Journal cover Journal topic
Geoscientific Model Development An interactive open-access journal of the European Geosciences Union
doi:10.5194/gmd-2016-300
© Author(s) 2017. This work is distributed
under the Creative Commons Attribution 3.0 License.
Model description paper
10 Jan 2017
Review status
This discussion paper is under review for the journal Geoscientific Model Development (GMD).
The Analytical Objective Hysteresis Model (AnOHM v1.0): Methodology to Determine Bulk Storage Heat Flux Coefficients
Ting Sun1,2,3, Zhi-Hua Wang4, Walter Oechel5,6, and Sue Grimmond1 1Department of Meteorology, University of Reading, Reading RG6 6BB, UK
2Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China
3State Key Laboratory of Hydro-Science and Engineering, Tsinghua University, Beijing 100084, China
4School of Sustainable Engineering and the Built Environment, Arizona State University, Tempe, AZ 85287, US
5Global Change Research Group, Department of Biology, San Diego State University, San Diego, CA 92182, US
6Department of Environment, Earth and Ecosystems, The Open University, Milton Keynes MK7 6AA, UK
Abstract. The net storage heat flux is not only a large part of the urban surface energy balance (SEB) but its determination remains a significant challenge. The diurnal hysteresis behaviour found between the net storage heat flux (ΔQS) and net all-wave radiation (Q*) has been captured in the Objective Hysteresis Model (OHM) parametrization of ΔQS. Although, successfully used in urban areas, the limited availability of coefficients for OHM hampers application. To facilitate use, and enhance physical interpretations of the OHM coefficients, an analytical solution of the 1-dimensional advection-diffusion equation of coupled heat and liquid water transport in conjunction with the SEB is conducted, allowing development of AnOHM (Analytical Objective Hysteresis Model). A sensitivity test of AnOHM to surface properties and hydrometeorological forcing is undertaken using a stochastic approach (the Subset Simulation). From this albedo, Bowen ratio and bulk transfer coefficient, solar radiation and wind speed are identified as being critical. AnOHM, driven by local meteorological conditions at five different land use areas, is shown to simulate the ΔQS flux well (RMSE values of ~30 W m−2). The intra-annual dynamics of OHM coefficients to are explored which offers significant potential to enhance modelling of the surface energy balance over a wider range of conditions.

Citation: Sun, T., Wang, Z.-H., Oechel, W., and Grimmond, S.: The Analytical Objective Hysteresis Model (AnOHM v1.0): Methodology to Determine Bulk Storage Heat Flux Coefficients, Geosci. Model Dev. Discuss., doi:10.5194/gmd-2016-300, in review, 2017.
Ting Sun et al.
Ting Sun et al.
Ting Sun et al.

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Short summary
The diurnal hysteresis behaviour found between the net storage heat flux and net all-wave radiation has been captured in the Objective Hysteresis Model (OHM). To facilitate use, and enhance physical interpretations of the OHM coefficients, we develop the Analytical Objective Hysteresis Model (AnOHM) using an analytical solution of the 1-dimensional advection-diffusion equation of coupled heat and liquid water transport in conjunction with the surface energy balance relationship.
The diurnal hysteresis behaviour found between the net storage heat flux and net all-wave...
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