The main objective of this monograph is to develop a stabilized finite element method (FEM) for solving the incompressible Navier-Stokes equations. Using Finite Calculus (FIC), flows with a wide range of Reynols numbers can be modeled. The secondary objective is to test the applicability of the FIC/FEM model to fluid-structure interaction (FSI) emphasizing aero-elasticity.
A finite element method for solving the incompressible Navier-Stokes equations at low and high Reynolds number using finite calculus. Application to fluid-structure interaction