Abstract
An unsteady, compressible, two-dimensional, parallelized Navier Stokes solver is developed to predict the flow around cascaded vibrating blades. The presented method applies the Advection Upstream Splitting Method to discretize the convective terms and central differences for the diffusive terms of the Navier-Stokes equations on a structured H-type mesh in boundary-fitted coordinates. Turbulence is modeled by using the Baldwin-Lomax turbulence model. The time accurate integration of the governing equations is performed by applying an explicit four-stage Runge-Kutta scheme. Some of the calculations are conducted on a IBM/SP2 parallel computer using the message passing system MPI. At the farfield boundary, viscous effects are assumed to be negligible and for steady state and the unsteady flow capacitive boundary conditions based on the theory of characteristics for the locally one-dimensional problem are used. Unsteady inviscid calculations are performed with the same code using non-reflecting boundary condtitions.
Emphasis is laid on non-linear effects within the blade flutter phenomenon, i.e. cases where separation and shock boundary-layer interaction occurs in compressor cascades. In detail the pressure response of the flow on imposed blade motions is presented for these flow situations. The steady state results agree well for viscous flow for the two shown test cases with other viscous and inviscid flowsolvers. Unsteady viscous flow calculations on these flow configurations show the applicability of the presented method to the blade flutter phenomenon. For separated subsonic unsteady viscous flow good agreement with other flow solvers was found, whereas the test case for transonic viscous unsteady flow showed a big influence of the boundary conditions on the results.
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Höhn, W., Fransson, T.H. (1998). Flutter Analysis of Two — Dimensional Viscous Subsonic and Transonic Flow in Turbomachines Using the Advection Upstream Splitting Method. In: Fransson, T.H. (eds) Unsteady Aerodynamics and Aeroelasticity of Turbomachines. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5040-8_13
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DOI: https://doi.org/10.1007/978-94-011-5040-8_13
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