The goal of this research is development of efficient numerical solution methods for the Navier Stokes
Given the extreme spatio-temporal complexity and chaotic nature of turbulent flows, the main
challenge is to develop adaptive strategies which leverage localization of hydrodynamic fields, thereby
reducing the computational cost of the algorithm.
In this research we focus on adaptive wavelet methods
and Lagrangian vortex methods for computation of flows in a variety of configurations.