Theory of weakly damped free-surface flows: A new formulation based on potential flow solutions

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 372, Issue 8, 2008, Pages 1297-1302

  Dias, F ^a   Dyachenko, A I ^b   Zakharov, V E ^b,c,d  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

^c University of Arizona   (United States)

^d LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

Free surface; Navier Stokes equations; Potential flow; Viscosity

Indexed keywords

NONLINEAR EQUATIONS; POTENTIAL FLOW; VISCOSITY; VISCOUS FLOW;

BERNOULLI'S EQUATIONS; FREE SURFACES; FREE-SURFACE FLOW; IRROTATIONAL; KINEMATIC BOUNDARY CONDITIONS; LINEAR APPROXIMATIONS; NLS EQUATIONS; WEAKLY NON-LINEAR;

NAVIER STOKES EQUATIONS;

EID: 38849134959     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2007.09.027     Document Type: Article

References (20)

1. Longuet-Higgins M.S. J. Fluid Mech. 235 (1992) 319
2. Boussinesq J. C. R. Acad. Sci. Paris 121 (1895) 15
3. Lamb H. Hydrodynamics. sixth ed. (1932), Cambridge Univ. Press Reprinted by
4. Lamb H. Hydrodynamics. sixth ed. (1945), Dover
5. Basset A.B. Treatise on Hydrodynamics (1888), Deighton, Bell, Cambridge
6. Joseph D.D., and Wang J. J. Fluid Mech. 505 (2004) 365
7. Wang J., and Joseph D.D. J. Fluid Mech. 559 (2006) 461
8. Tuck E.O. J. Ship Research 18 (1974) 265
9. Ruvinsky K.D., Feldstein F.I., and Freidman G.I. J. Fluid Mech. 230 (1991) 339
10. Baker G.R., Meiron D.I., and Orszag S.A. J. Sci. Comput. 4 3 (1989) 237
11. Dyachenko A.I., Korotkevich A.O., and Zakharov V.E. JETP Lett. 77 10 (2003) 649
12. Dyachenko A.I., Korotkevich A.O., and Zakharov V.E. Phys. Rev. Lett. 92 13 (2004) 134501
13. Zakharov V.E., Korotkevich A.O., Pushkarev A.N., and Dyachenko A.I. JETP Lett. 82 8 (2005) 544
14. Pushkarev A.N., and Zakharov V.E. Phys. Rev. Lett. 76 (1996) 3320
15. Fuhrman D.R., Bingham H.B., and Madsen P.A. Coastal Eng. 52 (2005) 655
16. Zakharov V.E., Falkovich G., and L'vov V.S. Kolmogorov Spectra of Turbulence I (1992), Springer-Verlag, Berlin
17. Debnath L. Nonlinear Water Waves (1994), Academic Press pp. 74-80
18. Spivak B., Vanden-Broeck J.-M., and Miloh T. Eur. J. Mech. B: Fluids 21 (2002) 207
19. Longuet-Higgins M.S. Philos. Trans. R. Soc. London, Ser. A 245 (1953) 535
20. Dutykh D., and Dias F. C. R. Acad. Sci. Paris, Ser. I 345 (2007) 113