About
Associate Professor Abbas El-Zein-
My research falls in the area of applied mathematics and environmental science and engineering. It covers both theoretical and applied topics using deterministic, stochastic and statistical approaches, with focus on computational and environmental geomechanics, as well as environmental risk.
Self-Adaptive Dimensionality, Time-Staggering and Sensitivity Maps in Modeling Variably-Saturated Soils
Summary
The project develops, implements and evaluates self-adaptive schemes which allow optimal combinations of spatial dimensionalities and temporal scales to be used in numerical simulations for saturated and variably saturated soils.
Supervisor(s)
Associate Professor Abbas El-Zein
Research Location
Program Type
Masters/PHD
Synopsis
Environmental management of soil and groundwater resources requires modeling the coupled flow and mass transfer equations. Despite significant heterogeneities in soil and groundwater environments, conventional modeling approaches assign a single dimensionality and a single temporal scale to problems of water flow and contaminant migration. The project develops, implements and evaluates self-adaptive schemes which allow optimal combinations of spatial dimensionalities and temporal scales to be used in numerical simulations for saturated and variably saturated soils. In addition, algorithms which efficiently compute contours of the sensitivity of solutions to selected parameters would be developed. The student will be trained in research, communication, analysis of water flow and contaminant migration problems, finite-element method and computer programming. Journals where this research can be published are Water Resources Research, International Journal for Numerical Methods in Engineering and International Journal for Numerical and Analytical Methods in Geomechanics, among others.
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Keywords
seepage, contaminant transport, unsaturated soils, finite element methods, adaptivity
Opportunity ID
The opportunity ID for this research opportunity is: 340
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