Simulations and analysis of the coupling process of compressible vortex pairs: Free evolution and shock induced coupling

Physics of Fluids

Volumn 13, Issue 5, 2001, Pages 1343-1366

  Grasso, F ^a   Pirozzoli, S ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBILITY; COMPUTATIONAL FLUID DYNAMICS; MATHEMATICAL MODELS; SHEAR FLOW;

COMPRESSIBLE VORTEX PAIRS;

VORTEX FLOW;

COMPRESSIBLE FLOW; MATHEMATICAL MODELING; SHOCK WAVE; VORTEX;

EID: 0035339747     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1358875     Document Type: Article

References (19)

1. A. de Neufville, "The dying vortex," Proceedings of the Fifth Midwestern Conference on Fuid Mechanics, University of Michigan, 1957, p. 365.
2. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge, 1967).
3. H. Lamb, Hydrodynamics, 6th ed. (Cambridge University Press, Cambridge, 1932).
4. Y. Couder and C. Basdevant, "Experimental and numerical study of vortex couples in two-dimensional flows," J. Fluid Mech. 173, 225 (1986).
5. J. B. Flór and G. J. F. van Heijst, "An experimental study of dipolar vortex structures in a stratified fluid," J. Fluid Mech. 279, 101 (1994).
6. J. M. Nguyen Duc and J. Sommeria, "Experimental characterization of steady two-dimensional vortex couples," J. Fluid Mech. 192, 175 (1988).
7. R. R. Trieling, J. M. A. van Wesenbeeck, and G. J. F. van Heijst, "Dipolar vortices in a strain flow," Phys. Fluids 10, 144 (1998).
8. M. R. Schmidt, M. Beckers, A. H. Nielsen, J. Juul Rasmussen, and G. J. F. van Heijst, "On the interaction between two oppositely signed, shielded, monopolar vortices," Phys. Fluids 10, 3099 (1998).
9. X. D. Liu, S. Osher, and T. Chan, "Weighted essentially non-oscillatory schemes," J. Comput. Phys. 115, 200 (1994).
10. G. S. Jiang and C. W. Shu, "Efficient implementation of weighted ENO schemes," J. Comput. Phys. 126, 202 (1996).
11. F. Grasso and S. Pirozzoli, "Shock wave-vortex interactions: Shock and vortex deformations, and sound production," Theor. Comput. Fluid Dyn. 13, 421 (2000).
12. C. W. Shu, "Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws," NASA CR-97-206253, 1997.
13. C. W. Shu and S. Osher, "Efficient implementation of essentially non-oscillatory shock-capturing schemes," J. Comput. Phys. 77, 439 (1988).
14. S. Pirozzoli, F. Grasso, and A. D'Andrea (unpublished).
15. T. J. Poinsot and S. K. Lele, "Boundary conditions for direct simulations of compressible viscous reacting flows," J. Comput. Phys. 101, 104 (1992).
16. F. Grasso and C. Meola, "Euler and Navier-Stokes equations for compressible flows: Finite volume methods," in Handbook of Computational Fluid Mechanics, edited by R. Peyret (Academic, New York, 1996), p. 159.
17. O. Inoue and Y. Hattori, "Sound generation by shock-vortex interactions," J. Fluid Mech. 380, 81 (1999).
18. R. Samtaney and D. I. Pullin, "On initial-value and self-similar solutions of the compressible Euler equations," Phys. Fluids 8, 2650 (1996).
19. J. Jeong and F. Hussain, "On the identification of a vortex," J. Fluid Mech. 285, 69 (1995).