain spectral methods. The flow is solved in a three-dimensional domain with periodic boundary conditions imposed in the third direction. The numerical results are compared with solutions available in the literature and with numerical results obtained using a commercial software that employs a low-order finite volume method. Good agreement with previous work is obtained for the value of the Rayleigh number investigated, Ra = 2E9, which is greater than the critical value of Ra where transition to an unsteady, chaotic state is known to occur. The results are presented in terms of the time-averaged flow structure, Reynolds stresses and modal energies. Although the time-averaged velocity and temperature fields obtained with a commercial finite volume code are in general good agreement with the results obtained with the spectral element code, it does not give accurate predictions of second-order statistics.

Item Type: Conference or Workshop Item (Conference Paper)
Divisions : Faculty of Engineering and Physical Sciences > Mechanical Engineering Sciences
Authors :
AuthorsEmailORCID
Pitz, DBUNSPECIFIEDUNSPECIFIED
Chew, JWUNSPECIFIEDUNSPECIFIED
Date : 6 December 2015
Additional Information : Posted with kind permission of the Organizing Committee.
Depositing User : Symplectic Elements
Date Deposited : 22 Sep 2015 13:24
Last Modified : 22 Sep 2015 13:24
URI: http://epubs.surrey.ac.uk/id/eprint/808405

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year


Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800