Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Development of Internal Inflow/outflow Steady Mean Flow Boundary Condition Using Perfectly Matched Layer for the Prediction of Turbulence-cascade Interaction Noise

난류-캐스케이드 상호작용 소음 예측을 위한 Perfectly Matched Layer을 이용한 내부 입/출구 정상유동 경계조건의 개발

  • Received : 2012.05.11
  • Accepted : 2012.06.19
  • Published : 2012.07.20
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Abstract

It is essential for the accurate time-domain prediction of broadband noise due to turbulence-cascade interaction to develop inflow/outflow boundary conditions to satisfy the following three requirements: to maintain the back ground mean flow, to nonreflect the outgoing disturbances and to generate the specified input gust. The preceding study showed that perfectly matched layer(PML) boundary condition was successfully applied to absorb the outgoing disturbances and to generate the specified gust in the time-domain computations of broadband noise due to interaction of incident gust with a cascade of flat-plates. In present study, PML boundary condition is extended in order to predict steady mean flow that is needed for the computation of noise due to interaction of incident gust with a cascade of airfoils. PML boundary condition is originally designed to absorb flow disturbances superimposed on the steady meanflow in the buffer zone. However, the steady meanflow must be computed before PML boundary condition is applied on the flow computation. In the present paper, PML equations are extended by introducing source term to maintain desired mean flow conditions. The extended boundary condition is applied to the benchmark problem where the meanflow around a cascade of airfoils is predicted. These illustrative computations reveal that the extended PML equations can effectively provide and maintain the target meanflow.

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References

  1. Kim, S. and Cheong, C., 2009, Development of Efficient Numerical Method in Time-domain for Broadband Noise due to Turbulence-cascade Interaction, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 19, No. 7, pp. 719-725. https://doi.org/10.5050/KSNVN.2009.19.7.719
  2. Cheong, C., Jung, S. S., Cheung, W. S. and Lee, S., 2006, Time-domain Computation of Broadband Noise due to Turbulence Cascade Interaction, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 16, No. 3, pp. 263-269. https://doi.org/10.5050/KSNVN.2006.16.3.263
  3. Cheong, C., Joseph, P. and Lee, S., 2005, Computation of Broadband Noise of a 2D Flat-airfoil Cascade Subject to Ingested Turbulence, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 15, No. 6, pp. 687-696. https://doi.org/10.5050/KSNVN.2005.15.6.687
  4. Cheong, C., Joseph, P. and Lee, S., 2006, High-frequency Approximate Formulation for the Acoustic Power Spectrum due to Cascade-turbulence Interaction, Journal of Acoustical Society of America, Vol. 19, No. 1, pp. 108-122.
  5. Cheong, C., Jurdic, V. and Joseph, P., 2009, Decomposition of Modal Acoustic Power due to Cascade-turbulence Interaction, Journal of Sound and Vibration, Vol. 324, pp. 57-73. https://doi.org/10.1016/j.jsv.2009.01.059
  6. Posson, H., Moreau, S. and Roget, M., 2010, On the use of a Uniformly Valid Analytical Cascade Response Function for Fan Broadband Noise Predictions, Journal of Sound and Vibration, Vol. 329, pp. 3721-3743. https://doi.org/10.1016/j.jsv.2010.03.009
  7. Nallasamy, M., Hixon, R. and Sawyer, S., 2007, Solution of Unsteady Ruler Equations: Gustcascade Interaction Tones, Computers and Fluids, Vol. 36, pp. 724-741. https://doi.org/10.1016/j.compfluid.2006.06.002
  8. Hixon, R., Sescue, A. and Allampalli, V., 2010, Towards the Prediction of Noise from Realistic Rotor Wake/stator Interaction Using CAA, Procedia Engineering, Vol. 6, pp. 203-213. https://doi.org/10.1016/j.proeng.2010.09.022
  9. Sescu, A. and Hixon, R., 2009, Validation of a CAA Code using a Benchmark Wake-stator Interaction Problem, 15th AIAA/CEAS Aeroacoustic Conference, Miami, Florida, AIAA paper 2009-3340.
  10. Tam, C. K. W. and Webb, J. C., 1993, Dispersion-relation-preserving Finite Difference Scheme for Computational Aeroacoustics, Journal of Computational Physics, Vol. 107, No. 2, pp. 262- 281 https://doi.org/10.1006/jcph.1993.1142
  11. Hu, F. Q., 2005, A Perfectly Matched Layer Absorbing Boundary Condition for Linearized Euler Equations with a Non-uniform Mean Flow, Journal of Computational Physics, Vol. 208, No. 2, pp. 469-492. https://doi.org/10.1016/j.jcp.2005.02.028
  12. Parrish, S. A. and Hu, F. Q., 2007, Application of PML Absorbing Boundary Condition to Aeroacoustic Problems with an Oblique Mean Flow, AI7 2007-3509.
  13. Envia E., 2004, Benchmark Solution for the Category3-problem2: Cascade-gust Interaction, In: Fourth Computational Aeroacoustics on Benchmark Problems, NASA/CP-2004-212954, pp. 59-65.
  14. Giles, M., 1991, UNSFLO: A Numerical Method for the Calculation of Unsteady Flow in Turbomachinery, GTL Report #205.
  15. Shen, H. and Tam, C. K. W., 1998, Numerical Simulation of the Generation of Axisymmetric Mode Het Screech Tones, AIAA Journal, Vol. 36, No. 10. pp. 1801-1807. https://doi.org/10.2514/2.295