Further Validations of Penalization and VIC Based Methods for Aeronautic Applications
Abstract
The fluid-solid interaction method proposed in this work is formulated for
a laminar flow modeled by the incompressible Navier-Stokes equations in which we consider
the presence of a rigid moving solid Si. The model is formulated inside an immersed
boundary method based on a penalization technique to account for rigid body. The penalization
technique extend the velocity field inside the solid body and use a penalty term
to enforce the rigid motion inside the solid. The method is used to study the case of
an oscillating airfoil in large flapping motion. A method appropriate for the calculation
of forces and angular momentum with penalized equations method is proposed and validated.
The effect of geometries on the aerodynamic forces and the angular momentum
is investigated, especially the airfoil thickness. For propulsion and power extraction, the
results are similar to the one available in literature. As the airfoil thickness increase the
maximum values decrease slightly, but the airfoil shape as only a small effects on results.