Numerical simulation of groundwater pollution problems based on convection diffusion equation

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摘要

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.

出版物
In American Journal of Computational Mathematics

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李苓玉
李苓玉
博士后研究员

研究方向为生物信息学,包括并不限于:空间转录组学分析、稀疏统计学习和生物标志物识别。