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Numerical solution of a complete surface energy balance model for simulation of heat fluxes and surface temperature under bare soil environment

机译:裸土环境下模拟热通量和表面温度的完整表面能平衡模型的数值解

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Surface energy balance model is an essential approach for heat flux and evaporation estimation in applied, meteorology and hydrology. Due to the complexity of soil-air interface system, the model has been simplified for different purposes in many researches. A complete model with full description of its. complex factor relationships and its numerical solution has not been yet implemented in practical use. This paper presents a complete. surface energy balance model with its inner relations cited from different researches. The model couples soil temperature change simultaneously with soil moisture movement, which makes the solution of the model uneasy. A detailed methodology of numerical approximation to the complete model is presented in the study for practical use. Soil heat and latent heat fluxes in the model are determined according to both soil temperature change and soil moisture movement, which are described as two differential equations. Crank-Nicolson implicit method is used to expand the differential equations into.,two sets of simultaneous linear equations, which are then solved by applying Gauss's elimination method. Latent heat flux is determined at the balance when evaporation from the surface is equal to the soil water loss. And surface temperature is estimated as the heat fluxes of the surface reaching the status of balance. The iterative computation of Newton-Raphson method is used to approximate latent heat flux and surface temperature from the balances. Based on this complexity of the model's relationships, a detailed computation procedure of the model is proposed. The methodology has been validated through application to South Israeli desert for heat flux and surface temperature estimation. A good matching of the simulated soil temperature to the measured one proves the validity of the model and method used for its numerical solution. (C) 2002 Elsevier Science Inc. All rights reserved. [References: 37]
机译:在应用,气象和水文学中,表面能平衡模型是估算热通量和蒸发量的基本方法。由于土壤-空气界面系统的复杂性,在许多研究中已针对不同目的简化了该模型。具有完整描述的完整模型。复杂因子关系及其数值解尚未实际应用。本文介绍了一个完整的。表面能平衡模型及其内在联系来自不同的研究。该模型将土壤温度变化与土壤水分运动同时进行耦合,这使得模型的求解不容易。完整模型的数值逼近的详细方法将在研究中提供给实际使用。模型中的土壤热和潜热通量是根据土壤温度变化和土壤水分运动确定的,描述为两个微分方程。使用Crank-Nicolson隐式方法将微分方程扩展为两组联立线性方程,然后应用高斯消元法求解。当从地表蒸发的水分等于土壤水分的损失时,潜热通量就确定为平衡状态。并且,当表面的热通量达到平衡状态时,估计表面温度。牛顿-拉夫森法的迭代计算可用来从天平中近似得出潜热通量和表面温度。基于模型关系的复杂性,提出了模型的详细计算过程。该方法已通过应用于以色列南部沙漠的热通量和地表温度估算得到验证。模拟土壤温度与被测土壤的良好匹配证明了该模型及其数值解方法的有效性。 (C)2002 Elsevier Science Inc.保留所有权利。 [参考:37]

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