Research Interests

My primary research interests are in the fields of applied mathematics, computational science, and engineering applications. In these fields, my broad interests include model development, compatible numerical discretization, robust solver, and numerical simulation package development for read-world problems. In particular, I am interested in developing efficient and accurate solutions to multiphase, multicomponent, multidomain, multiscale and multiphysics problems encountered in modeling real-world physical phenomena involving some chemical reactions.

Computational Fuel Cell Dynamics, the focus of my Ph.D. dissertation work, is one such application. Providing high energy efficiency, low pollution, and low noise, fuel cells are widely considered to be the energy conversion devices for mobile, stationary, and portable power of the 21st century. The fundamental fuel cell model consists of five principles of conservation, namely, mass, momentum, species, charge (electrons and ions), and thermal energy. Overall, transport equations couple with electrochemical processes through source terms to describe reaction kinetics and electro-osmotic drag in the polymer electrolyte.

See my publications.