Finite Difference Formulation for Prediction of Water Pollution

Malaysian Technical Universities Conference on Engineering and Technology 2017

Johari, Hanani^1 ; Rusli, Nursalasawati^1 ; Yahya, Zainab^1

Institute of Engineering Mathematics, Universiti Malaysia Perlis, Kampus Pauh Putra, Perlis, Arau

02600, Malaysia^1

关键词: Advection-diffusion equation;    Crank-Nicolson;    Diffusion parameters;    Human activities;    Initial conditions;    Living organisms;    Pollution concentration;    Quality of water;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/318/1/012005/pdf
DOI  :  10.1088/1757-899X/318/1/012005

来源: IOP

【 摘 要 】

Water is an important component of the earth. Human being and living organisms are demand for the quality of water. Human activity is one of the causes of the water pollution. The pollution happened give bad effect to the physical and characteristic of water contents. It is not practical to monitor all aspects of water flow and transport distribution. So, in order to help people to access to the polluted area, a prediction of water pollution concentration must be modelled. This study proposed a one-dimensional advection diffusion equation for predicting the water pollution concentration transport. The numerical modelling will be produced in order to predict the transportation of water pollution concentration. In order to approximate the advection diffusion equation, the implicit Crank Nicolson is used. For the purpose of the simulation, the boundary condition and initial condition, the spatial steps and time steps as well as the approximations of the advection diffusion equation have been encoded. The results of one dimensional advection diffusion equation have successfully been used to predict the transportation of water pollution concentration by manipulating the velocity and diffusion parameters.