computation of unsteady flows around oscillating blades and aeroelasticity behavior

Unsteady flows around oscillating blades are computed using a multigrid time-accurate Navier-Stokes solver. A finite-volume discretization is used to discretize the Navier-Stokes equations in space. A second-order implicit time-discretization Scheme is reformulated so that an efficient Explicit Multistage Scheme with local time stepping, residual smoothing, and multigrid can be used to accelerate convergence within each unsteady time step. The conventional 'Direct Store' method is used to apply the phase-shifted periodic boundary conditions. A Euler solution is obtained for unsteady subsonic flows induced by an oscillating flat plate cascade; the unsteady pressure jumps across the blade are compared with results based on linear theories. Unsteady viscous flows over a supersonic compressor cascade are computed with both the Baldwin-Lomax model and a two-equation k-omega turbulence model. The moment and damping coefficients are calculated and compared with experimental data. (Author)