Abstract
The objective of this work is the validation of a moving-body fourth-order immersed boundary method for direct tonal noise predictions of rotor-stator interactions in twodimensional cascades. The time-dependent and compressible Euler equations are numerically solved using a finite volume discretization where the fluxes are computed using the skew-symmetric form of Ducros explicit fourth-order numerical scheme. The time marching process is achieved using a third-order Runge-Kutta scheme proposed by Shu. The core of the immersed boundary method is based on a discrete forcing approach where the boundary conditions are directly imposed in the control volumes that contain the immersed boundary points, resulting in a sharp representation of the static and moving solid boundaries. Since the prescribed boundary conditions are directly imposed in the boundary volumes with fourth-order accuracy, the overall spatial accuracy of the numerical scheme is preserved. The numerical results obtained for mode generation and propagation due to rotor-stator interactions of two-dimensional cascades using the geometry and operational conditions at the tip of the Advanced Noise Control Fan (ANCF) are compared with the results from the mode generation and propagation theory. The comparison show that the high-order immersed boundary methodology used in this work is able to accurately predict the tonal mode generation and propagation in rotor-stator interactions of two-dimensional cascades, validating this numerical approach for this type of aeroacoustics problems.
Published Version
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