Thermodynamic watershed hydrological model: Constitutive relationship

作     者：TIAN FuQiang HU HePing LEI ZhiDong 

作者机构：State Key Laboratory of Hydroscience and EngineeringDepartment of Hydraulic EngineeringTsinghua UniversityBeijing 100084China 

出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)

年 卷 期：2008年第51卷第9期

页      面：1353-1369页

核心收录：

学科分类：08[工学] 081501[工学-水文学及水资源] 0815[工学-水利工程] 

基　　金：the National Natural Science Foundation of China (Grant No. 50509013) 

主　　题：thermodynamics hydrological model constitutive relationship thermodynamic watershed hydrological model representative elementary watershed 

摘      要：The representative elementary watershed (REW) approach proposed by Reggiani et al. was the first attempt to develop scale adaptable equations applicable directly at the macro scale. Tian et al. extended the initial definition of REW for simulating the energy related processes, and re-organized the deriving procedure of balance equations so that additional sub-regions and substances could be easily incorpo-rated. The resultant ordinary differential equation set can simulate various hydro-logical processes in a physically reasonable way. However, constitutive and geo-metric relationships have not been developed for Tian et al. s equation set, which are necessary for the thermodynamic watershed hydrological model to apply in hydrological modeling practice. In this work, the constitutive equations for mass exchange terms and momentum exchange terms were developed as well as geo-metric relationships. The closed ordinary differential equation set with nine equa-tions was finally obtained.