基于有限差分法研究和模拟空气污染

Study and Simulate for Air Pollution Based on Finite Difference Method

有限差分法是用来解决平面连续问题的有限元法。主要讨论有限差分法的理论及方法,以及有限差分法在流体动力学中的应用。通过分析势流场方程和流体扩散方程,使用差分法进行离散化并给出一定的边界条件进行数值分析。在空气污染中,烟雾扩散是典型的平面连续问题,这里将采用有限差分法来分析模拟烟雾的扩散。

The finite difference method, a finite element method, is used to solve the plane continu- ous problems. The theory and method of the finite difference method, and the application on the boundary problem are introduced. By analyzing the potential flew field equation and liquid diffusion equation, the difference method is used and the numerical analysis under certain boundary condition is conducted. In air pollution, the smoke diffusion is a typical plane continuous problem. In this paper, the finite difference method is used to analyze and simulate the spread of the smoke.