The goal of this research is development of efficient numerical solution methods for the Navier Stokes system.
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.

Bartosz Protas

• Assessment of the utility of wavelet and Fourier filtering using the concept of geometrical alignments

• Derivation of an efficient method for calculation of hydrodynamic forces based on velocity and vorticity