Numerical methods and fuzzy parameters: an environmental impact assessment in aquatic systems

作者：Catapani Poletti Elaine Cristina; da Costa Azevedo Meyer Joao Frederico

来源：COMPUTATIONAL & APPLIED MATHEMATICS, 2017, 36(4): 1517-1528.

DOI：10.1007/s40314-015-0299-z

• Environmental impact
• Aquatic systems
• Advection-diffusion equation
• Numerical methods
• Fuzzy parameters

This paper proposes to analyze the dispersion of pollutants in aquatic systems, solving the advection-diffusion equation using numerical methods and fuzzy sets. For solution, numerical approximations were adopted, based on the finite element method for the spatial discretization and Crank-Nicolson for the time variable. The parameters of the equation were modeled taking into account aspects of multiple varieties of natural phenomena, based on fuzzy sets. The two-dimensional model resulted in the value of pollutant dispersion taking into account the flow velocity, in situations of prevailing winds in the region of a reservoir of Sao Paulo. According to the results, it was observed that the integration of the numerical methods and the fuzzy parameters is a potential instrument for environmental process analysis. The rule-based systems allowed a better design of the local natural phenomena. The spread of the plumes of pollutants was well defined by the model and the simulated scenarios are in agreement, from a qualitative point of view, with the local reality.

• 出版日期2017-12