Applications of Dynamic Cartesian Grids Method on Unsteady Flows Involving Moving Boundaries

Abstract A mesh deformation algorithm for unstructured Cartesian grids is presented. Given a surface deformation, the method efficiently recalculates new locations of high aspect ratio cells that make up the viscous layers of the grid and then deforms the inviscid part of the grid using an established method based on a spring analogy technique. The unsteady Navier-Stokes equations are solved on dynamic Cartesian grid by an explicit, finite-volume, upwind method. This dynamic, unstructured flow solver is validated by computing the flow about NACA 0012 airfoil and M6 wing undergoing a forced periodic motion in angle of attack.