Numerical methods for groundwater flow problems

Author: Chen Chongxi
Publisher:
Publish Date: 2002-06-01
Features: This course is a major professional course for undergraduate students in hydrology and water resources and environmental engineering. It is designed for students who have completed the course on groundwater dynamics. The course addresses the limitations of analytical methods in groundwater dynamics, teaching numerical calculation methods for groundwater flow problems and internationally popular software systems, primarily finite difference and finite element methods. This enables students to better master and apply groundwater dynamics theory and methods to solve practical problems. The content includes modeling of groundwater flow problems, the principles of the finite difference method, the derivation of various finite difference formats, their characteristics, and applicable conditions. It also covers the fundamental principles of the finite element method, discretization processes, and solution methods. Additionally, it introduces exploration methods, computational methods related to the numerical solution of groundwater flow problems, and an overview of groundwater numerical simulation software systems, along with their applications. This course is a major professional course for undergraduate students in hydrology and water resources and environmental engineering. It is designed for students who have completed the course on groundwater dynamics. The course addresses the limitations of analytical methods in groundwater dynamics, teaching numerical calculation methods for groundwater flow problems and internationally popular software systems, primarily finite difference and finite element methods. This enables students to better master and apply groundwater dynamics theory and methods to solve practical problems. The content includes modeling of groundwater flow problems, the principles of the finite difference method, the derivation of various finite difference formats, their characteristics, and applicable conditions. It also covers the fundamental principles of the finite element method, discretization processes, and solution methods. Additionally, it introduces exploration methods, computational methods related to the numerical solution of groundwater flow problems, and an overview of groundwater numerical simulation software systems, along with their applications.