Vorticity generation by shock propagation through bubbles in a gas

Journal of Fluid Mechanics

Volumn 189, Issue , 1988, Pages 23-51

  Picone, J M ^a   Boris, J P ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0023815738     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112088000904     Document Type: Article

References (39)

1. Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
2. Book, D. L., Boris, J. P., Kuhl, A. L., Oran, E. S., Picone, J. M. & Zalesak, S. T. 1981 Simulaion of complex shock reflections from wedges in inert and reactive gas mixtures. In Proc. Seventh Int Conf. on Numerical Methods in Fluid Dynamics, pp. 84–90.
3. Boris, J. P. 1976 Flux-corrected modules for solving generalized continuity equations. Naval Research Laboratory Memo. Rep. 3237.
4. Boris, J. P. & Book, D. L. 1976 Solution of continuity equations by the method of flux-corrected transport. Methods in Computational Physics, vol. 16, pp. 85–129. Academic.
5. Chern, I.-L., Glimm, J., Mcbryan, O., Plohr, B. & Yaniv, S 1986 Front tracking for gas dynamics. J. Comp. Phys. 62, 83–110.
6. Colella, P. & Woodward, P. R. 1984 The piecewise parabolic method (PPM) for gas-dynamical simulations. J. Comp. Phys. 54, 174–201.
7. Didden, N. 1979 On the formation of vortex rings rolling-up and production of circulation. Z. Angew. Math. Phys. 30, 101–116.
8. Emery, M. H., Gardner, J. H., Boris, J. P. & Cooper, A. L. 1984 Vortex shedding due to laser ablation. Phys. Fluids 27, 1338–1340.
9. Fritts, M. J. & Boris, J. P. 1979 The Lagrangian solution of transient problems in hydrodynamics using a triagular mesh. J. Comp. Phys. 31, 173–215.
10. Fyfe, D. E., Gardner, J. H., Picone, J. M. & Fry, M. A. 1985 Fast three-dimensional flux-corrected transport code for highly resolved compressible flow calculations. In Proc. Ninth Intl Conf. on Numerical Methods in Fluid Dynamics. (ed. Soubbaramayer & J. P. Boujot), pp. 230–234. Springer.
11. Fyfe, D. E., Oran, E. S. & Fritts, M. J. 1989 Surface tension and viscosity with Lagrangian hydrodynamics on a triangular mesh. J. Comp. Phys. (to be published).
12. Gottlieb, D. 1985 Spectral methods for compressible flow problems. In Proc. Ninth Intl Conf. on Numerical Methods in Fluid Dynamics (ed. Soubbaramayer & J. P. Boujot), pp. 48–61. Springer.
13. Grinstein, F. F., Oran, E. S. & Boris, J. P. 1986 Numerical simulations of asymmetric mixing in planar shear flows. J. Fluid Mech. 165, 201–220.
14. Haas, J.-F. L. 1983 Wave propagation and Rayleigh-Taylor instability in non-uniform gases. Bull. Am. Phys. Soc. 28, 1359.
15. Hass J.-F. L. 1984 Interaction of weak shock waves and discrete gas inhomogeneities. Ph.D. thesis, California Institute of Technology.
16. Haas, J.-F. L. & Sturtevant, B. 1987 Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities. J. Fluid Mech. 181, 41–76.
17. Harten, A. 1983 High resolution schemes for hyperbolic conservation laws, J. Comp. Phys. 49, 357–393.
18. Lambm, H. 1945 Hydrodynamics, p. 202. Dover.
19. Landau, L. D. & Lifshitz, E. M. 1959 Fluid Mechanics, pp. 360–365. Pergamon.
20. Leonard, A. 1980 Vortex methods for flow simulation. J. Comp. Phys. 37, 289–335.
21. Löhner R. 1987 The efficient simulation of strongly unsteady flows by the finite Element method. AIAA-87-055.
22. Löhner, R., Morgan, K., Peraire J. & Vahdati M. 1987 Finite element flux-corrected transport (FEM-FCT) for the Euler and Navier-Stokes equations. Intl. J. Num. Meth. Fluids 7, 1093–1109.
23. Löhner R., Picone M. & Boris J. P. 1988 Wave structure produced by shock propagation through single and multiple gas inhomogeneities. In Proc. Sixteenth Intl Symp. on Shock Tubes and Waves. VCH Verlagsgesellschaft (to be published).
24. Markstein G. H. 1957a A shock tube study of flame front-pressure wave interactions. In Sixth Symp. (Intl) on Combustion, pp. 387–398. Reinhold.
25. Markstein G. H. 1957 b Flow disturbances induced near a slightly wavy contact surface, or flame front, traversed by a shock wave. J. Aero. Sci. 24, 238.
26. Maxworthy T. 1977 Some experimental studies of vortex rings. J. Fluid Mech. 81, 465–495.
27. Meshrov Y. Y. 1970 Instability of a shock wave accelerated interface between two gases. NASA TT F-13, 074.
28. Oran E. S., Young T. R., Bores J. P., Picone J. M. & Edwards D. H. 1983 A study of detonation structure: The formation of unreacted gas pockets. In Nineteenth Symp. (Intl) on Combustion, pp. 573–582. The Combustion Institute.
29. Picone J. M. & Boris J. P. 1983 Vorticity generation by asymmetric energy deposition in a gaseous medium. Phys. Fluids 26, 365–382.
30. Picone J. M., Boris J. P., Greig J. R., Raleigh M. & Fernsler R. F. 1981 Convective cooling of lightning channels. J. Atmos. Sci. 38, 2056–2062.
31. Picone J. M., Oran E. S., Boris J. P. & Young T. R. 1985 Theory of vorticity generation by shock wave and flame interactions. In Dynamics of Shock Waves, Explosions, and Detonations, pp. 429–448. American Institute of Aeronautics and Astronautics.
32. Richtmyer R. D. 1960 Taylor instability in shock acceleration of compressible fluids. Commun. Pure Appl. Maths 23, 297–319.
33. Richtmyer R. D. & Morton K. W. 1967 Difference Methods for Initial-Value Problems, pp. 288–383. Wiley-Interscience.
34. Rudinger G. 1958 Shock wave and flame interactions. In Combustion and Propulsion: Third AGARD Colloquium, pp. 153–182. Pergamon.
35. Rudinger G. & Somers L. 1960 Behaviour of small regions of different gases carried in accelerated gas flows. J. Fluid Mech. 7, 161–176.
36. Taylor G. I. 1953 Formation of a vortex ring by giving an impulse to a circular disk and then dissolving it away. J. Appl. Phys. 24, 104.
37. Woodward P. & Colella P. 1984 The numerical simulation of two-dimensional fluid flow with strong shocks. J. Comp. Phys. 54, 115–173.
38. Yee H. C. 1987 Construction of explicit and implicit symmetric TVD schemes and their applications. J. Comp. Phys. 68, 151–179.
39. Zalesak S. T. 1979 Fully multidimensional flux-corrected transport algorithms for fluids. J. Comp. Phys. 31, 335–362.