Special short wave elements for flow acoustics

Computer Methods in Applied Mechanics and Engineering

Volumn 194, Issue 2-5 SPEC. ISS., 2005, Pages 341-353

  Astley, R J ^a   Gamallo, P ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Flow acoustics; Partition of Unity Method; Short wave problems

Indexed keywords

AIRCRAFT ENGINES; DUCTS; FREQUENCIES; MATHEMATICAL MODELS; NUMERICAL METHODS;

PARTITION OF UNITY METHOD (PUM); PLANE WAVE SOLUTIONS;

ACOUSTIC WAVE PROPAGATION;

ACOUSTICS; MATHEMATICAL METHOD;

EID: 10444222624     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.01.042     Document Type: Article

References (11)

1. W. Eversman Mapped infinite wave envelope elements for acoustic radiation in a uniformly moving medium J. Sound Vib. 27 1994 69-84
2. C.K.W. Tam J.C. Webb Dispersion preserving finite difference schemes for computational acoustics J. Comput. Phys. 107 1993 262-281
3. C. Farhat I. Harari L.P. Franca The discontinuous enrichment method Comput. Methods Appl. Mech. Engrg. 190 2001 6455-6479
4. O. Laghrouche P. Bettess R.J. Astley Modelling of short wave diffraction problems using approximating systems of plane waves Int. J. Numer. Method Engrg. 54 2002 1501-1533
5. J.M. Melenk I. Babuška The partition of unity finite element method: Basic theory and applications Comput. Methods Appl. Mech. Engrg. 139 1996 289-314
6. S.W. Rienstra, The Webster equation revisited, in: AIAA 2002-2520 of the 8th AIAA/CEAS Aeroacoustics Conference in Breckenridge, Colorado, USA, 17-19 June 2002
7. O. Laghrouche P. Bettess E. Perrey-Debain J. Trevelyan Plane wave basis finite-elements for wave scattering in three dimensions Commun. Numer. Meth. Engrg. 19 2003 715-723
8. T. Strouboulis I. Babuška K. Copps The design and analysis of the generalized finite element method Comput. Meth. Appl. Mech. Engrg. 181 2000 43-69
9. P. Bettess J. Shirron O. Laghrouche B. Peseux R. Sugimoto J.A. Trevelyan A numerical integration scheme for special finite elements for the Helmholtz equation Int J. Numer. Meth. Engrg. 56 2003 531-552
10. P. Ortiz E. Sanchez An improved partition of unity finite element model for diffraction problems Int. J. Numer. Meth. Engrg. 50 2001 2727-2740
11. L. Demkowicz Asymptotic convergence in finite and boundary element methods. Part 1: Theoretical results Comput. Math. Appl. 224 1999 665-687