Research Projects

This project aims to find a suitable multiscale stabilization for the Navier-Stokes equation. Due to the varied scales present in the problem, this becomes numerically challenging to obtain optimal solution at high Reynolds number. The discretization should take into account the large and small scales appropriately. A very fine spatial mesh is needed for high Reynolds number, which requires a high computational cost to solve the problem numerically. Secondly, for a given spatial mesh, the stability and convergence of the iterative scheme depend on the Reynolds number, and hence the iterative method may diverge for a high Reynolds number. We would like to obtain new variational multiscale technique addressing the difficulties that are existing in the literature.