Author(s)

Lingyu Li, Zhe Yin^*

College of Mathematics and Statistics, Shandong Normal University, Jinan, China.

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.

Groundwater Pollution, Two-Dimensional Convection Diffusion Equation, Finite Difference Method, Visualization, Numerical Simulation

Li, L. and Yin, Z. (2017) Numerical Simulation of Groundwater Pollution Problems Based on Convection Diffusion Equation. American Journal of Computational Mathematics, 7, 350-370. doi: 10.4236/ajcm.2017.73025.