Piyada Phosri. Numerical computation for one-dimensional water quality model in a river using several finite difference methods. Doctoral Degree(Applied Mathematics). King Mongkut's Institute of Technology Ladkrabang. Central Library. : King Mongkut's Institute of Technology Ladkrabang, 2020.
Numerical computation for one-dimensional water quality model in a river using several finite difference methods
Abstract:
Water pollution is one of the most important environmental problems. The major water sources are contaminated with dirt and undesirable substances which affects quality of life and economic and social developments. In this research, mathematical models of water quality measurement, the hydrodynamic model and the dispersion model are introduced. The hydrodynamic model provides the velocity and elevation of water flow. The dispersion model describes the concentration pollutants. The hydrodynamic and dispersion models are formulated in one-dimensional equations. We first calculate the velocity fields of flow form. The velocity fields is used as the input of the dispersion model. Several finite different methods are proposed to solve the dispersion model. The explicit methods, the implicit methods, the Crank-Nicolson methods, the modified Siemieniuch-Gladwell methods, the four points explicit upwind methods, the third order Crank-Nicolson methods, the four points implicit upwind methods, the explicit upwind methods, and the Lax-Wendroff methods are used to find the pollutant concentration. The numerical simulation indicates that the proposed finite difference methods give difference aspects of each problem concerned in the study.
King Mongkut's Institute of Technology Ladkrabang. Central Library