Revisiting the Bulk Relation for Heat Flux in the Free Convection Limit

Yuji Kitamura; Junshi Ito

doi:10.1007/s10546-015-0075-z

Revisiting the Bulk Relation for Heat Flux in the Free Convection Limit

Yuji Kitamura, Junshi Ito

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We modify the velocity applied to the bulk relation for surface heat flux using turbulent kinetic energy, such that the effect of horizontal flow induced by unresolved free convection is incorporated. Numerical experiments with a large-eddy simulation (LES) and a single-column model (SCM) are examined for an ideal convective boundary layer. The surface fluxes obtained from both models are compared to investigate the effect of the velocity correction. It is confirmed that the surface heat flux calculated with the velocity correction is relatively consistent between the LES and SCM, even for a free convection case. Furthermore, the proposed method provides an evaluation of the surface heat flux that is insensitive to the model resolution, unlike the conventional method.

Original language	English
Pages (from-to)	93-103
Number of pages	11
Journal	Boundary-Layer Meteorology
Volume	158
Issue number	1
DOIs	https://doi.org/10.1007/s10546-015-0075-z
Publication status	Published - 2016 Jan 1
Externally published	Yes

Keywords

Bulk relation
Free convection
Surface heat flux

ASJC Scopus subject areas

Atmospheric Science

Access to Document

10.1007/s10546-015-0075-z

Cite this

@article{91906a2fd6274995954696f26ef40db4,

title = "Revisiting the Bulk Relation for Heat Flux in the Free Convection Limit",

abstract = "We modify the velocity applied to the bulk relation for surface heat flux using turbulent kinetic energy, such that the effect of horizontal flow induced by unresolved free convection is incorporated. Numerical experiments with a large-eddy simulation (LES) and a single-column model (SCM) are examined for an ideal convective boundary layer. The surface fluxes obtained from both models are compared to investigate the effect of the velocity correction. It is confirmed that the surface heat flux calculated with the velocity correction is relatively consistent between the LES and SCM, even for a free convection case. Furthermore, the proposed method provides an evaluation of the surface heat flux that is insensitive to the model resolution, unlike the conventional method.",

keywords = "Bulk relation, Free convection, Surface heat flux",

author = "Yuji Kitamura and Junshi Ito",

note = "Funding Information: We would like to thank three anonymous reviewers for their valuable comments. The present work was partly supported by Grant-in-Aids for Scientific Research No. 26800246, the Ministry of Education, Culture, Sports, Science and Technology. We used GNU Scientific Library and its Fortran interface in the calculation of the Laguerre function and ISPACK (http://www.gfd-dennou.org/arch/ispack/) for the Fast Fourier Transform. All the figures are drawn with the GFD-DENNOU Library (SGKS Group 1995). Publisher Copyright: {\textcopyright} 2015, Springer Science+Business Media Dordrecht.",

year = "2016",

month = jan,

day = "1",

doi = "10.1007/s10546-015-0075-z",

language = "English",

volume = "158",

pages = "93--103",

journal = "Boundary-Layer Meteorology",

issn = "0006-8314",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Revisiting the Bulk Relation for Heat Flux in the Free Convection Limit

AU - Kitamura, Yuji

AU - Ito, Junshi

N1 - Funding Information: We would like to thank three anonymous reviewers for their valuable comments. The present work was partly supported by Grant-in-Aids for Scientific Research No. 26800246, the Ministry of Education, Culture, Sports, Science and Technology. We used GNU Scientific Library and its Fortran interface in the calculation of the Laguerre function and ISPACK (http://www.gfd-dennou.org/arch/ispack/) for the Fast Fourier Transform. All the figures are drawn with the GFD-DENNOU Library (SGKS Group 1995). Publisher Copyright: © 2015, Springer Science+Business Media Dordrecht.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - We modify the velocity applied to the bulk relation for surface heat flux using turbulent kinetic energy, such that the effect of horizontal flow induced by unresolved free convection is incorporated. Numerical experiments with a large-eddy simulation (LES) and a single-column model (SCM) are examined for an ideal convective boundary layer. The surface fluxes obtained from both models are compared to investigate the effect of the velocity correction. It is confirmed that the surface heat flux calculated with the velocity correction is relatively consistent between the LES and SCM, even for a free convection case. Furthermore, the proposed method provides an evaluation of the surface heat flux that is insensitive to the model resolution, unlike the conventional method.

AB - We modify the velocity applied to the bulk relation for surface heat flux using turbulent kinetic energy, such that the effect of horizontal flow induced by unresolved free convection is incorporated. Numerical experiments with a large-eddy simulation (LES) and a single-column model (SCM) are examined for an ideal convective boundary layer. The surface fluxes obtained from both models are compared to investigate the effect of the velocity correction. It is confirmed that the surface heat flux calculated with the velocity correction is relatively consistent between the LES and SCM, even for a free convection case. Furthermore, the proposed method provides an evaluation of the surface heat flux that is insensitive to the model resolution, unlike the conventional method.

KW - Bulk relation

KW - Free convection

KW - Surface heat flux

UR - http://www.scopus.com/inward/record.url?scp=84953360721&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84953360721&partnerID=8YFLogxK

U2 - 10.1007/s10546-015-0075-z

DO - 10.1007/s10546-015-0075-z

M3 - Article

AN - SCOPUS:84953360721

VL - 158

SP - 93

EP - 103

JO - Boundary-Layer Meteorology

JF - Boundary-Layer Meteorology

SN - 0006-8314

IS - 1

ER -

Revisiting the Bulk Relation for Heat Flux in the Free Convection Limit

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this