Development and application of a new random walk model to simulate the transport of degradable pollutants
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Available online at https://link.springer.com/journal/42241 http://www.jhydrodynamics.com Journal of Hydrodynamics, 2020, 32(4): 784-789 https://doi.org/10.1007/s42241-020-0048-7
Development and application of a new random walk model to simulate the transport of degradable pollutants * Lin Zhang1, 2 , 3, 5, 6, Li-na Chen4, Jian-yin Zhou3, Jia-sheng Wang3, Qi-hong Yang3, Long-xi Han1, 2 1. Key Laboratory of Integrated Regulation and Resource Development on Shallow Lake of Ministry Education, Hohai University, Nanjing 210098, China 2. College of Environment, Hohai University, Nanjing 210098,China 3. Changjiang River Scientific Research Institute, Wuhan 430010, China 4. College of Agricultural Science and Engineering, Hohai University, Nanjing 210098, China 5. Key Laboratory of National Health and Family Planning Commission on Parasitic Disease Control and Prevention, Wuxi 214064, China 6. Jiangsu Provincial Key Laboratory on Parasite and Vector Control Technology, Jiangsu Institute of Parasitic Diseases, Wuxi 214064, China (Received April 8, 2017, Revised May 29, 2020, Accepted May 30, 2020, Published online August 26, 2020) ©China Ship Scientific Research Center 2020 Abstract: To simulate the pollutant transport with self-purification in inland waters, the widely used random walk model (RWM) is modified to include a source term for the degradation and to consider the impact of land boundaries. The source term for the degradation is derived from the assumption of the first-order reaction kinetics. Parameters for the new model are determined by a comparison to the analytical results. The proposed model is then applied to simulate and analyze the transport of a test pollutant and its spatial distribution in a large reservoir in northeast China. Reasonable results are obtained, and the effects of the runoff, the flow structure, and the wind on the pollutant transport are analyzed. The results may help the risk assessment and the management of the water pollution in inland waters. Key words: Degradable pollutants, inland water, Lagrangian method, random walk model
Introduction After discharge, pollutants can mix with the water in the environment via advection, diffusion, and dispersion. Numerical models based on Eulerian or Lagrangian methods are widely used to simulate the pollutant transport in free-surface flows[1-2]. With the Eulerian approach, the movement of a group of particles is considered by describing what happens in a fixed region in space. This approach is adopted by most of the researches of the pollutant transport, and the well-known advection–diffusion equations are normally used to describe the motion of substances in the water, which are based on a Eulerian framework[3].
* Project supported by the National Key Research and Development Program of China (Grant No. 2018YFC0407803), the National Natural Science Foundation of China (Grant No. 51679009). Biography: Lin Zhang (1988-), Female, Ph. D., Corresponding author: Lin Zhang, E-mail: [email protected]
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