Interests
- Application-driven, high-performance numerical algorithm development.
- High-performance kernels such as: dense and sparse linear algebra, structured grids, particles, and Monte Carlo based methods.
- Numerical investigation of: fluid mechanics; particle systems; image and data search/analysis; time series; population dynamics; massive datasets; and many more.
Recent Research
My current research area is the study of multiscale environmental flows using Juice, an adaptive mesh refinement (AMR) model developed for my dissertation. More specifically:
Shear instabilities on interfacial internal gravity waves
Density driven flows with complex geometry
Biological flows in highly complex geometry
Second-order accurate AMR algorithms for solving the Navier-Stokes equations
Fourth-order accurate AMR algorithms for solving Poisson's equation
