Monte Carlo simulations of radiative heat exchange in a street canyon with trees

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

Land surface energy balance in a built environment is widely modelled using urban canopy models with representation of building arrays as big street canyons. Modification of this simplified geometric representation, however, leads to challenging numerical difficulties in improving physical parameterization schemes that are deterministic in nature. In this paper, we develop a stochastic algorithm to estimate view factors between canyon facets in the presence of shade trees based on Monte Carlo simulation, where an analytical formulation is inhibited by the complex geometry. The model is validated against analytical solutions of benchmark radiative problems as well as field measurements in real street canyons. In conjunction with the matrix method resolving infinite number of reflections, the proposed model is capable of predicting the radiative exchange inside the street canyon with good accuracy. Modeling of transient evolution of thermal filed inside the street canyon using the proposed method demonstrate the potential of shade trees in mitigating canyon surface temperatures as well as saving of building energy use. This new numerical framework also deepens our insight into the fundamental physics of radiative heat transfer and surface energy balance for urban climate modeling.

Original languageEnglish (US)
Pages (from-to)704-713
Number of pages10
JournalSolar Energy
Volume110
DOIs
StatePublished - Dec 1 2014

Fingerprint

Energy balance
Interfacial energy
Parameterization
Physics
Heat transfer
Geometry
Hot Temperature
Monte Carlo simulation
Temperature

Keywords

  • Building energy consumption
  • Monte Carlo method
  • Radiative heat transfer
  • View factors

ASJC Scopus subject areas

  • Renewable Energy, Sustainability and the Environment
  • Materials Science(all)

Cite this

Monte Carlo simulations of radiative heat exchange in a street canyon with trees. / Wang, Zhihua.

In: Solar Energy, Vol. 110, 01.12.2014, p. 704-713.

Research output: Contribution to journalArticle

@article{ba40de21cdd542caae0af7ada6ef5316,
title = "Monte Carlo simulations of radiative heat exchange in a street canyon with trees",
abstract = "Land surface energy balance in a built environment is widely modelled using urban canopy models with representation of building arrays as big street canyons. Modification of this simplified geometric representation, however, leads to challenging numerical difficulties in improving physical parameterization schemes that are deterministic in nature. In this paper, we develop a stochastic algorithm to estimate view factors between canyon facets in the presence of shade trees based on Monte Carlo simulation, where an analytical formulation is inhibited by the complex geometry. The model is validated against analytical solutions of benchmark radiative problems as well as field measurements in real street canyons. In conjunction with the matrix method resolving infinite number of reflections, the proposed model is capable of predicting the radiative exchange inside the street canyon with good accuracy. Modeling of transient evolution of thermal filed inside the street canyon using the proposed method demonstrate the potential of shade trees in mitigating canyon surface temperatures as well as saving of building energy use. This new numerical framework also deepens our insight into the fundamental physics of radiative heat transfer and surface energy balance for urban climate modeling.",
keywords = "Building energy consumption, Monte Carlo method, Radiative heat transfer, View factors",
author = "Zhihua Wang",
year = "2014",
month = "12",
day = "1",
doi = "10.1016/j.solener.2014.10.012",
language = "English (US)",
volume = "110",
pages = "704--713",
journal = "Solar Energy",
issn = "0038-092X",
publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Monte Carlo simulations of radiative heat exchange in a street canyon with trees

AU - Wang, Zhihua

PY - 2014/12/1

Y1 - 2014/12/1

N2 - Land surface energy balance in a built environment is widely modelled using urban canopy models with representation of building arrays as big street canyons. Modification of this simplified geometric representation, however, leads to challenging numerical difficulties in improving physical parameterization schemes that are deterministic in nature. In this paper, we develop a stochastic algorithm to estimate view factors between canyon facets in the presence of shade trees based on Monte Carlo simulation, where an analytical formulation is inhibited by the complex geometry. The model is validated against analytical solutions of benchmark radiative problems as well as field measurements in real street canyons. In conjunction with the matrix method resolving infinite number of reflections, the proposed model is capable of predicting the radiative exchange inside the street canyon with good accuracy. Modeling of transient evolution of thermal filed inside the street canyon using the proposed method demonstrate the potential of shade trees in mitigating canyon surface temperatures as well as saving of building energy use. This new numerical framework also deepens our insight into the fundamental physics of radiative heat transfer and surface energy balance for urban climate modeling.

AB - Land surface energy balance in a built environment is widely modelled using urban canopy models with representation of building arrays as big street canyons. Modification of this simplified geometric representation, however, leads to challenging numerical difficulties in improving physical parameterization schemes that are deterministic in nature. In this paper, we develop a stochastic algorithm to estimate view factors between canyon facets in the presence of shade trees based on Monte Carlo simulation, where an analytical formulation is inhibited by the complex geometry. The model is validated against analytical solutions of benchmark radiative problems as well as field measurements in real street canyons. In conjunction with the matrix method resolving infinite number of reflections, the proposed model is capable of predicting the radiative exchange inside the street canyon with good accuracy. Modeling of transient evolution of thermal filed inside the street canyon using the proposed method demonstrate the potential of shade trees in mitigating canyon surface temperatures as well as saving of building energy use. This new numerical framework also deepens our insight into the fundamental physics of radiative heat transfer and surface energy balance for urban climate modeling.

KW - Building energy consumption

KW - Monte Carlo method

KW - Radiative heat transfer

KW - View factors

UR - http://www.scopus.com/inward/record.url?scp=84910620048&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84910620048&partnerID=8YFLogxK

U2 - 10.1016/j.solener.2014.10.012

DO - 10.1016/j.solener.2014.10.012

M3 - Article

AN - SCOPUS:84910620048

VL - 110

SP - 704

EP - 713

JO - Solar Energy

JF - Solar Energy

SN - 0038-092X

ER -