High order numerical simulation of aeolian tones

Computers and Fluids

Volumn 37, Issue 4, 2008, Pages 450-462

  Müller, Bernhard ^a  

^a UPPSALA UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; COMPUTER SIMULATION; EULER EQUATIONS; FINITE DIFFERENCE METHOD; GAS DYNAMICS; NAVIER STOKES EQUATIONS; VORTEX SHEDDING;

AEOLIAN TONE; COMPUTATIONAL AEROACOUSTICS; HIGH ORDER FINITE DIFFERENCE METHOD;

COMPUTATIONAL FLUID DYNAMICS;

ACOUSTIC NOISE; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; EULER EQUATIONS; FINITE DIFFERENCE METHOD; GAS DYNAMICS; NAVIER STOKES EQUATIONS; VORTEX SHEDDING;

EID: 38649102201     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2007.02.008     Document Type: Article

References (34)

1. Strouhal V. Ueber eine besondere Art der Tonerregung. Annalen der Physik und Chemie 241 5 (1878) 216-251
2. Rayleigh L. Aeolian Tones. Philos Mag 29 6 (1915) 433
3. Phillips O.M. The intensity of aeolian tones. J Fluid Mech 1 (1956) 607-624
4. Goldstein M.E. Aeroacoustics (1976), McGraw-Hill, New York
5. Tam CKW, Hardin JC, editors. Second computational aeroacoustics (CAA) workshop on benchmark problems. NASA CP 3352; 1997.
6. Shen W.Z., Michelsen J.A., and Sorensen J.N. A collocated grid finite volume method for aeroacoustic computations of low-speed flows. J Comput Phys 196 (2004) 348-366
7. Gloerfelt X., Pérot F., Bailly C., and Juvé D. Flow-induced cylinder noise formulated as a diffraction problem for low Mach numbers. J Sound Vib 287 (2005) 129-151
8. Ewert R., and Schröder W. Acoustic perturbation equations based on flow decomposition via source filtering. J Comput Phys 188 (2003) 365-398
9. Hatakeyama N., and Inoue O. A novel application of Curle's acoustic analogy to aeolian tones in two dimensions. Phys Fluids 16 5 (2004) 1297-1304
10. Inoue O., and Hatakeyama N. Sound generation by a two-dimensional circular cylinder in a uniform flow. J Fluid Mech 471 (2002) 285-314
11. Marsden O, Bogey C, Bailly C. High-order curvilinear simulations of flows around non-Cartesian bodies. AIAA Paper 2004-2813; 2004.
12. Gustafsson B., Kreiss H.-O., and Oliger J. Time dependent problems and difference methods (1995), Wiley, New York
13. Strand B. Summation by parts for finite difference approximations for d/dx. J Comput Phys 110 (1994) 47-67
14. Gerritsen M., and Olsson P. Designing an efficient solution strategy for fluid flows. J Comput Phys 129 (1996) 245-262
15. Nordström J., and Carpenter M.H. Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations. J Comput Phys 148 (1999) 621-645
16. Müller B. High order difference method for low Mach number aeroacoustics. In: Proceedings of ECCOMAS CFD conference 2001, 4-7 September Swansea, UK; 2001. .
17. Müller B., and Yee H.C. High order numerical simulation of sound generated by the Kirchhoff vortex. Comput Visual Sci 4 (2002) 197-204
18. Müller B., and Yee H.C. Entropy splitting for high order numerical simulation of vortex sound at low Mach numbers. J Sci Comput 17 1-4 (2002) 181-190
19. Müller B., and Johansson S. Strictly stable high order difference approximations for computational aeroacoustics. Comptes Rendus Mecanique 333 9 (2005) 699-705
20. Müller B, Johansson S. Strictly stable high order difference approximations for low Mach number computational aeroacoustics. In: Neittaanmäki P, Rossi T, Majava K, Pironneau O, editors. Proceedings of 4th ECCOMAS congress 2004, 24-28 July. Jyväskylä, Finland; 2004. .
21. Müller C. High order accurate numerical solution of the linearized Euler equations for sound propagation in the atmosphere, Master's Thesis. Uppsala University; 2004.
22. Johansson S. High order difference approximations for the linearized Euler equations, IT Licenciate Thesis 2004-006. Uppsala University; 2004.
23. Müller B. Towards high order numerical simulation of aeolian tones. PAMM 5 1 (2005) 473-474
24. Sesterhenn J., Müller B., and Thomann H. On the cancellation problem in calculating compressible low Mach number flows. J Comput Phys 151 (1999) 597-615
25. Müller B. Computation of compressible low Mach number flow. Habilitation Thesis. ETH Zürich; 1996.
26. Carpenter M.H., Gottlieb D., and Abarbanel S. Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: methodology and application to high-order compact schemes. J Comput Phys 111 (1994) 220-236
27. Mattsson K. Boundary procedures for summation-by-parts operators. J Sci Comput 18 1 (2003) 133-153
28. Mattsson K., and Nordström J. Finite difference approximations of second derivatives on summation by parts form. J Comput Phys 199 (2004) 503-540
29. Kormann K, Kronbichler M. High order finite difference approximations for parabolic and hyperbolic-parabolic problems with variable coefficients. Project Report, Department of Information Technology. Uppsala University; 2006.
30. Zhang Q. Private Communication. Institute of Aerodynamics: RWTH Aachen; 2005.
31. Engquist B., and Majda A. Absorbing boundary conditions for the numerical simulation of waves. Math Comp 31 139 (1977) 629-651
32. Vichnevetsky R., and Bowles J.B. Fourier analysis of numerical approximations of hyperbolic equations (1982), SIAM, Philadelphia
33. Eriksson L-E. Boundary conditions for artificial dissipation operators. Technical Report FFA TN 1984-53, FFA. The Aeronautical Research Institute of Sweden: Stockholm; 1984.
34. Posdziech O., and Grundmann R. Numerical simulation of the flow around an infinitely long circular cylinder in the transition regime. J Theoret Comput Fluid Dyn 15 (2001) 121-141