Numerical modelling of acoustic-elastodynamic coupled problems by stabilized boundary element techniques

Computational Mechanics

Volumn 42, Issue 6, 2008, Pages 787-802

  Soares Jr , D ^a  

^a FEDERAL UNIVERSITY OF JUIZ DE FORA   (Brazil)

Author keywords

Acoustics; Elastodynamics; Fluid solid interaction; Iterative BEM BEM coupling; Stabilized formulations; Time domain BEM

Indexed keywords

ACOUSTICS; BOUNDARY ELEMENT METHOD; FLOW INTERACTIONS; ITERATIVE METHODS;

BOUNDARY ELEMENT TECHNIQUES; ELASTO-DYNAMICS; FLUID SOLID INTERACTION; ITERATIVE COUPLING; NUMERICAL RESULTS; STABILIZED FORMULATION; STABLE ALGORITHMS; TIME-DOMAIN BEM;

TIME DOMAIN ANALYSIS;

EID: 48349137902     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-008-0282-2     Document Type: Article

References (58)

1. Lombard B, Piraux J (2004) Numerical treatment of two-dimensional interfaces for acoustic and elastic waves. J Comput Phys 195: 90-116
2. Collino F, Joly P, Millot F (1997) Fictitious domain method for unsteady problems: application to electromagnetic scattering. J Comput Phys 138: 907-938
3. Zhang C, LeVeque RJ (1997) The immersed interface method for acoustic wave equations with discontinuous coefficients. Wave Motion 25: 237-263
4. Lombard B (2002) Modélisation Numérique de la Propagation des Ondes Acoustiques et Elastiques en Présence d'Interfaces. Ph.D. Thesis, University of Aix-Marseille II, France
5. Daniel WJT (1997) Analysis and implementation of a new constant acceleration subcycling algorithm. Int J Numer Methods Eng 40: 2841-2855
6. Smolinski P (1996) Subcycling integration with non-integer time steps for structural dynamics problems. Comput Struct 59: 273-281
7. Belytschko T, Lu YY (1993) Explicit multi-time step integration for first and second order finite element semi-discretization. Comput Methods Appl Mech Eng 108: 353-383
8. Soares D Jr, Mansur WJ, Lima DL (2007) An explicit multi-level time-step algorithm to model the propagation of interacting acoustic-elastic waves using finite element/finite difference coupled procedures. Comput Model Eng Sci 17: 19-34
9. Mansur WJ (1983) A time-stepping technique to solve wave propagation problems using the boundary element method. Ph.D. Thesis, University of Southampton, England
10. Birgisson B, Siebrits E, Peirce AP (1999) Elastodynamic direct boundary element methods with enhanced numerical stability properties. Int J Numer Methods Eng 46: 871-888
11. Frangi A, Novati G (1999) On the numerical stability of time-domain elastodynamic analyses by BEM. Comput Methods Appl Mech Eng 173: 403-417
12. Frangi A (2000) Causal shape functions in time domain boundary element method. Comput Mech 25: 533-541
13. Carrer JAM, Mansur WJ (2000) Time discontinuous linear traction approximation in time-domain BEM: 2D elastodynamics. Int J Numer Methods Eng 49: 833-848
14. Mansur WJ, Carrer JAM, Siqueira EFN (1998) Time discontinuous linear traction approximation in time-domain BEM scalar wave propagation analysis. Int J Numer Methods Eng 42: 667-683
15. Yu G, Mansur WJ, Carrer JAM, Gong L (1998) Time weighting in time domain BEM. Eng Anal Bound Elem 22: 175-181
16. Araujo FC, Mansur WJ, Nishikava LK (1999) A linear θ time-marching algorithm in 3D BEM formulation for elastodynamics. Eng Anal Bound Elem 23: 825-833
17. Yu G, Mansur WJ, Carrer JAM, Gong L (1998) A linear θ method applied to 2D time-domain BEM. Commun Numer Methods Eng 14: 1171-1179
18. Yu G, Mansur WJ, Carrer JAM (1999) The linear θ method for 2D elastodynamic BE analysis. Comput Mech 24: 82-89
19. Yu G, Mansur WJ, Carrer JAM, Gong L (2000) Stability of Galerkin and collocation time domain boundary element methods as applied to the scalar wave equation. Comput Struct 74: 495-506
20. Rizos DC, Karabalis DL (1994) Advanced direct time domain BEM formulation for general 3D elastodynamic problems. Comput Mech 15: 249-269
21. Siebrits E, Peirce AP (1997) Implementation and application of elastodynamic boundary element discretization with improved stability properties. Eng Comput 14: 669-695
22. Carrer JAM, Mansur WJ (2002) Time-dependent fundamental solution generated by a not impulsive source in the boundary element method analysis of the 2D scalar wave equation. Commun Numer Methods Eng 18: 277-285
23. Soares D Jr, Mansur WJ (2007) An efficient stabilized boundary element formulation for 2D time-domain acoustics and elastodynamics. Comput Mech 40: 355-365
24. Demirel V, Wang S (1987) An efficient boundary element method for two-dimensional transient wave propagation problems. Appl Math Model 11: 411-416
25. Mansur WJ, de Lima Silva W (1992) Efficient time truncation in two-dimensional BEM analysis of transient wave propagation problems. Earthquake Eng Struct Dyn 21: 51-63
26. Soares D Jr, Mansur WJ (2004) Compression of time generated matrices in two-dimensional time-domain elastodynamic BEM analysis. Int J Numer Methods Eng 61: 1209-1218
27. Carrer JAM, Mansur WJ (2006) Solution of the two-dimensional scalar wave equation by the time-domain boundary element method: lagrange truncation strategy in time integration. Struct Eng Mech 23: 263-278
28. Tröndle G, Antes H (2001) Efficient numerical techniques in time and frequency domain, chap 6. In: von Estorff O(eds) Boundary elements in acoustics, advances & applications. WIT Press, Southampton
29. Tham LG, Chu CK (2000) Some experiences on programming of time domain boundary element in parallel processing environment. J Sound Vib 233: 1-17
30. Brebbia CA (1978) The boundary element method for engineers. Pentech Press, London
31. Zienkiewicz OC, Kelly DM, Bettess P (1977) The coupling of the finite element method and boundary solution procedures. Int J Numer Methods Eng 11: 355-376
32. Brebbia CA, Georgiou P (1979) Combination of boundary and finite elements in elastostatics. Appl Math Model 3: 212-220
33. Karabalis DL, Beskos DE (1985) Dynamic response of 3D flexible foundations by time domain BEM and FEM. Solid Dyn Earthquake Eng 4: 91-101
34. von Estorff O, Prabucki MJ (1990) Dynamic response in time domain by coupled boundary and finite elements. Comput Mech 6: 35-46
35. von Estorff O, Antes H (1991) On FEM-BEM coupling for fluid-structure interaction analysis in the time domain. Int J Numer Methods Eng 31: 1151-1168
36. von Estorff O (1992) Coupling of BEM and FEM in the time domain: some remarks on its applicability and efficiency. Comput Struct 44: 325-337
37. Belytschko T, Lu YY (1994) A variational coupled FE-BE method for transient problems. Int J Numer Methods Eng 37: 91-105
38. von Estorff O, Firuziaan M (2000) Coupled BEM/FEM approach for nonlinear soil/structure interaction. Eng Anal Bound Elem 24: 715-725
39. Czygan O, von Estorff O (2002) Fluid-structure interaction by coupling BEM and nonlinear FEM. Eng Anal Bound Elem 26: 773-779
40. Yu G, Mansur WJ, Carrer JAM, Lie ST (2001) A more stable scheme for BEM/FEM coupling applied to two-dimensional elastodynamics. Comput Struct 79: 811-823
41. Yu GY, Lie ST, Fan SC (2002) Stable boundary element method/finite element method procedure for dynamic fluid structure interactions. J Eng Mech 128: 909-915
42. Soares D Jr (2004) Dynamic analysis of non-linear soil-fluid-structure coupled systems by the finite element method and the boundary element method (in Portuguese). Ph.D. Thesis, Federal University of Rio de Janeiro, Brazil
43. Elleithy WM, Al-Gahtani HJ (2000) An overlapping domain decomposition approach for coupling the finite and boundary element methods. Eng Anal Bound Elem 24: 391-398
44. Elleithy WM, Al-Gahtani HJ, El-Gebeily M (2001) Iterative coupling of BE and FE methods in elastostatics. Eng Anal Bound Elem 25: 685-695
45. Soares D Jr, von Estorff O (2004) Combination of FEM and BEM by an iterative coupling procedure. In: 4th European congress on computational methods in applied sciences and engineering, ECCOMAS 2004, Jyväskylä, Finland
46. Soares D Jr, von Estorff O, Mansur WJ (2004) Iterative coupling of BEM and FEM for nonlinear dynamic analyses. Comput Mech 34: 67-73
47. Soares D Jr, von Estorff O, Mansur WJ (2005) Efficient nonlinear solid-fluid interaction analysis by an iterative BEM/FEM coupling. Int J Numer Methods Eng 64: 1416-1431
48. von Estorff O, Hagen C (2005) Iterative coupling of FEM and BEM in 3D transient elastodynamic. Eng Anal Bound Elem 29: 775-787
49. Carrer JAM, Telles JCF (1992) A boundary element formulation to solve transient dynamic elastoplastic problems. Comput Struct 13: 707-713
50. Soares D Jr, Carrer JAM, Mansur WJ (2005) Non-linear elastodynamic analysis by the BEM: an approach based on the iterative coupling of the D-BEM and TD-BEM formulations. Eng Anal Bound Elem 29: 761-774
51. Soares D Jr, Mansur WJ (2006) Dynamic analysis of fluid-solid-structure interaction problems by the boundary element method. J Comput Phys 219: 498-512
52. Soares D Jr, Mansur WJ (2007) Iterative coupling of different boundary element formulations: applications concerning time-domain nonlinear analysis of fluid-soil-structure coupled systems. In: XXVIII Iberian Latin American congress on computational methods in engineering, CILAMCE 2007, Porto, Portugal
53. Hadamard J (1952) Lectures on Cauchy's problem in linear partial differential equations. Dover Publications, New York
54. Dominguez J (1992) Boundary elements in dynamics. Computational Mechanics Publications, Southampton
55. Carrer JAM, Mansur WJ (1993) Two-dimensional transient BEM analysis for the scalar wave equation: kernels. Eng Anal Bound Elem 12: 283-288
56. Soares D Jr, Carrer JAM, Telles JCF, Mansur WJ (2002) Numerical computation of internal stress and velocity in time-domain BEM formulation for elastodynamics. Comput Mech 30: 38-47
57. Newmark NM (1959) A method of computation for structural dynamics. ASCE J Eng Mech Div 85: 67-94
58. Czygan O (2002) Fluid/Struktur-Kopplung bei ebenen und rotationssymmetrischen Systemen unter Berücksichtigung nichtlinearen Strukturverhaltens. Ph.D. Thesis, TU Hamburg-Harburg, Germany