Radiation stress and depth-dependent drift in surface waves with dissipation

International Journal of Offshore and Polar Engineering

Volumn 18, Issue 1, 2008, Pages 8-13

  Weber, Jan Erik H ^a   Broström, Göran ^b   Christensen, Kai H ^a  

^a UNIVERSITY OF OSLO   (Norway)

^b NORWEGIAN METEOROLOGICAL INSTITUTE   (Norway)

Author keywords

Radiation stress; Surface waves; Ware drift

Indexed keywords

GRAVITY WAVES; NUMERICAL METHODS; OCEANOGRAPHY; SURFACE WAVES; WIND STRESS;

LAGRANGIAN ANALYSIS; MEAN DRIFT EQUATION; RADIATION STRESS; STOKES DRIFT;

WATER WAVES;

GRAVITY WAVES; NUMERICAL METHODS; OCEANOGRAPHY; SURFACE WAVES; WATER WAVES; WIND STRESS;

AMPLITUDE; DISSIPATION; FREE SURFACE FLOW; GRAVITY WAVE; LAGRANGIAN ANALYSIS; STOKES FORMULA; SURFACE WAVE; WAVE FORCE; WAVELENGTH; WIND STRESS;

EID: 41849100375     PISSN: 10535381     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. Andrews, DG, and McIntyre, ME (1978). "An Exact Theory of Nonlinear Waves on a Lagrangian-mean Flow," J Fluid Mech, Vol 89, pp 609-646.
2. Ardhuin, F, Jenkins, AD, and Belibassakis, KA (2008). "Commentary on 'The Three-dimensional Current and Surface Wave Equations' by George Mellor," J Phys Oceanogr (in press).
3. Booij, N, Ris, RC, and Holthuijsen, LH (1999). "A Third-generation Wave Model for Coastal Regions. 1. Model Description and Validation," J Geophys Res, Vol 104, pp 7649-7666.
4. Broström, G, Christensen, KH, and Weber, JEH (2008). "A Quasi-Eulerian Quasi-Lagrangian View of Surface Wave-induced Flow in the Ocean," J Phys Oceanogr (in press).
5. Gaster, M (1962). "A Note on the Relation Between Temporally Increasing and Spatially Increasing Disturbances in Hydrodynamic Stability," J Fluid Mech, Vol 14, pp 222-224.
6. Høydalsvik, F, and Weber, JE (2003). "Mass Transport Velocity in Free Barotropic Poincaré Waves," J Phys Oceanogr, Vol 33, pp 2000-2012.
7. Jenkins, AD (1986). "A Theory for Steady and Variable Windand Wave-induced Currents," J Phys Oceanogr, Vol 16, pp 1370-1377.
8. Jenkins, AD (1989). "The Use of a Wave Prediction Model for Driving a Near-surface Current Model," Dt Hydrogr Z, Vol 42, pp 133-149.
9. Komen, GJ, Cavaleri, L, Doneland, M, Hasselmann, K, Hasselman, S, and Janssen, PAEM (1994). Dynamics and Modelling of Ocean Waves, Cambridge Univ Press, 533 pp.
10. Lake, BM, Yuen, HC, Rungaldier, H, and Ferguson, WE (1977). "Nonlinear Deep-water Waves: Theory and Experiment. Part 2. Evolution of a Continuous Wave Train," J Fluid Mech, Vol 83, pp 49-74.
11. Lamb, H (1932). Hydrodynamics, 6th ed, Cambridge Univ Press, 738 pp.
12. Longuet-Higgins, MS (1953). "Mass Transport in Water Waves," Philos Trans R Soc London, Vol A 245, pp 535-581.
13. Longuet-Higgins, MS (1969). "A Nonlinear Mechanism for the Generation of Sea Waves," Proc R Soc London, Vol A 311, pp 371-389.
14. Longuet-Higgins, MS (1986). "Eulerian and Lagrangian Aspects of Surface Waves," J Fluid Mech, Vol 173, pp 683-707.
15. Longuet-Higgins, MS, and Stewart, RW (1960). "Changes in the Form of Short Gravity Waves on Long Waves and Tidal Currents," J Fluid Mech, Vol 8, pp 565-583.
16. McIntyre, ME (1981). "On the'Wave Momentum' Myth," J Fluid Mech, Vol 106, pp 331-347.
17. McIntyre, ME (1988). "A Note on the Divergence Effect and the Lagrangian-mean Surface Elevation in Water Waves," J Fluid Mech, Vol 189, pp 235-242.
18. Mei, CC, and Hancock, MJ (2003). "Weakly Nonlinear Surface Waves over a Random Seabed," J Fluid Mech, Vol 475, pp 247-268.
19. Mellor, G (2003). "The Three-dimensional Current and Surface Wave Equations," J Phys Oceanogr, Vol 33, pp 1978-1989.
20. Mellor, G (2005). "Some Consequences of the Three-dimensional Current and Surface Wave Equations," J Phys Oceanogr, Vol 35, pp 2291-2298.
21. Miles, JW (1967). "Surface-wave Damping in Closed Basins," Proc R Soc, Vol A297, pp 459-475.
22. Phillips, OM (1977). The Dynamics of the Upper Ocean, 2nd ed, Cambridge Univ Press, 336 pp.
23. Segur, H, Henderson, D, Carter, J, Hammack, J, Li, C-M, Pheiff, D, and Socha, K (2005). "Stabilizing the Benjamin-Feir Instability," J Fluid Mech, Vol 539, pp 229-271.
24. Stokes, GG (1847). "On the Theory of Oscillatory Waves," Trans Camb Phil Soc, Vol 8, pp 441-455.
25. Weber, JE (1998). "Mass Transport Induced by Surface Waves in a Viscous Rotating Fluid," Free Surface Flows with Viscosity, PA Tyvand, ed, Comput Mech Publ, pp 37-67.
26. Weber, JEH, Broström, G, and Saetra, Ø (2006). "Eulerian Versus Lagrangian Approaches to the Wave-induced Transport in the Upper Ocean," J Phys Oceanogr, Vol 36, pp 2106-2118.
27. Xu, Z, and Bowen, AJ (1994). "Wave- and Wind-driven Flow in Water of Finite Depth," J Phys Oceanogr, Vol 24, pp 1850-1866.