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.
New Numerical Techniques for solving the Reactive Diffusion-Advection Equation
Summary
The project develops new methods in 3D for solving advection-dominated reactive diffusion advection problems and assess their performances.
Supervisor(s)
Associate Professor Abbas El-Zein
Research Location
Program Type
Masters/PHD
Synopsis
The diffusion-advection equation is widely used in the modeling of contamination problems, in water, air and soil environments. Numerical difficulties arise when the advective flow component of transport and/or the reactive coefficient are large compared to the diffusive component. Many approaches have been developed to deal with the problem: Petrov-Galerkin and least-square stabilisation methods, enrichment methods, exponential shape functions, split operator methods and so on. The project extends some of these methods into 3D, refine some of them, and conducts systematic comparison of their relative performances based on an indicator of their accuracy and computational cost. The student will be trained in research, communication as well as problems of groundwater contamination, conventional and meshless finite element formulation and implementation, and stabilization techniques. Journals where this research can be published are International Journal for Numerical Methods in Engineering and International Journal for Numerical and Analytical Methods in Geomechanics,Water Resources Research, among others.
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Keywords
contaminant transport, finite element methods, stabilisation, reactive diffusion advection
Opportunity ID
The opportunity ID for this research opportunity is: 342
Other opportunities with Associate Professor Abbas El-Zein
- Multi-Scale Finite Element Method in Fluid Flow and in Porous Media
- Self-Adaptive Dimensionality, Time-Staggering and Sensitivity Maps in Modeling Variably-Saturated Soils
- Multi-Scale Modeling of Fluid Flow in Porous Media
- Coupled Seepage and Contaminant Transport Using the Lattice-Boltzmann Method
- Geotechnical Engineering