Unconditional stable solutions of the Euler equations for two- and three-dimensional wings in arbitrary motion (Q1910322)

The results are generated by a finite volume Euler method based on the Runge-Kutta time stepping scheme. To increase the time step which is limited by the stability of the Runge-Kutta scheme, the implicit residual smoothing which is modified by using variable coefficients to prevent the loss of flow physics for the unsteady flows is engaged. With this unconditional stable solver the unsteady flows about the wings in arbitrary motion can be received efficiently. Finally, the two- and three-dimensional rectangle wings which are in rigid and flexible pitching oscillations in the transonic flow are investigated.