Two-dimensional unstructured elastic model for acoustic pulse scattering at solid-liquid interfaces

Shock Waves

Volumn 12, Issue 5, 2003, Pages 421-429

  Voinovich, P ^a,b   Merlen, A ^a  

^a CNRS   (France)

^b IOFFE INSTITUTE   (Russian Federation)

Author keywords

2 D elastic solver; Acoustic pulse scattering; Solid liquid interface; Unstructured grid

Indexed keywords

EID: 0037352098     PISSN: 09381287     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00193-003-0175-4     Document Type: Article

References (25)

1. 0) wave. J. Acoust. Soc. Am. Vol. 104(5):2727-2732
2. Barth TJ (1992) Aspects of unstructured grids and finite-volume solvers for the Euler and Navier-Stokes equations. In: Special Course on Unstructured Grid Methods for Advection Dominated Flows. AGARD Report N92-27677, pp 18-34
3. Ben Khelil S, Merlen A, Preobrazhenski V, Pernod P (2001) Numerical simulation of acoustic wave phase conjugation in active media. J. Acoust. Soc. Am. 109(1):75-83
4. Bluck MJ, Walker SP (1996) Analysis of three-dimensional transient acoustic wave propagation using the boundary integral equation method. Int. J. Num. Meth. Eng. 39:1419-1431
5. Brekhovskikh LM (1960) Waves in Layered Media. Academic Press
6. Brekhovskikh L, Goncharov V (1985) Mechanics of Continua and Wave Dynamics. Springer
7. Burton AJ, Miller GF (1971) The application of integral equation methods to the numerical solution of some exterior boundary value problems. Proc. R. Soc. A 323:201-210
8. Friedman MB, Shaw RP (1962) Diffraction of pulses by cylindrical obstacles of arbitrary cross section. J. Appl. Mech. 29:40-46
9. Galyukov A, Voinovich P (1997) 2-D triangular unstructured grid generator for multiple sub-domains. Soft-Impact Ltd., St. Petersburg, Russia (unpublished)
10. Grote M (2000) Nonreflecting boundary conditions for elastodynamic scattering. J. Comput. Phys. 161:331-353
11. Herman GC, Van den Berg (1982) A least square iterative technique for solving time-domain. J. Acoust. Soc. Am. 72:1947-1953
12. Jones DS (1974) Integral equation for the exterior acoustic problem. Q. J. Mech. Appl. Math. XXVII:129-142
13. Landau LD, Lifshitz EM (1970) Theory of Elasticity. Pergamon Press
14. Lin X, Ballmann J (1993) A Riemann solver and a second order Godunov method for elastic-plastic waves propagation in solids. Int. J Impact Eng. 13(3):463-478
15. Neilson HC, Lu YP, Wang YF (1978) Transient scattering by arbitrary axisymmetric surfaces. J. Acoust. Soc. Am. 63:1719-1727
16. Saito T, Voinovich P, Timofeev E, Takayama K (2001) Development and application of high-resolution adaptive numerical techniques in Shock Wave Research Center. In: Toro EF (ed) Godunov methods: Theory and Applications, Kluwer Academic/Plenum Publishers, New York, pp 763-784
17. Schenck HA (1968) Improved integral formulation for acoustic radiation problems. J. Acoust. Soc. Am. 44:41-58
18. Shaw RP (1975) Transient scattering by a circular cylinder. J. Sound Vibr. 42:295-304
19. Sokolov IV, Timofeev EV, Sakai J, Takayama K (2002) Artificial wind - A new framework to construct simple and efficient upwind shock-capturing schemes. J. Comput. Phys. 181:354-393
20. Takano Y, Hayashi K, Goto T (1997) A computational procedure for interaction of shock waves with solid materials in liquid. In: Houwing AFP (ed) Proceedings of 21st International Symposium on Shock Waves, Great Keppel Island, Australia, July 20-25, 1997. Panther Publishing, pp 1039-1044
21. Thompson LL (1996) A space-time finite element method for exterior acoustics problem. J. Acoust Soc. Am. 99:3297-3311
22. Wang S (1996) Finite difference time-domain approach to underwater acoustic scattering problems. J. Acoust. Soc. Am. 99:1924-1931
23. Watson DF (1981) Computing the n-dimensional Delaunay tessellation with application to Voronoi polytopes. The Computer Journal 24(2):167-172
24. Whitham GB (1974) Linear and Nonlinear Waves. Wiley
25. Wu SF, Wang Z (1995) A fast Fourier transform algorithm for the Kirchhoff integral formulation. J. Acoust. Soc. Am. 97:108-115