Research


Areas of main interest:


Some graphical presentations of certain umerical results (see the publications list)

Shape optimization: a liquid metal bubble in equilibrium. The metal bubble is encloded by electrical wires under high frequency currents. The shown shape makes the forces (electromagnetic, surface tension and gravitational forces) in equlibrium. It minimzes the system energy over all shapes, subject to the measure of the bubble shape is given. A liquid metal bubble


Mathematical modeling, computation and analysis of reaction-diffusion processes in catalyst layers of PEM fuel cells

This work is a collaboration of Oleg Volkov, and Peter Berg. The numerical results are obtained by Oleg Volkov. Click here, or in the image, to see a movie representing the time evolution of oxygen, vapor, water, proton concentrations and potential near a triple phase boundary in catalyst layer of PEM hydrgoen fuel cells.
last frame

2D shape optimization of hydrogen fuel cell (HFC) channels

Work in collaboration with Jamal Al-Smail, PhD student.


3D hydrogen fuel cell (HFC) fluid dynamics computations:
O2 concentration (above) and current distribution (below) in HFC; dry model, cathode chanel and graphite diffusive layers.
O_2 conc and Current in HFC
Free air - porous domain shape optimization: matching a given transmission coefficient. Initial porous domain pattern shape and final porous domain pattern shape, for different cases (the set of admissible domains is limited only to radial pertirbation of the initial domain).
In colors is given the pattern of dynamics close to free air / porous domain interface.

Free air - porous domain shape optimization: maximize the velocity in some given direction, subject to a given transmission (free air-porous domain) coefficient and porous domain pattern measure fixe.
shape optimization: free air - porous domain interface dynamics shape
                    optimization: free air - porous domain