Abstract
In this chapter, on the basis of the variational principles developed on the formulation of inverse problem of two-dimensional (2 D) unsteady flow around oscillating airfoils, the finite element method (FEM) is employed for numerical solution of the inverse problem of 2 D unsteady transonic flow around oscillating airfoils, incorporating the non-reflecting far-field boundary conditions and a new unsteady Kutta condition. All unknown boundaries (airfoil contour) and discontinuities are handled via the functional variation with variable domain and artificial density concept. For the numerical realization of the variable-domain variation, a special finite element with self-adjusting nodes is also suggested herein. The numerical results show that the present method is effective for the design of unsteady airfoil.
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