基于MATLAB的四维水质模型仿真

Simulation of 4-dimention water quality model based on MATLAB

为了更好的反应污染物在流体中的扩散过程,在一维的水质模型的基础上提出了四维水质模型。根据扩散时的质量守恒定律,经过三维的傅立叶变换,建立起污染物扩散的微分方程,再进行合理的简化,得出污染物在水体中各点浓度随时间变化的解析式,并通过一个实例在MTALAB平台上得到仿真结果。实验结果表明,使用MATLAB比其他软件更加形象、直观的反应四维水质模型,同时验证了四维模型比一维更具有先进性。

In order to describe the spreading process of pollutants in fluid better, four-dimention water quality model is proposed on the base of one-dimention water quality model. Through 3-dimention fourier transformation, the pollutant dispersion equation is established according to the law which is called the conservation of mass diffusion. By reasonable simplification, the water time-varying analytic is made up to the point of concentration of pollutants. The result comes out on the MATLAB platform through an example. The result shows that four-dimention water quality model can be described by MATLAB directly and vividly and at the same time four-dimensional model is more advanced than the one-dimensional.