Modeling and numerical simulation of dissolved oxygen and biochemical oxygen demand concentrations with Holling type III kinetic relationships

作者：

Highlights：

• The proposed model simulates the spatial and temporal distribution of the concentration of BOD and DO.

• A numerical solution of the PDEs system was obtained using finite difference methods, Crank–Nicolson and upwind scheme.

• The stability analysis of the model showed the existence of an asymptotically stable equilibrium point consistent with the simulations.

• The numerical simulations demonstrate the influence of velocity field in the spreading of BOD and DO concentrations.

摘要

•The proposed model simulates the spatial and temporal distribution of the concentration of BOD and DO.•A numerical solution of the PDEs system was obtained using finite difference methods, Crank–Nicolson and upwind scheme.•The stability analysis of the model showed the existence of an asymptotically stable equilibrium point consistent with the simulations.•The numerical simulations demonstrate the influence of velocity field in the spreading of BOD and DO concentrations.

论文关键词：Mathematical modeling,Diffusion-advection-reaction equation,Pollutant dispersion,Organic material,Two-dimensional model,Upwind scheme

论文评审过程：Received 5 April 2021, Revised 21 September 2021, Accepted 27 September 2021, Available online 24 October 2021, Version of Record 24 October 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126690