巴西巴拉那州隆德里纳市Igapó I湖碳氮循环输运建模
A modeling of the carbon-nitrogen cycle transport at Igapó I Lake - Londrina, Paraná, Brazil
AI总结：
采用有限差分和有限元方法，基于Navier-Stokes方程和碳氮循环反应模型，模拟Igapó I湖中生活污水排放引起的污染物输运过程，并定性分析扩散系数对硝化、生化需氧量和溶解氧动态的影响。
摘要：
本研究旨在更好地理解生活污水排放对水体的影响，特别是巴西巴拉那州隆德里纳市的Igapó I湖。通过对Igapó I湖几何结构进行结构化离散，结合有限差分法和有限元法，模拟整个水体中污染物浓度的动态。首先，采用有限差分法结合四阶龙格-库塔过程数值求解由Navier-Stokes方程和压力方程建模的水动力流（不含污染物）。然后，利用水动力场速度，通过考虑平流和扩散过程的输运模型，以及限制在碳氮循环内的反应模型，描述反应性物种（污染物）的流动。输运和反应模型通过稳定化有限元法采用半离散公式进行数值求解。根据扩散系数进行的数值模拟的定性分析，提供了对Igapó I湖中反应性物种流动所涉及过程动态的更好理解，例如硝化过程动态、生化需氧量和水中溶解氧水平。
英文摘要：
This work is a contribution to better understand the effect that domestic sewage discharges may cause in a water body, specifically Igapó I Lake, in Londrina, Paraná, Brazil. The simulation of the dynamics of pollutant concentrations all over the water body is conducted by means of structured discretization of the geometry of Igapó I Lake, together with the finite differences and the finite elements methods. Firstly, the hydrodynamic flow (without the pollutants), modeled by Navier-Stokes and pressure equations, is numerically resolved by the finite differences method, and associated with the fourth order Runge-Kutta procedure. After that, by using the hydrodynamic field velocity, the flow of the reactive species (pollutants) is described through a transport model, which considers advective and diffusive processes, as well as through a reactions model, restricted to the carbon-nitrogen cycle. The transport and reactions model is numerically resolved by the stabilized finite elements method, by means of a semidiscrete formulation. A qualitative analysis of the numerical simulations conducted in function of the diffusion coefficient provided better understanding of the dynamics of the processes involved in the flow of the reactive species, such as the dynamics of the nitrification process, of the biochemical requirement of oxygen and of the level of oxygen dissolved in the water body at Igapó I Lake.
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