Aeroelastic analysis of a typical section using Euler and Navier-Stokes mesh-less method

The main aim of this paper is to develop an ecient aeroelastic tool for predicting the utter speed of a typical section in transonic regime. An implicit meshless method, based on Euler and Navier-Stokes equations, is conducted to simulate the transonic uid ow around an airfoil. This technique is applied directly to the dierential form of the aerodynamic governing equations and the time integration is carried out using a dual-time implicit time discretization scheme. The capabilities of the ow solution method are demonstrated by ow computations around NACA0012 airfoil under dierent ow conditions. For structural dynamics simulation, a typical section model with pitching and plunging motion capability is considered. Finally, the aeroelastic analysis of the 2D model is performed by the consecutive simulation of both structural and aerodynamic domains. Also, the eect of viscosity and time interval choice between two structural and aerodynamic solvers on utter instability is studied. A comparison between the obtained results and those available in the literature shows the good accuracy of the present method