This course is an enriched version of EARTH 456 for graduate students. It introduces the student to numerical modelling techniques in groundwater science, with an emphasis on a sound understanding of the fundamental principles as a basis for developing and using models in a research environment. Numerical techniques including finite difference, finite element, and particle tracking methods are studied and applied to the solution of problems in groundwater flow, aquifer mechanics, flownet generation, and advective-dispersive transport. Proper modelling approaches, error analysis, stability, discretization constraints, pitfalls, and model misuse are discussed. Students will be developing some of their own groundwater models, and will be obtaining hands-on experience with state-of-the-art interactive groundwater models in the PC laboratory. Prior experience with FORTRAN is essential. Recommended: MATH 111B or equivalent. Students without the required prerequisite may seek consent of the instructor. |