Stable nodal projection method on octree grids - Part II: Computational Results

This is the second part of a two part presentation reviewing our novel collocated projection method for solving the incompressible Navier-Stokes equations with arbitrarily shaped boundaries. Our method utilizes entirely collocated variables (pressure and velocity), which greatly simplifies the complexity of the underlying data structures and streamlines code development. In this second part, we will focus on verification and validation of our numerical scheme by presenting the results of our solver for a variety of canonical two- and three-dimensional fluid flows. We further demonstrate that our collocated method is a competitive tool for studying complex fluid flows by presenting results from real-world science and engineering problems.