Abstract
A robust efficient upwind implicit time-marching algorithm for the two-dimensional unsteady Thin-Layer Navier–Stokes equations, employing subiterations, is presented, especially directed to the aeroelastic analysis in viscous transonic flow. The purpose of using subiterations is to accelerate steady-state convergence and to permit a large time step in time-accurate simulations, thereby reducing the computational cost, while maintaining adequate accuracy. The ability of the method is demonstrated for the cases of inherently unsteady flow due to shock-induced separation, forced vibrations with large time steps,O(10) per period, and an aeroelastic analysis of a two-degree-of-freedom airfoil.
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