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Simulation of nitrogen contaminant transportation by a compact difference scheme in the downstream Yellow River,China
Authors:Xuan Wang  Zhanli Meng  Bin Chen  Zhifeng Yang  Chao Li
Institution:1. University Hospital Tübingen, Department of Prosthetic Dentistry, Section Medical Materials and Technology, Osianderstr. 2-8, D-72076 Tübingen, Germany;2. Fraunhofer Institute for Electron Beam and Plasma Technology FEP, Winterbergstr. 28, D-01277 Dresden, Germany;1. College of Water Resources and Civil Engineering, China Agricultural University, Beijing 100083, China;2. School of Soil and Water Conservation, Beijing Forestry University, Beijing 100083, China;3. Key Laboratory of Pollution Ecology and Environmental Engineering, Institute of Applied Ecology, Chinese Academy of Sciences, Shenyang 10016, China;4. Department of Biosystems Engineering and Soil Science, The University of Tennessee, Knoxville, TN 37996, USA;5. Agricultural Clear Watershed Group, Institute of Environment and Sustainable Development in Agriculture, Chinese Academy of Agricultural Sciences, Beijing 100081, China
Abstract:The rapid agricultural development of the Yellow River basin in China has caused serious potential water pollution to the vicinal areas. In this paper, a compact scheme is developed and employed to simulate the unsteady transportation of three representative water quality variables including ammonia nitrogen, nitrite nitrogen and nitrate nitrogen in the downstream Yellow River. As an extension of Ref. Yang ZF, Chen GQ. The compact fourth-order finite difference scheme for the unsteady convection–diffusion equation involving source term. Chin Sci Bull 1993;38(2):113–6 in Chinese]], the scheme is applied to the more general convection–diffusion equation with complicated terms reflecting the mutual action of water and sediment, which conforms to the characteristic of high sediment concentration of the Yellow River. The simulation results indicate that the error yielded from the proposed method is smaller than that of the referenced scheme (five-point hybrid scheme) in solving the water quality equation.
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