Imperial College London
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ProfessorSpencerSherwin

Faculty of Engineering, Department of Aeronautics

Head of the Department of Aeronautics
 
 
 
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Contact

 

+44 (0)20 7594 5052s.sherwin Website

 
 
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Location

 

318City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Hossain:2021:10.1002/fld.4978,
author = {Hossain, MZ and Cantwell, CD and Sherwin, SJ},
doi = {10.1002/fld.4978},
journal = {International Journal for Numerical Methods in Fluids},
pages = {2380--2395},
title = {A spectral/hp element method for thermal convection},
url = {http://dx.doi.org/10.1002/fld.4978},
volume = {93},
year = {2021}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We report on a highfidelity, spectral/hp element algorithm developed for the direct numerical simulation of thermal convection problems. We consider the incompressible Navier–Stokes (NS) and advection–diffusion equations coupled through a thermal bodyforcing term. The flow is driven by a prescribed flowrate forcing with explicit treatment of the nonlinear advection terms. The explicit treatment of the bodyforce term also decouples both the NS and the advection–diffusion equations. The problem is then temporally discretized using an implicit–explicit scheme in conjunction with a velocitycorrection splitting scheme to decouple the velocity and pressure fields in the momentum equation. Although not unique, this type of discretization has not been widely applied to thermal convection problems and we therefore provide a comprehensive overview of the algorithm and implementation which is available through the opensource package Nektar++. After verifying the algorithm on a number of illustrative problems we then apply the code to investigate flow in a channel with uniform or streamwise sinusoidal lower wall, in addition to a patterned sinusoidal heating. We verify the solver against previously published twodimensional results. Finally, for the first time we consider a threedimensional problem with a streamwise sinusoidal lower wall and sinusoidal heating which, for the chosen parameter, leads to the unusual dynamics of an initially unsteady twodimensional instability leading to a steady threedimensional nonlinear saturated state.
AU  - Hossain,MZ
AU  - Cantwell,CD
AU  - Sherwin,SJ
DO  - 10.1002/fld.4978
EP  - 2395
PY  - 2021///
SN  - 0271-2091
SP  - 2380
TI  - A spectral/hp element method for thermal convection
T2  - International Journal for Numerical Methods in Fluids
UR  - http://dx.doi.org/10.1002/fld.4978
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000633529600001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://onlinelibrary.wiley.com/doi/10.1002/fld.4978
UR  - http://hdl.handle.net/10044/1/88083
VL  - 93
ER  -
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