Dynamic Mesh Deformation with Radial Basis Functions for the Non-Linear Frequency Domain Method

摘要

A new method for computing mesh velocities using a Radial Basis Function mesh deformation algorithm was developed for unsteady flows requiring dynamic mesh deformation, and implemented into a finite-volume Non-Linear Frequency Domain solver for the Euler equations. The accuracy of the method was validated by comparing the computed velocities to those obtained using a Fast Fourier Transform algorithm, as well as by comparing the obtained flow solution to that of a rigid mesh movement method. The computational efficiency of the approach was also assessed by comparison with the aforementioned Fast Fourier Transform technique. Results were obtained for a two-dimensional heaving NACA 64A-010 airfoil, a pitching NACA 0012 airfoil, and a three-dimensional pitching LANN wing.