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Artificial compressibility based CBS solutions for double diffusive natural convection in cavities

A Mauro, F Arpino, N Massarotti, Perumal Nithiarasu Orcid Logo

INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, Volume: 23, Pages: 205 - 225

Swansea University Author: Perumal Nithiarasu Orcid Logo

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DOI (Published version): 10.1108/09615531311289196

Abstract

Purpose - The purpose of the paper is to numerically simulate steady-state thermo-solutal convection in rectangular cavities with different aspect ratios, subject to horizontal temperature and concentration gradients, and validate the results against numerical and experimental data available from li...

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Published in: INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
Published: 2013
URI: https://cronfa.swan.ac.uk/Record/cronfa20242
first_indexed 2015-03-03T02:59:52Z
last_indexed 2018-02-09T04:56:32Z
id cronfa20242
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spelling 2015-03-02T13:30:05.9153051 v2 20242 2015-03-02 Artificial compressibility based CBS solutions for double diffusive natural convection in cavities 3b28bf59358fc2b9bd9a46897dbfc92d 0000-0002-4901-2980 Perumal Nithiarasu Perumal Nithiarasu true false 2015-03-02 ACEM Purpose - The purpose of the paper is to numerically simulate steady-state thermo-solutal convection in rectangular cavities with different aspect ratios, subject to horizontal temperature and concentration gradients, and validate the results against numerical and experimental data available from literature.Design/methodology/approach - The fully explicit Artificial Compressibility (AC) version of the Characteristic Based Split (CBS) scheme is adopted to solve double diffusion (DD) problems. A stabilization analysis is carried out to efficiently solve the problems considered in the present work. The thermal and solutal buoyancy forces acting on the fluid have been taken into account in case of aiding and opposing flow conditions.Findings - The stability limits derived by the authors for the thermo-solutal convection assume a fundamental role to efficiently solve the DD problems considered. In the cases characterized by higher Rayleigh number the convergent solution is obtained only by employing the new stability conditions. The efficient matrix free procedure employed is a powerful tool to study complex DD problems.Originality/value - In this paper, the authors extend the stabilization analysis for the AC-CBS scheme to the solution of DD, fundamental to efficiently solve the present problems, and apply the present fully explicit matrix free scheme, based on finite elements, to the solution of DD natural convection in cavities. Journal Article INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW 23 205 225 31 12 2013 2013-12-31 10.1108/09615531311289196 COLLEGE NANME Aerospace, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM Swansea University 2015-03-02T13:30:05.9153051 2015-03-02T13:28:36.4961051 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering A Mauro 1 F Arpino 2 N Massarotti 3 Perumal Nithiarasu 0000-0002-4901-2980 4
title Artificial compressibility based CBS solutions for double diffusive natural convection in cavities
spellingShingle Artificial compressibility based CBS solutions for double diffusive natural convection in cavities
Perumal Nithiarasu
title_short Artificial compressibility based CBS solutions for double diffusive natural convection in cavities
title_full Artificial compressibility based CBS solutions for double diffusive natural convection in cavities
title_fullStr Artificial compressibility based CBS solutions for double diffusive natural convection in cavities
title_full_unstemmed Artificial compressibility based CBS solutions for double diffusive natural convection in cavities
title_sort Artificial compressibility based CBS solutions for double diffusive natural convection in cavities
author_id_str_mv 3b28bf59358fc2b9bd9a46897dbfc92d
author_id_fullname_str_mv 3b28bf59358fc2b9bd9a46897dbfc92d_***_Perumal Nithiarasu
author Perumal Nithiarasu
author2 A Mauro
F Arpino
N Massarotti
Perumal Nithiarasu
format Journal article
container_title INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
container_volume 23
container_start_page 205
publishDate 2013
institution Swansea University
doi_str_mv 10.1108/09615531311289196
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 0
active_str 0
description Purpose - The purpose of the paper is to numerically simulate steady-state thermo-solutal convection in rectangular cavities with different aspect ratios, subject to horizontal temperature and concentration gradients, and validate the results against numerical and experimental data available from literature.Design/methodology/approach - The fully explicit Artificial Compressibility (AC) version of the Characteristic Based Split (CBS) scheme is adopted to solve double diffusion (DD) problems. A stabilization analysis is carried out to efficiently solve the problems considered in the present work. The thermal and solutal buoyancy forces acting on the fluid have been taken into account in case of aiding and opposing flow conditions.Findings - The stability limits derived by the authors for the thermo-solutal convection assume a fundamental role to efficiently solve the DD problems considered. In the cases characterized by higher Rayleigh number the convergent solution is obtained only by employing the new stability conditions. The efficient matrix free procedure employed is a powerful tool to study complex DD problems.Originality/value - In this paper, the authors extend the stabilization analysis for the AC-CBS scheme to the solution of DD, fundamental to efficiently solve the present problems, and apply the present fully explicit matrix free scheme, based on finite elements, to the solution of DD natural convection in cavities.
published_date 2013-12-31T03:42:19Z
_version_ 1822100176055042048
score 11.048302

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