报告人： Prof. Richard Ewing
Mathematical Modeling in Energy and Environmental Applications
Mathematical models are used extensively to understand the transport and fate of groundwater contaminants and to design effective in situ groundwater remediation strategies. Four basic problem areas must be addressed in the modeling and simulation of the flow of groundwater contamination. One must first obtain an effective mathematical model to describe the complex fluid/fluid interactions that control the transport of contaminants in groundwater. This includes the problem of obtaining accurate reservoir descriptions at various length scales to describe the underground reservoir in a statistical manner. One obtains coupled systems of nonlinear time-dependant equations. Next, one must develop accurate discretization techniques to discretize these continuous equations that retain the important physical properties of the continuous models. Then, one must develop efficient numerical solution methods that can solve the enormous resulting systems of linear equations. Finally, one must be able to visualize the results of the numerical models in order to ascertain the validity of the modeling process by comparing with data obtained from the physical process. Aspects of each of these steps will be presented.
报告时间： 2006年9月8日(周五) 下午4:00--5:00