A Godunov-type finite-volume scheme for unified solid-liquid elastodynamics on arbitrary two-dimensional grids

Shock Waves

Volumn 13, Issue 3, 2003, Pages 221-230

  Voinovich, P ^a   Merlen, A ^b   Timofeev, E ^a,c   Takayama, K ^c  

^a IOFFE INSTITUTE   (Russian Federation)

^b UNIV LILLE   (France)

^c TOHOKU UNIVERSITY   (Japan)

Author keywords

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

Indexed keywords

EID: 0242468547     PISSN: 09381287     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00193-003-0211-4     Document Type: Article

References (23)

1. Ben Khelil S, Merlen A, Preobrazhenski V, Pernod Ph (2001) Numerical simulation of acoustic waves phase conjugation in active media. J. Acoust. Soc. of America 109(1):75-83
2. Brekhovskikh L, Goncharov V (1985) Mechanics of continua and wave dynamics. Springer
3. Fursenko AA, Sharov DM, Timofeev EV, Voinovich PA (1993) High-resolution schemes and unstructured grids in transient shocked flow simulation. Lecture Notes in Physics 414:250-254
4. Galyukov A, Voinovich P (1997) 2-D triangular unstructured grid generator for multiple sub-domains. Soft-Impact Ltd., St.Petersburg, Russia (unpublished)
5. Hirsch C (1990) Numerical computation of internal and external flows. Volume 2: Computational methods for inviscid and viscous flows. Wiley-Interscience
6. Lin X, Ballmann J (1993a) A Riemann solver and a second order Godunov method for elastic-plastic waves propagation in solids. Int. J. Impact Eng. 13(3):463-478
7. Lin X, Ballmann J (1993b) Numerical method for elasticplastic waves in cracked solids. Archive of Applied Mechanics 63:261-282 and 283-295
8. Lin X, Ballmann J (1993c) Reconsideration of Chen's problem by finite difference method. Engineering Fracture and Mechanics 44(5):735-739
9. Ling X, Cherukuri HP (2002) Stability analysis of an explicit finite element scheme for plane wave motions in elastic solids. J. Comput. Mech. 29:430-440
10. Löhner R (1987) The efficient simulation of strongly unsteady flows by by the finite-element method. AIAA Paper 87-0555
11. Mdivnishvili MO, Sokolov IV, Taktakishvili MI, Voinovich PA (1999) Super-spherical cumulation: shock collapse which is more intense than the spherical one. Shock Waves 9(3):149-158
12. Rodionov AV (1987) Increasing of approximation order of the Godunov scheme. Zh. Vychisl. Mat. Mat. Fiz. (J. Comput. Math. Math Phys.) 27(12):1853-1860 (in Russian) Translation: Rodionov AV (1987) Increasing of approximation order of the Godunov scheme. USSR Comp. Math. Math. Phys. 27(6): 164-169
13. Rodionov AV (1987) Increasing of approximation order of the Godunov scheme. Zh. Vychisl. Mat. Mat. Fiz. (J. Comput. Math. Math Phys.) 27(12):1853-1860 (in Russian) Translation: Rodionov AV (1987) Increasing of approximation order of the Godunov scheme. USSR Comp. Math. Math. Phys. 27(6): 164-169
14. 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. Edited review. Kluwer Academic/Plenum Publishers, New York, pp. 763-784
15. 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
16. Takano Y, Hayashi K, Goto T (1997a) 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, vol. 2, pp. 1039-1044
17. Takano Y, Hayashi K, Goto T (1997b) Simulations for stress waves induced in solid material by reflection of strong shock waves. In: Proceedings of JSME Centennial Grand Congress, International Conference of Fluid Engineering, Tokyo, Japan, July 13-16, 1997, pp. 413-416
18. Takano Y, Mizushiri Y, Goto T (1999) Stress waves induced in an acrylic block by shock waves. In: Ball GJ, Hillier R, Roberts GT (eds) "Shock Waves", Proc. of the 22th Int. Symp. on Shock Waves (London, UK, 18-23 July, 1999). University of Southampton, 1999, vol.2, pp. 1399-1404
19. Toro EF (1999) Riemann solvers and numerical methods for fluid dynamics. 2nd ed., Springer
20. Totsuka Y (2001) Report from cause committee. Photographs of the damage. Appeal from the director. http://www-sk.icrr.u-tokyo.ac.jp/doc/sk/
21. Voinovich P (1993) 2-D locally adaptive unstructured Euler code. Advanced Technology Center, St.Petersburg, Russia (unpublished)
22. Voinovich P, Merlen A, Timofeev E, Takayama K (2001) Numerical simulation of wave scattering at shock-loaded metallic plates and shells in water. In: Lu F (ed) CD-ROM Proc. of the 23th Intl. Symp. on Shock Waves, Fort Worth, USA, 22-27 July, 2001. University of Texas at Arlington, 7p.
23. Voinovich P, Merlen A (2003) Two-dimensional unstructured elastic model for acoustic pulse scattering at solid-liquid interfaces. Shock Waves 12(3):421-429