An iterative time-domain algorithm for acoustic-elastodynamic coupled analysis considering meshless local Petrov-Galerkin formulations

CMES - Computer Modeling in Engineering and Sciences

Volumn 54, Issue 2, 2009, Pages 201-221

  Soares Jr , Delfim ^a  

^a FEDERAL UNIVERSITY OF JUIZ DE FORA   (Brazil)

Author keywords

Acoustic fluids; Elastodynamic solids; Iterative coupling; Meshless local Petrov Galerkin; Moving least squares; Time domain analysis

Indexed keywords

ACOUSTIC FIELDS; GALERKIN METHODS; ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

ITERATIVE COUPLING; MESHLESS LOCAL PETROV-GALERKIN; MESHLESS LOCAL PETROV-GALERKIN FORMULATIONS; MOVING LEAST SQUARE METHODS; MOVING LEAST SQUARES; NUMERICAL APPLICATIONS; PETROV-GALERKIN APPROACH; SPATIAL DISCRETIZATIONS;

TIME DOMAIN ANALYSIS;

EID: 77949871992     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (34)

1. Ahrem, R.; Beckert, A.; Wendland, H. (2006): A meshless spatial coupling scheme for large-scale fluid-structure-interaction problems, CMES: Computer Modeling in Engineering & Sciences vol.12, pp. 121-136.
2. Atluri, S.N. (2004): The Meshless Method (MLPG) for Domain & BIE Discretizations, Tech Science Press, Encino, CA.
3. Atluri, S.N.; Shen, S. (2002a): The Meshless Local Petrov-Galerkin (MLPG) Method, Tech Science Press, Encino, CA.
4. Atluri, S.N.; Shen, S.P. (2002b): The meshless local Petrov-Galerkin (MLPG) method: A simple & less-costly alternative to the finite element and boundary element methods, CMES: Computer Modeling in Engineering and Sciences vol.3, pp. 11-51.
5. Atluri, S.N.; Zhu, T. (1998): A New Meshless Local Petrov-Galerkin (MLPG) Approach in Computational Mechanics, Computational Mechanics vol.22, pp. 117-127.
6. Beckert, A.; Wendland, H. (2001): Multivariate interpolation for fluid-structureinteraction problems using radial basis functions, Aerospace Science and Technology vol.5, pp. 125-134.
7. Belytschko, T.; Geers, T.L. (eds.) (1977): Computational methods for fluidstructure interaction problems, AMD vol. 26, American Society of Mechanical Engineers, New York.
8. Czygan, O.; von Estorff, O. (2002): Fluid-structure interaction by coupling BEM and nonlinear FEM, Engineering Analysis with Boundary Elements vol.26, pp. 773-779.
9. Farhat, C.; Lesoinne, M.; LeTallec, P. (1998): Load and motion transfer algortihms for fluid/structure interaction problems with non-matching discrete interfaces: momentum and energy conservation, optimal discretization and application to aeroelasticity, Computer Methods in Applied Mechanics and Engineering vol.157, pp. 95-114.
10. Han, Z.D.; Liu, H.T.; Rajendran, A.M.; Atluri, S.N. (2006): The Applications of Meshless Local Petrov-Galerkin (MLPG) Approaches in High-Speed Impact, Penetration and Perforation Problems, CMES: Computer Modeling in Engineering & Sciences vol.14, pp. 119-128.
11. Han, Z.D.; Rajendran, A.M.; Atluri, S.N. (2005): Meshless Local Petrov-Galerkin (MLPG) Approaches for Solving Nonlinear Problems with Large Deformations and Rotations, CMES: Computer Modeling in Engineering & Sciences vol.10, pp. 1-12.
12. Houbolt, J.C. (1950): A recurrence matrix solution for the dynamic response of elastic aircraft, Journal of the Aeronautical Sciences vol.17, pp. 540-550.
13. Lie, S.T.; Yu, G.Y.; Zhao, Z. (2001): Coupling of BEM/FEM for time domain structural-acoustic interaction problems, CMES: Computer Modeling in Engineering & Sciences vol.2, pp. 171-180.
14. Lombard, B.; Piraux, J. (2004): Numerical treatment of two-dimensional interfaces for acoustic and elastic waves, Journal of Computational Physics vol.195, pp. 90-116.
15. Long, S.Y.; Liu, K.Y.; Li, G.Y. (2008): An Analysis for the Elasto-Plastic Fracture Problem by the Meshless Local Petrov-Galerkin Method, CMES: Computer Modeling in Engineering & Sciences vol.28, pp. 203-216.
16. Ma, Q.W. (2005): MLPG Method Based on Rankine Source Solution for Simulating Nonlinear Water Waves, CMES: Computer Modeling in Engineering & Sciences vol.9, pp. 193-210.
17. Maman, N.; Farhat, C. (1995): Matching fluid and structure meshes for aeroelastic computations: a parallel approach, Computer & Structures vol.54, pp. 779-785.
18. Mathews, I.C. (1986): Numerical techniques for three-dimensional steady-state fluid-structure interaction, Journal of the Acoustical Society of America vol.79, pp. 1317-1325.
19. Miles, J.W. (1961): Modern Mathematics for the Engineer (Beckenbach, E.F., ed.), MacGraw-Hill, London.
20. Mohammadi, M.H. (2008): Stabilized Meshless Local Petrov-Galerkin (MLPG) Method for Incompressible Viscous Fluid Flows, CMES: Computer Modeling in Engineering & Sciences vol.29, pp. 75-94.
21. Park, K.C., Felippa, C.A., Ohayon, R. (2001): Partioned formulation of internal fluid-structure interaction problems via localized Lagrange multipliers, Computer Methods in Applied Mechanics and Engineering vol.190, pp. 2989-3007.
22. Rendall, T.C.S.; Allen, C.B. (2008): Unified fluid-structure interpolation and mesh motion using radial basis function, International Journal for Numerical Methods in Engineering vol.74, pp. 1519-1559.
23. Rendall, T.C.S., Allen, C.B. (2009): Improved radial basis function fluid-structure coupling via efficient localized implementation, International Journal for Numerical Methods in Engineering vol.78, pp. 1188-1208.
24. Soares, D. (2008): Numerical modelling of acoustic-elastodynamic coupled problems by stabilized boundary element techniques, Computational Mechanics vol.42, pp. 787-802.
25. Soares, D. (2009): Fluid-structure interaction analysis by optimised boundary element - finite element coupling procedures, Journal of Sound and Vibration vol.322, pp. 184-195.
26. Soares, D.; Mansur, W.J. (2005): An efficient time-domain BEM/FEM coupling for acoustic-elastodynamic interaction problems, CMES: Computer Modeling in Engineering & Sciences vol.8, pp. 153-164.
27. Soares, D.; Mansur, W.J. (2006): Dynamic analysis of fluid-soil-structure interaction problems by the boundary element method, Journal of Computational Physics vol.219, pp. 498-512.
28. Soares, D.; Mansur, W.J.; Lima, D.L. (2007): An explicit multi-level time-step algorithm to model the propagation of interacting acoustic-elastic waves using finite element / finite difference coupled procedures, CMES: Computer Modeling in Engineering & Sciences vol.17, pp. 19-34.
29. Soares, D.; Rodrigues, G.G.; Gonçalves, K.A. (2010a): An efficient multi-timestep implicit-explicit method to analyze solid-fluid coupled systems discretized by unconditionally stable time-domain finite element procedures, Computers & Structures vol.88, pp. 387-394.
30. Soares, D.; Sladek, J.; Sladek, V. (2009): Dynamic analysis by meshless local Petrov-Galerkin formulations considering a time-marching scheme based on implicit Green's functions, CMES: Computer Modeling in Engineering & Sciences vol.50, pp. 115-140.
31. Soares, D.; Sladek, J.; Sladek, V. (2010b): Nonlinear dynamic analyses by meshless local Petrov-Galerkin formulations, International Journal for Numerical Meth ods in Engineering vol.81, pp. 1687-1699.
32. Soares, D.; von Estorff, O.; Mansur, W.J. (2005): Efficient nonlinear solid-fluid interaction analysis by an iterative BEM/FEM coupling, International Journal for Numerical Methods in Engineering vol.64, pp. 1416-1431.
33. von Estorff, O.; Antes, H. (1991): On FEM-BEM coupling for fluid-structure interaction analysis in the time domain, International Journal for Numerical Methods in Engineering vol.31, pp. 1151-1168.
34. Warszawski, A.; Soares, D.; Mansur, W.J. (2008): A FEM-BEM coupling procedure to model the propagation of interacting acoustic-acoustic / acoustic-elastic waves through axisymmetric media, Computer Methods in Applied Mechanics and Engineering vol.197, pp. 45-48.