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http://dx.doi.org/10.5139/JKSAS.2005.33.7.018

Simulation of Trailing Edge Scattering Using Linearized Euler Equations with Source terms  

Park, Yong-Hwan (서울대학교 기계항공공학부 대학원)
Bin, Jong-Hoon (서울대학교 기계항공공학부 대학원)
Cheong, Cheol-Ung (한국표준과학연구원 물리표준부 음향진동그룹)
Lee, Soo-Gab (서울대학교 기계항공공학부)
Publication Information
Journal of the Korean Society for Aeronautical & Space Sciences / v.33, no.7, 2005 , pp. 18-25 More about this Journal
Abstract
In this study, the main focus is the simulation of acoustic wave scattering in trailing edge and the analysis of the generation mechanism of instability wave by the interaction of trailing edge, shear flow and initial disturbance. The numerical algorithm is based on CFD/CAA hybrid method with high-order computational aeroacoustic method. It is found that steady mean flow gradient terms play a crucial role on the generation of instability wave through the comparison of simulations of Simple Linearized Euler Equation and Full Linearized Euler Equation. Through the comparison with the results of Full Navier-Stokes Equation, it is reasonable and efficient to use the Full Linearized Euler Equation in the initial generation mechanism of the instability wave near the trailing edge.
Keywords
Trailing edge scattering; Hybrid method; Linearized Euler equation with source terms; Computational aeroacoustics; Instability wave;
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  • Reference
1 Christophe Bogey. and Christophe Bailly., 'Three-dimensional non-reflective boundary conditions for acoustic simulations: far field formulation and validation test cases', Acta acustica united with acustica, vol. 88, 2002
2 Bin, J. and Cheong, C. and Lee, S., 'Optimized Boundary Treatment for Curved Walls for High-order Computational Aero -acoustics Schemes', Journal of AIAA, Vol. 42, No.2, 2004, pp. 414-417   DOI   ScienceOn
3 Roe, P. L., 'Approximate Riemann Solvers, Parameter Vectors and Difference Schemes', Journal of Computational Physics, Vol. 43, 1981, pp. 357-372   DOI   ScienceOn
4 http://www.math.fsu.edu/CAA4/pdfs/Category4-problem2.pdf
5 Baron, M.F., 'Receptivity of Compressible Mixing Layers', Ph. D Thesis, Stanford University, 2003
6 Tam, C.K.W. and Webb, J.C., 'Dispersion-Relation-Preserving finite difference schemes for computational acoustics,' Journal of Computational Physics, Vol. 107, 1993, pp. 262-281   DOI   ScienceOn
7 Cheong, C. and Lee, S., 'Grid-optimized dispersion-relation-preserving schemes on general geometries for computational aeroacoustics', Journal of Computational Physics, Vol. 174, 2001, pp. 248-276   DOI   ScienceOn
8 Tim Colonius and Lele, S. K., 'Computational aeroacoustisc: progress on nonlinear problems of sound generation', Progress in Aerospace Science, Vol. 40, 2004, pp. 345-416   DOI   ScienceOn
9 Dziomba, B. and Fiedler, H. E., 'Effect of initial conditions on two-dimensional free shear layers', Journal of Fluid Mechanics, Vol. 152, 1985, pp.419-442   DOI   ScienceOn
10 Barone, M. F. and Lele, S. K., 'A numerical technique for trailing edge acoustic scattering problems', Journal of AIAA, 2002
11 Christophe Bogey., Christophe Bailly. and Daniel Juve., 'Computation of Flow Noise Using Source Terms in Linearized Euler's Equations', Journal of AIAA, Vol. 40, No.2, 2002, pp. 235-243   DOI   ScienceOn
12 Tam, C.K.W., 'Computational Aero -acoustics: Issues and Methods', Journal of AIAA, Vol. 33, 1995, pp. 1788-1796   DOI   ScienceOn
13 Tam, C. K. W. and Dong. Z., 'Radiation and Outflow Boundary Conditions for Direct Computation of Acoustic and Flow Disturbances in a Nonuniform Mean Flow', Journal of Computational Acoustics, Vol. 4, No. 11, 1996
14 Tam, C. K. W. and Dong. Z., 'Wall boundary conditions for high order finite difference schemes in computational aeroacoustics', Theoretical Compututational Fluid Dynamics, Vol. 6, 1994, pp.303-322   DOI