My educational and professional research experience to date covers a range of topics in the areas of convective heat and mass transfer, computational fluid mechanics, solidification modeling, and numerical methods. This experience has consisted of analytical, computational and experimental research.
Previous to my Ph.D. program, I worked at Bell Laboratories where I was involved in numerical and experimental research on free and forced convection for electronic packaging applications. My Ph.D. dissertation research was an experimental and numerical study of double-diffusive (thermosolutal) convection in a fluid saturated porous layer. This problem has applications in both geophysics and in materials processing.
At the National Institute of Standards and Technology, I have been involved in a wide variety of mathematical modeling research and technical consulting. My research at present involves modeling the effects of fluid flow in various types of solidification processes, and I have been heavily involved in the research at NIST on the development and application of the phase-field method for microscopic solidification modeling.
The problem of buoyancy-driven, multicomponent convection is relevant to the solidification of alloys from the melt. There are aspects of this problem area concerning convection in a viscous fluid alone, and some where flow in a saturated porous medium is a relevant model. One aspect of the research has been to study the effects of time-dependent forcing on convection in solidification flows. The applications of the research are the characterization of ``g-jitter'' effects under microgravity conditions and the evaluation of vibration as a potential means for controlling convection on Earth.
In the phase-field area, I have been involved in computationally intensive simulations of dendritic growth. This work has involved both the development of highly efficient finite-difference codes for solving the phase-field equations, as well as the use of a general purpose adaptive algorithm available in the public domain. Common to this modeling research is the solution of complicated systems of nonlinear partial differential equations. I have considerable experience in the numerical methods used to solve these systems and part of my responsibility is to consult with other scientists in this area. I serve as the technical consultant at NIST for the commercial CFD package, FIDAP.