Determination of Acoustic Scattering Matrices Using Nonlinear Disturbance Equations

In this paper, the potential of using nonlinear disturbance equations for the determination of acoustic scattering matrices is investigated. In the course of this the acoustic behavior of a sudden area expansion is analyzed within a multi-step hybrid approach. First, the mean flow solution is determined on the basis of a steady Reynolds averaged Navier-Stokes (RANS) simulation. Then, the acoustic perturbations around this mean flow are computed on a separate mesh by solving the PErturbed Nonconservative Nonlinear Euler (PENNE) equations with a high order time domain solver. Finally the unsteady results are postprocessed with a multi-microphone method in order to extract acoustic scattering matrices over a range of frequencies. The results show that with the proposed set of nonlinear governing equations numerically stable solutions for the determination of acoustic scattering matrices in the time domain are attained. Moreover, comparisons with experimental data demonstrate the reliability and accuracy of the method.

[1]  Allan D. Pierce,et al.  Acoustics , 1989 .

[2]  F. Menter.  Improved two-equation k-omega turbulence models for aerodynamic flows , 1992 .

[3]  C. Tam,et al.  Dispersion-relation-preserving finite difference schemes for computational acoustics , 1993 .

[4]  F. Menter.  Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .

[5]  Lyle N. Long,et al.  A Parallel Three-Dimensional Computational Aeroacoustics Method Using Nonlinear Disturbance Equations , 1997 .

[6]  J. Ih,et al.  ON THE MULTIPLE MICROPHONE METHOD FOR MEASURING IN-DUCT ACOUSTIC PROPERTIES IN THE PRESENCE OF MEAN FLOW , 1998 .

[7]  P. Moin,et al.  A General Class of Commutative Filters for LES in Complex Geometries , 1998 .

[8]  J. Freund.  A Simple Method for Computing Far-Field Sound in Aeroacoustic Computations , 2000 .

[9]  C. Bailly,et al.  Numerical Solution of Acoustic Propagation Problems Using linearized Euler's Equations* , 2000 .

[10]  C. Bogey,et al.  Computation of Flow Noise Using Source Terms in Linearized Euler's Equations , 2000 .

[11]  W. Schröder,et al.  Acoustic perturbation equations based on flow decomposition via source filtering , 2003 .

[12]  P. Morris,et al.  Calculation of sound propagation in nonuniform flows: Suppression of instability waves , 2004 .

[13]  Jung Hee Seo,et al.  Linearized perturbed compressible equations for low Mach number aeroacoustics , 2006, J. Comput. Phys..

[14]  R. Jeremy Astley,et al.  Numerical methods for noise propagation in moving flows, with application to turbofan engines , 2009 .

[15]  Roland Ewert,et al.  A CAA Based Approach to Tone Haystacking , 2009 .

[16]  Christoph Richter,et al.  Liner impedance modeling in the time domain with flow , 2010 .

[17]  F. Thiele,et al.  METHODS FOR SUPPRESSING SHEAR LAYER INSTABILITIES FOR CAA , 2011 .

[18]  Wei Na,et al.  SIMULATIONS OF THE SCATTERING OF SOUND WAVES AT A SUDDEN AREA EXPANSION IN A 3D DUCT , 2012 .

[19]  Wolfgang Polifke,et al.  Identification of aero-acoustic scattering matrices from large eddy simulation. Application to a sudden area expansion of a duct , 2012 .

[20]  T. Sattelmayer,et al.  Linearized Navier-Stokes and Euler equations for the Determination of the Acoustic Scattering Behaviour of an Area Expansion , 2012 .

[21]  Esteban D. Gonzalez-Juez,et al.  Finite Volume Time-Domain Solver to Estimate Combustion Instabilities , 2015 .