My main interest is the design and analysis of efficient numerical solution methods for partial differential equations that arise in fluid dynamics. My PhD thesis work emphasized mathematical techniques. After my PhD work, my focus has shifted to actual engineering applications.

In New Zealand I ventured into tidal flow modeling and sail performance analysis. I am still heavily involved in these areas through Stanford Yacht Research and the SUNTANS project. In Petroleum Engineering I am working on Design of efficient and robust streamline methods for compositional simulation Numerical simulation of in-situ combustion processes Direct numerical simulation and laboratory simulation of pore-scale flows.