The rotational flow of finite amplitude periodic water waves on shear currents

Applied Ocean Research

Volumn 20, Issue 3, 1998, Pages 163-171

  Baddour, R E ^a   Song, S W ^b  

^a NATIONAL RESEARCH COUNCIL CANADA   (Canada)

^b UNIVERSITY OF PRINCE EDWARD ISLAND   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EQUATIONS OF MOTION; FUNCTIONS; OCEAN CURRENTS; ROTATIONAL FLOW; SHEAR FLOW;

FINITE AMPLITUDE PERIODIC WATER WAVES; SHEAR CURRENTS;

WATER WAVES;

CURRENT; ROTATING FLOW; SHEAR FLOW; WATER WAVE;

CURRENT; ROTATING FLOW; SHEAR FLOW; WAVE;

EID: 0032100425     PISSN: 01411187     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0141-1187(98)00015-7     Document Type: Article

References (18)

1. [1] Thompson PD. The propagation of small surface disturbance through rotational flow. Ann. N.Y. Acad. Sci. 1949;51:463-474.
2. [2] Biesel F. Étude théorique de la houle en eau courante. Houille Blanche 1950;5:279-285.
3. [3] Taylor GI. The action of a surface current used as a breakwater. Proc. Roy. Soc. A 1955;231:466-478.
4. [4] Brevik I. The stopping of linear gravity waves in currents of uniform vorticity. Phys. Norvegica 1976;8:157-162.
5. [5] Tsao S. Behaviour of surface waves on linearly varying currents. J. Geophys. Res. 1957;79:4498-4508.
6. [6] Dalrymple, RA. Water wave models and wave forces with shear currents. Coastal Ocean Engng Lab., Univ. Florida Tech. Rep., no. 20, 1973.
7. [7] Simmen JA, Saffman PG. Steady deep-water waves on a linear shear current. Stud. Appl. Maths 1985;73:35-57.
8. [8] Abdullah AJ. Wave motion at the surface of current which has an exponential distribution of vorticity. Ann. N.Y. Acad. Sci. 1949;51:425-441.
9. [9] Dalrymple RA. A numerical model for periodic finite amplitude wave on a rotational fluid. J. Computational Phys. 1977;24:29-42.
10. [10] Fenton JD. Some results for surface gravity waves on shear flows. J. Inst. Math. Appl. 1973;12:1-20.
11. [11] Hedges TS. Combinations of waves and currents: an introduction. Proc. In. stn. Civ. Engrs, Part 1 1987;82:567-585.
12. [12] Thomas GP, Klopman G. Wave-current interactions in the nearshore region. In Gravity Waves in Water of Finite Depth, ed. J. N. Hunt, Advances in Fluid Mechanics, Vol. 10, CMP, Southampton. 1997.
13. [13] Burns JC. Long waves in running water. Proc. Camb. Phil. Soc. 1953;49:695-705.
14. [14] Johnson RS. A Modern Introduction to the Mathematical Theory of Water Waves, Cambridge University Press, Cambridge, UK, 1997.
15. [15] Lamb H. Theoretical Hydrodynamics, Cambridge University Press, Cambridge, UK, 1954.
16. [16] Weinstein A. Sur un problème aux limites dans une bande indéfinie. C. R. Acad. Sci. Paris 1927;184:497-499.
17. [17] Weinstein A. On surface waves. Canad. J. Math. 1949;1:271-278.
18. [18] Wehausen JV, Laitone E. Surface Waves. Handbuch der Physik, Vol IX, Fluid Dynamics III, ed. S. Flugge, Springer-Verlag, Berlin, 1960, p. 474.