Computations of violent surface motions: Comparisons with theory and experiment

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 355, Issue 1724, 1997, Pages 649-663

  Rogers, J C W ^a   Szymczak, W G ^b,c  

^a POLYTECHNIC UNIVERSITY   (United States)

^b Naval Surface Warfare Center   (United States)

^c NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042919522     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.1997.0031     Document Type: Review

References (21)

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2. Davis, S. F. 1988 Simplified second order Godunov-type methods. SIAM Jl Sci. Comput. 9, 445-473.
3. Hirt, C. W. & Nichols, B. D. 1981 Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys. 39, 201-225.
4. Joo, S. W., Schultz, W. W. & Messiter, A. F. 1990 An analysis of the initial-value wavemaker problem. J. Fluid Mech. 214, 161-183.
5. Kothe, D. E. & Mjolsness, R. C. 1992 RIPPLE: a new model for incompressible flows with free surfaces. AIAA Jl 30, 2694-2700.
6. King, A. C. & Needham, D. J. 1994 The initial development of a jet caused by fluid, body and free-surface interaction. 1. A uniformly accelerating plate. J. Fluid Mech. 268, 89-101.
7. Leung, S. & Rogers, J. C. W. 1997 A model Boltzmann approach for the collision of dilute gases. Appl. Math. Letters. (To appear.)
8. Roberts, A. J. 1987 Transient free-surface flows generated by a moving vertical plate. Q. Jl Mech. Appl. Math. 40, 129-158.
9. Rogers, J. C. W. 1977 Some exact hydrodynamic flows with free surfaces. Johns Hopkins Applied Physics Lab. TG 1307.
10. Rogers, J. C. W. 1978a Incompressible flows as a system of conservation laws with a constraint. Seminaires IRIA Analyse et Contrôle de Systèmes. pp. 141-162.
11. Rogers, J. C. W. 1978b Stability, energy conservation, and turbulence for water waves. Seminaires IRIA Analyse et Contrôle de Systèmes. pp. 163-180.
12. Rogers, J. C. W. 1992 Aspects of nonclassical hydrodynamics. Talk given at Conf. on Nonlinear Mathematical Problems in Industry, November 1992, Iwaki, Japan.
13. Rogers, J. C. W., Szymczak, W. G., Berger, A. E. & Solomon, J. M. 1990 Numerical solution of hydrodynamic free boundary problems. Free boundary problems, proceedings, conference on free boundary problems-numerical methods and optimal control (ed. K.-H. Hoffmann & J. Sprekels), pp. 241-266. Basel: Birkhäuser.
14. Rubenstein, L. I. 1971 The Stefan problem. Providence, RI: AMS.
15. Szymczak, W. G. 1994 Energy losses in non-classical free surface flows. Bubble dynamics and interface phenomena (ed. J. R. Blake, J. M. Boulton-Stone &: N. H. Thomas), pp. 413-420. Dordrecht: Kluwer.
16. Szymczak, W. G. & Solomon, J. M. 1996 Computations and experiments of shallow depth explosion plumes. Naval Surface Warfare Center, NSWCDD/TR-94/156.
17. Szymczak, W. G., Solomon, J. M., Berger, A. E. & Rogers, J. C. W. 1991 A numerical method based on a generalized formulation of hydrodynamic free surface problems. AIAA 10th Computational Fluid Dynamics Conf., June 1991, Honolulu, Hawaii.
18. Szymczak, W. G., Rogers, J. C. W., Solomon, J. M. & Berger, A. E. 1993 A numerical algorithm for hydrodynamic free boundary problems. J. Comput. Phys. 106, 319-336.
19. Szymczak, W. G., Solomon, J. M., Berger, A. E. & Rogers, J. C. W. 1995 Numerical simulations of cavitation inception. Proc. of CAV '95, The Int. Symp. on Cavitation, May, 1995, Deauville, France. pp. 399-406.
20. Szymczak, W. G., Solomon, J. M. & Berger, A. E. 1997 BUB3D (description of mathematical model, algorithms, and user's guide). Naval Surface Warfare Center, NSWCDD/TR-95/42.
21. Zhang, S., Duncan, J. H. & Chahine, G. L. 1993 The final stage of the collapse of a cavitation bubble near a rigid wall. J. Fluid Mech. 257, 147-181.