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Assistant Professor of Mathematics
PhD, McMaster
Computational Fluid Dynamics
Office: HH-3035
Phone: (709) 737-8071
Fax: (709) 737-3010
Personal
website
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WINTER 2009
AMATH 3202
AMATH 3132
FALL 2008
AMATH 3202
I obtained PhD in Applied Mathematics with a specialization on
Turbulence at the McMaster University in 2006. Since then I spent
one and a half years at the Department of Earth and Environmental
Sciences, University of Waterloo as a SHARCNET post-doctoral fellow
in Atmospheric modelling. I joined as an Assistant Professor at the
Department of Mathematics and Statistics, Memorial University in
the summer of 2008.
My current scientific interests concern modelling, computing, and
understanding Fluid Dynamics problems that are challenging in
environmental, aeronautical, and industrial applications. More
specifically, I focus on integrating dynamically adaptive mesh
refinement techniques with Computational Fluid Dynamics to develop
an integrated modelling and computing framework for an improved
understanding of global warming and climate change issues. This
includes the development and verification of high resolution
computational models and adaptive parameterization techniques.
Environmental i.e. geophysical flows are characterized by a wide
range of length and time scales, and modern computing resources are
unable to compute such flows directly from the largest scale down
to the smallest scale. However, researchers have claimed that such
turbulent flows are extremely intermittent in space and time. This
means that only a fraction of the flow is significant. However, it
is not yet known how the space-time interemittency links with
non-dimensional flow parameters such as the Reynolds number, and
how to capture only the most significant portion of a flow,
although several attempts have been taken. I use mathematical tools
such as nonlinear approximation and wavelet theory to develop a
model of turbulent flow, which discards dynamically the
non-significant portion of the motion. Further details of this
approach can be found in my home page ( http://www.math.mun.ca/~alamj/.)
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