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https://doi.org/10.5194/egusphere-2025-2093
https://doi.org/10.5194/egusphere-2025-2093
02 Jun 2025
 | 02 Jun 2025
Status: this preprint is open for discussion and under review for Geoscientific Model Development (GMD).

A simple step heating approach for wall surface temperature estimation in the SOlar and LongWave Environmental Irradiance Geometry (SOLWEIG) model

Nils Wallenberg, Björn Holmer, Fredrik Lindberg, Jessika Lönn, Erik Maesel, and David Rayner

Abstract. The urban climate is highly influenced by its building geometry, material characteristics, street orientation and high fraction of impermeable surfaces. All of these influence the microclimate and the resulting outdoor thermal comfort. Mean radiant temperature (Tmrt) is often used as an estimator for heat exposure as it is one of the most important variables governing outdoor human thermal comfort on clear, calm and warm days. The highest values of Tmrt are commonly found in front of sunlit facades where a human is exposed to high levels of direct and reflected shortwave radiation from the sun, as well as high levels of longwave radiation emitted from surrounding sunlit walls. As a consequence, outdoor thermal comfort modelling requires accurate simulation of wall surface temperatures (Ts).

The aim of this study is to present a step heating approach for calculating wall Ts in the SOlar and LongWave Environmental Irradiance Geometry model (SOLWEIG) and quantifying how it influences Tmrt. This method requires information on material characteristics, i.e. specific heat capacity, density, thermal conductivity, albedo and thickness of the outer layer of the wall, as well as radiation balance at the wall surface, and ambient air temperature. Simulated Ts is compared to observed Ts of two white walls (albedo = 0.5) in Gothenburg, Sweden; one wooden wall and one plaster brick wall. The simulations show high agreement with the 15,394 observations, with R2 = 0.93 and RMSE = 2.09 °C for the wooden wall and R2 = 0.94 and RMSE = 1.94 °C for the plaster brick wall. For the walls presented here, this new parameterization scheme results in differences in Tmrt of up to 2.5 °C compared to the previous version of SOLWEIG.

With this new approach SOLWEIG can be used to evaluate the effect of building materials on outdoor thermal comfort. The speed and accuracy of this approach suggests that it also could be applied in other areas where Ts of walls are important, for example building energy models and urban energy balance models.

Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this preprint. The responsibility to include appropriate place names lies with the authors.
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Nils Wallenberg, Björn Holmer, Fredrik Lindberg, Jessika Lönn, Erik Maesel, and David Rayner

Status: open (until 28 Jul 2025)

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Nils Wallenberg, Björn Holmer, Fredrik Lindberg, Jessika Lönn, Erik Maesel, and David Rayner

Data sets

SOLWEIG v2025 test dataset N. Wallenberg et al. https://doi.org/10.5281/zenodo.15309444

Model code and software

SOLWEIG v2025 as part of UMEP-processing N. Wallenberg et al. https://doi.org/10.5281/zenodo.15309383

Nils Wallenberg, Björn Holmer, Fredrik Lindberg, Jessika Lönn, Erik Maesel, and David Rayner

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Short summary
This work presents a method to calculate wall surface temperatures in complex urban areas using a step heating equation based on air temperature and net radiation at the wall surface. Our results show that the step heating approach is a fast and accurate, comparable to other more complex methods. This method can potentially be applied in different areas of interest where wall surface temperatures are important, e.g. modeling of thermal comfort, building energy and urban energy balance.
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