TITLE:
Numerical Simulation of Groundwater Pollution Problems Based on Convection Diffusion Equation
AUTHORS:
Lingyu Li, Zhe Yin
KEYWORDS:
Groundwater Pollution, Two-Dimensional Convection Diffusion Equation, Finite Difference Method, Visualization, Numerical Simulation
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.7 No.3,
September
6,
2017
ABSTRACT: The analytical solution of the convection diffusion
equation is considered by two-dimensional Fourier transform and the inverse
Fourier transform. To get the numerical solution, the Crank-Nicolson finite
difference method is constructed, which is second-order accurate in time and
space. Numerical simulation shows excellent agreement with the analytical
solution. The dynamic visualization of the simulating results is realized on
ArcGIS platform. This work provides a quick and intuitive decision-making basis
for water resources protection, especially in dealing with water pollution
emergencies.