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Abstract
A numerical modeling approach is applied to investigate the combined effect of wave-current-mud on the evolution of nonlinear waves. A frequency-domain phase-resolving wave-current model that solves nonlinear wave-wave interactions is used to solve wave evolution. A comparison between the results of numerical wave model and the laboratory experiments confirms the accuracy of the numerical model. The model is then applied to consider the effect of mud properties on nonlinear surface wave evolution. It is shown that resonance effect in viscoelastic mud creates a complex frequency-dependent dissipation pattern. In fact, due to the resonance effect, higher surface wave frequencies can experience higher damping rates over viscoelastic mud compared to viscous mud in both permanent form solution and random wave scenarios. Thus, neglecting mud elasticity can result in inaccuracies in estimating total wave energy and wave shape.References
Chan, I., Liu, P., 2009. Responses of Bingham plastic muddy seabed to a surface solitary wave. J Fluid Mech 618, 155-180
Dalrymple, R. A., Liu, P. L. F., 1978b. Waves over soft muds: a two-layer fluid model. J. Phys. Oceanogr. 8, 1121-1131.
Gade, H., 1958. Effects of a no rigid, impermeable bottom on place waves in shallow water. J. Marine Research 16, 61-82.
Jain, M., Mehta, A. J., 2009. Role of basic rheological models in determination of wave attenuation over muddy seabeds. Cont. Shelf Res. 29(3), 642-651.
Kaihatu, J. M., Sheremet, A., Holland, K. T., 2007. A model for the propagation of nonlinear surface waves over viscous muds. Coastal Engineering 54 (10), 752-764.
Kaihatu, J. M., Tahvildari, N., 2012. The combined effect of wave-current interaction and mud-induced damping on nonlinear wave evolution. Ocean Modelling 41, 22-34.
Kaihatu, J., 2009. Application of a nonlinear frequency domain wave-current interaction model to shallow water recurrence in random waves. J. Ocean Modeling 26, 190-250.
Kaihatu, J. M., Kirby, J. T., 1998. Two-dimensional parabolic modeling of extend boussinesq equations. J. Waterw. Port C-ASCE 124, 57-67.
Kaihatu, J. M., Kirby, J. T., 1995. Nonlinear transformation of waves in finite water depth. Phys. Fluids 7, 1903-1914
Liu, P. L. F., and I. C. Chan (2006), A note on the effects of a thin visco-elastic mud layer on small amplitude water-wave propagation, Coastal Eng., 54(3), 233-247.
Macpherson, H., 1980. The attenuation of water waves over a non-rigid bed. J. Fluid Mech. 97, 721-742
Mei, C. C., Krotov, M., Huang, Z., Huhe, A., 2010. Short and long waves over a muddy seabed. J Fluid Mech 643, 33-58.
Mei, C. C., Liu, K., 1987. A bingham-plastic model for a muddy seabed under long waves. J Geophys. Res. 92, 14581?-14594
Ng, C.-O., 2000. Water waves over a muddy bed: a two-layer stokes' boundary layer model. Coastal Engineering 40 (3), 221-242.
Philips, O. M., 1981. Wave interactions- the evolution of an idea. J. Fluid Mech.106, 215-227
Sheremet, A., Stone, G.W., 2003. Observations of nearshore wave dissipation over muddy seabeds. J. Geophys. Res. 108, 3357-3368.
Smith, R., Sprinks, T., 1975. Scattering of surface waves by a conical island. J. Fluid Mech 72, 373-384.
Soltanpour, M., Samsami, F., 2011. A comparative study on the rheology and wave 610 dissipation of kaolinite and natural hendijan coast mud, the Persian gulf. J Ocean Confidential manuscript submitted to JGR-Oceans Dyn 61, 295-309.
Zhao, Z.-D., Lian, J.-J., Shi, J. Z., 2006. Interactions among waves, current, and mud: numerical and laboratory studies. Advances in water resources 29 (11), 1731-1744.