Shock-induced collapse of a cylindrical air cavity in water: A Free-Lagrange simulation

Shock Waves

Volumn 10, Issue 4, 2000, Pages 265-276

  Ball, G J ^a   Howell, B P ^a   Leighton, T G ^a   Schofield, M J ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Bubble collapse; Cavitation; Detonation initiation; Free Lagrange method; Jetting; Shock heating

Indexed keywords

EID: 0006516688     PISSN: 09381287     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001930000060     Document Type: Article

References (60)

1. American Institute Of Ultrasound In Medicine/National Electrical Manufacturers Association (1992) Standard for real-time display of thermal and mechanical indices on diagnostic ultrasound equipment. Publisher AIUM/NEMA
2. Apfel RE, Holland CK (1991) Gauging the likelihood of cavitation from short-pulse, low-duty cycle diagnostic ultrasound. Ultrasound Med Biol 17:179-185
3. Ball GJ (1996) A Free-Lagrange method for unsteady compressible flow: simulation of a confined cylindrical blast wave. Shock Waves 5:311-325
4. Ball GJ, East RA (1996) Refraction of a blast wave propagating parallel to a contact discontinuity: a Free-Lagrange numerical simulation. Proceedings of the 20th International Symposium on Shock Waves, pp 557-562
5. Ball GJ, East RA (1999) Shock and blast attenuation by aqueous foam barriers: influences of barrier geometry. Shock Waves 9:37-47
6. Benjamin TB, Ellis AT (1966) The collapse of cavitation bubbles and the pressures thereby produced against solid boundaries. Phil Trans R Soc Lond A 260:221-240
7. Blake JR, Taib BB, Doherty G (1986) Transient cavities near boundaries. Part 1. Rigid boundary. J Fluid Mech 170:479-497
8. Blake JR, Gibson DC (1987) Cavitation bubbles near boundaries. Ann Rev Fluid Mech 19:99-123
9. Bourne NK, Field JE (1991) Bubble collapse and the initiation of explosion. Proc Roy Soc Lond A 435:423-435
10. Bourne NK, Field JE (1992) Shock-induced collapse of single cavities in liquids. J Fluid Mech 244:225-240
11. Bowden FP, Yoffe AD (1952) Initiation and growth of explosion in liquids and solids. Reprinted by Cambridge University Press, 1985
12. Bowden FP, Yoffe AD (1958) Fast reaction in solids. London, Butterworths
13. Brunton JH, Camus J-J (1970) The application of high-speed photography to analysis of flow in cavitation and drop-impact studies. In: Proc Int Conf High-speed Photography. New York, SMPTE, pp. 444-449
14. Camus J-J (1971) High-speed flow in impact and its effect on solid surfaces. PhD thesis, University of Cambridge
15. Chaudhri MM, Field JE (1974) The role of rapidly compressed gas pockets in the initiation of condensed explosives. Proc Roy Soc Lond A 340:113-128
16. Chaudhri MM, Almgren A-A, Persson A (1982) High speed photography of the interaction of shocks with voids in condensed media. SPIE vol. 348, 15th Int Cong on High-speed Photography and Photonics, San Diego, pp 388-394
17. Chaudhri MM (1989) The initiation of fast decomposition in solid explosives by fracture, plastic flow, friction and collapsig voids. Proc Ninth Symposium (Intl) on Detonation, Portland, Oregon, pp 857-868
18. Church CC (1989) A theoretical study of cavitation generated by an extracorporeal shock wave lithotripter. J Acoust Soc Am 86:215-227
19. Coley GD, Field JE (1973) The role of cavities in the initiation and growth of explosion in liquids. Proc Roy Soc Lond A 335:67-86
20. Dear JP, Field JE (1988) A study of the collapse of arrays of cavities. J Fluid Mech 190:409-424
21. Dear JP, Field JE, Walton AJ (1988) Gas compression and jet formation in cavities collapsed by a shock wave. Nature 332:505-508
22. Ebeling KJ (1978) Zum Verhalten kugelfrmiger, lasererzeugter Kavitationsblasen in Wasser. Acustica 40:229-239
23. Field JE (1987) Liquid impact and cavitation erosion processes. In: Tribology in Particulate Technology. Adam Hilger, Bristol
24. Field JE, Swallowe GM, Heavens SN (1982) Ignition mechanisms of explosives during mechanical deformation. Proc Roy Soc Lond A 383:231-244.
25. Flores J, Holt M (1981) Glimm's method applied to underwater explosions. J Comp Phys 44:377-387
26. Frey RB (1985) Cavity collapse in energetic materials. Proc Eighth Symposium (Intl) on Detonation, pp 68-80
27. Haas J-F, Sturtevant B (1987) Interaction of weak shock waves with cylindrical and spherical inhomogeneities. J Fluid Mech 181:41-76
28. Heavens SN, Field JE (1974) The ignition of a thin layer of explosive by impact. Proc Roy Soc Lond A 338:77-93
29. Hinsch K, Brinkmeyer E (1976) Investigation of very short cavitation shock waves by coherent optical methods. High Speed Photography, SPIE 97:166-171
30. Holland CK, Apfel RE (1989) An improved theory for the prediction of microcavitation thresholds. IEEE Trans Ultrason Ferroelectr Freq Control 36:204-208
31. Howell BP, Ball GJ (2000) Damping of mesh-induced errors in Free-Lagrange simulations of Richtmyer-Meshkov instability. Shock Waves, in press
32. Iwai Y, Okada T (1989) A study of cavitation bubble collapse pressures and erosion. Part 2. Estimation of erosion from the distribution of bubble collapse pressures. Wear 169:535-564
33. Johansson CH (1958) The initiation of liquid explosives by shock and the importance of liquid break up. Proc Roy Soc Lond A 246:160-167
34. Jones IR, Edwards DH (1960) An experimental study on the forces generated by the collapse of transient cavities in water. J Fluid Mech 7:596-609
35. Kornfeld M, Suvorov L (1944) On the destructive action of cavitation. J Appl Phys 15:495-506
36. Lauterborn W, Bolle H (1975) Experimental investigations of cavitation-bubble collapse in the neighbourhood of a solid boundary. J Fluid Mech 72:391-399
37. Lesser M, Finnström M (1987) On the mechanics of a gas-filled collapsing cavity in a liquid. Proc 7th Int Conf on Erosion by Liquid and Solid Impact. Cambridge, UK, paper 23
38. Lush PA, Sanada N, Tahayama K (1987) Proc 7th Int Conf on Erosion by Liquid and Solid Impact. Cambridge, UK, paper 24
39. Mader CL, Taylor RW, Venable D, Travis JR (1967) Theoretical and experimental two-dimensional interactions of shocks with density discontinuities. Los Alamos National Laboratory Report LA-3614
40. Mader CL, Kershner JD (1985) The three-dimensional hydrodynamic hot-spot model. In: Proc Eighth Symposium (Int) on Detonation, pp 42-52
41. Mader CL, Kershner JD (1989) The heterogeneous explosive reaction zone. In: Proc Ninth Symposium (Int) on Detonation, pp 693-700
42. Naudé CF, Ellis AT (1961) On the mechanism of cavitation damage by nonhemispherical cavities collapsing in contact with a solid boundary. Trans ASME D, J Basic Engng 83:648-656
43. Okada T, Iwai Y (1989) A study of cavitation bubble collapse pressures and erosion. Part 1. A method for measurement of collapse pressures. Wear 133:219-232.
44. Philipp A, Lauterborn W (1998) Cavitation erosion by single laser-produced bubbles. J Fluid Mech 361:75-116
45. Preece CM (ed) (1979) Treatise on Materials Science and Technology. In: Erosion vol 16. New York, Academic
46. Preece CM, Hansson I (1981) Adv in Mech and Phys of Surfaces. Harwood Acad Pub 1:199-254
47. Quirk JJ, Karni S (1994) On the dynamics of a shock-bubble interaction. ICASE Report No. 94-75
48. Radek U (1972) Kavitationserzeugte Druckpulse und Materialzerstrung. Acustica 26:270-283
49. Starkenberg J (1981) Ignition of solid high eplosive by the rapid compression of an adjacent gas layer. Proc 7th Symposium (Intl) on Detonation, pp 3-16
50. Steinberg D (1993) A brief review on cavitation bubble collapse near a rigid boundary. J Stone Dis 5:49-59
51. Takayama K (1999) Application of Shock Wave Research to Medicine. Proceedings of the 22nd International Symposium on Shock Waves, pp 23-32
52. Tomita Y, Shima A (1986) Mechanisms of impulsive pressure generation and damage pit formation by bubble collapse. J Fluid Mech 169:535-564
53. Toro EF, Spruce M, Speares W (1994) Restoration of the contact surface in the HLL Riemann solver. Shock Waves 4:25-34
54. Toro EF (1997) Riemann solvers and numerical methods for fluid dynamics: a practical introduction. Springer, Berlin Heidelberg New York
55. Van Leer B (1979) Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method. J Comp Phys 32:101-136
56. Vogel A, Lauterborn W, Timm R (1989) Optical and acoustic investigations of the dynamics of laser-produced cavitation bubbles near a solid boundary. J Fluid Mech 206:299-338
57. Walters JK, Davidson JF (1962) The initial motion of a gas bubble formed in an inviscid liquid. Part 1. The two-dimensional bubble. J Fluid Mech 12:408-416
58. Walters JK, Davidson JF (1963) The initial motion of a gas bubble formed in an inviscid liquid. Part 2. The three-dimensional bubble and the toroidal bubble. J Fluid Mech 17:321-336
59. Winter RE, Field JE (1975) The role of localised plastic flow in the impact initiation of explosives. Proc Roy Soc Lond A 343:399-413
60. Zequiri B, Hodnett M, Leighton TG (1997) A strategy for the development and standardisation of measurement methods for high power/cavitating ultrasonic fields - Final project report. NPL Report CIRA(EXT)016