Infinite elements for transient flow acoustics

7th AIAA/CEAS Aeroacoustics Conference and Exhibit

Volumn , Issue , 2001, Pages

  Jeremy Astley, R ^a   Hamilton, James A ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EXACT SOLUTION; FREQUENCY DOMAINS; HIGH-ORDER; INFINITE ELEMENT; MULTIPOLES; TRANSIENT ELEMENTS; TRANSIENT FLOW; TRANSIENT RADIATION;

AEROACOUSTICS;

TRANSITION FLOW;

EID: 84896852556     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (26)

1. Bettess, P., Infinite Elements, Int. J. Numer. Meth. Eng., Vol. 11, 1977, pp. 53-64.
2. Zienkiewicz, O., Bando, K., Bettess, P., Emson, C, and Chiam, T., Mapped Infinite Elements for Exterior Wave Problems, Int. J. Numer. Meth. Eng., Vol. 21, 1985, pp. 1229-1252.
3. Astley, R., A Finite Element, Wave Envelope Formulation for Acoustical Radiation in Moving Flows, J. Sound Vib., Vol. 103, No. 4, 1985, pp. 471-485.
4. Astley, R., Macaulay, G., and Coyette, J.-P., Mapped Wave Envelope Elements for Acoustical Radiation and Scattering, J. Sound Vib., Vol. 170, 1994, pp. 97-118.
5. Burnett, D., A Three-Dimensional Acoustic Infinite Element Based on a Prolate Spheroidal Multipole Expansion, J. Acoust. Soc. Am., Vol. 96, 1994, pp. 2798-2816.
6. Cremers, L. and Fyfe, K., On the Use of a Variable Order Infinite Wave Envelope Element for Acoustic Radiation and Scattering, J. Acoust. Soc. Am., Vol. 97, 1995, pp. 2028-2040.
7. Astley, R., Mapped Spheroidal Elements for Unbounded Wave Problems, Int. J. Numer. Meth. Eng., Vol. 41, 1998, pp. 1235-1254.
8. Shirron, J. and Babuska, I., A Comparison of Approximate Boundary Conditions and Infinite Element Methods for Exterior Helmholtz Problems, Comput. Methods Appl. Mech. Eng., Vol. 164, 1998, pp. 121-139.
9. Gerdes, K., A Review of Infinite Element Methods for Exterior Helmholtz Problems, J. Comput. Acoust., Vol. 8, No. 1, 2000, pp. 43-62, The infinite element formulations are presented and compared from a rigorous mathematical viewpoint.
10. Astley, R., Infinite Elements for Wave Problems: A Review of Current Formulations and an Assessment of Accuracy, Int. J. Numer. Meth. Eng., 2000, pp. in publication.
11. Parrett, A. and Eversman, W., Wave Envelope and Finite Element Approximations for Turbofan Noise Radiation in Flight, AIAA Journal, Vol. 24, No. 5, 1986, pp. 753-760.
12. Eversman, W., Mapped infinite wave envelope elements for acoustic radiation in a uniformly moving medium, J. Sound Vib., Vol. 224, 1999, pp. 665-87.
13. Astley, R. and Coyette, J.-P., Conditioning of Infinite Element Schemes for Wave Problems, Comm. Numer. Meth. Eng., 2000, pp. in publication.
14. Eversman, W., Radiated Noise of Ducted Fans, Tech. rep., DGLR/AIAA 92-02-139, 14'th Aeroacoustics Conference, Aachen, Germany, 1992.
15. Eversman, W., Aft Fan Duct Acoustic Radiation, Tech. rep., CEAS/AIAA 95-155, 16'th Aeroacoustics Conference, Munich, Germany, 1995.
16. Astley, R., Coyette, J.-P., and Cremers, L., Three Dimensional Wave-Envelope Elements of Variable Order for Acoustic Radiation and Scattering. Part 2. Formulation in the Time Domain, J. Acoust. Soc. Am., Vol. 103, 1998, pp. 64-72.
17. Wilcox, C, A Generalisation of the Theorems of Rellich and Atkinson, Proc. Am. Math. Soc, Vol. 7, 1956, pp. 271-276.
18. Burnett, D. and Holford, R., Prolate and Oblate Spheroidal Acoustic Infinite Elements, Comput. Methods Appl. Mech. Eng., Vol. 158, 1998, pp. 117-141.
19. Burnett, D. and Holford, R., An Ellipsoidal Acoustic Infinite Element, Comput. Methods Appl. Mech. Eng., Vol. 164, 1998, pp. 49-76.
20. Bettess, P., Infinite Elements, Penshaw, Sunderland, UK, 1992.
21. Gerdes, K. and Demkowicz, L., Solution of 3D Laplace and Helmholtz Equations in Exterior Domains Using /ip-Infinite Elements, Comput. Methods Appl. Mech. Eng., Vol. 137, 1996, pp. 239-273.
22. Ihlenburg, F., On Fundamental Aspects of Exterior Approximations with Infinite Elements, J. Comput. Acoust., Vol. 8, No. 1, 2000, pp. 63-80.
23. Leis, R., Initial Boundary Value Problems in Mathematical Physics, Teubner, 1986.
24. Eversman, W., A Reflection Free Boundary Condition for Propagation in Uniform Flow Using Mapped Infinite Wave Envelope Elements, J. Comput. Acoust., Vol. 8, No. 1, 2000, pp. 25-41.
25. Deraemaeker, A., Babuska, I., and Bouillard, P., Dispersion and Pollution of the FEM Solution for the Helmholtz Equation in One, Two and Three Dimensions, Int. J. Numer. Meth. Eng., Vol. 46, 1999, pp. 471-499.
26. Oberai, A. and Pinsky, P., A Numerical Comparison of Finite Element Methods for the Helmholtz Equation, J. Comput. Acoust, Vol. 8, No. 1, 2000, pp. 211-221.