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Zhu Wang
Institute for Mathematics and its Applications (IMA)
Mail: 354 Lind Hall |
I am an industrial postdoc of the IMA at
University of Minnesota, Twin Cities.
I graduated from the
Department of Mathematics at
Virginia Tech in Spring, 2012.
I worked with my advisor,
Dr. Traian Iliescu in my PhD study.
I worked with Dr. Mihai Anitescu
and Dr. Oleg Roderick
in MCS at Argonne National Laboratory during 2010 and 2011 summers.
Teaching
Research
My research interests are in the development of efficient and accurate models and algorithms for grand challenge problems at the frontier of computational science and engineering, such as nuclear engineering uncertainty quantification, energy efficient building design and control, and climate modeling. I have also developed sound mathematical support for each of these new models and algorithms. My main research directions can be divided into three parts, which often overlap.
Using the proper orthogonal decomposition (POD), we developed and analyzed novel POD-ROM closure models for structurally dominated turbulent flows. A new two-level algorithm was proposed that allowed, for the first time, efficient computational development of realistic, nonlinear state-of-the-art POD-ROM closure models. The third noteworthy achievement was the development of a mathematically sound approach to determine the model parameters in the POD-ROM closure models by performing a rigorous error analysis for the finite element discretization.
The new POD-ROMs has been employed in realistic engineering problems, such as uncertainty quantification in nuclear engineering, and airflow optimization and control for energy efficient buildings.
We developed an approximate deconvolution large eddy simulation model for the quasi-geostrophic equations, which are used to describe the double-gyre circulations characterizing mid-latitude ocean basins. The new AD model decreased the computational cost of the direct numerical simulation by an order of magnitude without compromising the physical accuracy.
My FEM research has evolved into two main directions. The first has been the development of sound foundations for the new POD-ROM closure models, by extending the FEM theoretical framework to the POD setting and providing rigorous error estimates that yielded insight into the optimal model parameter choices. The second research direction has been the development and analysis of low-order ( C0 ) and high-order ( C1 ) FEM discretizations of the quasi-geostrophic equations.
last updated, May. 2012