- wave propagation,
- ice effect,
- load movement,
- ice deflection,
- wave disturbances
- Stokes' drift ...More
Abstract
On a base of developed hydrodynamic models the reflecting capacities of edges, cracks and ice field breaks are studied when the surface waves pass through them. It was investigated the ice flexural rigidity and compression effects on the spatial distribution of wave disturbance amplitudes and bend stresses of the ice cover on both sides of the examined horizontal non-uniformity. Assessment of the ice breaking possibility within the edge-side zones was made. The surface wave propagation from the basin deep-water area through the bottom’s step into the area of the finite depth is investigated. The spatial and temporal features of the formed dynamic frontal zones on both sides of the step are revealed. The dependence of the basin surface displacement amplitudes and wave current velocities on the ice thickness, incident wave periods, and depth of the step occurrence, is studied. The three-dimensional bending vibrations of floating ice cover induced by a moving vortex formation are studied. Dependence of the amplitude-phase vibration characteristics on the ice rigidity in bending, angular velocity and forward speed of the vortex is investigated. Spatial distribution of the flexural-gravity disturbances both in front of the moving pressure region and in the back wake is analyzed. A mathematical model of the non-linear dynamics of surface waves of finite amplitude in the ice floes seas was developed involving the method of multiscale expansions. Using the model, it was studied
the dependence of the amplitude-phase structure of disturbances, formed by the propagating non-linear periodic waves, on the basin depth, ice thickness and non-linearity of its vertical acceleration, frequency and steepness of initial wave harmonics. The ice Stokes drift velocity was estimated as well as the ice induced non-linear mass transport analyzed.
References
- Bukatov, A.E., & Bukatov, A.A. (1999). Propagation of Surface Waves of Finite Amplitude in a Basin with Floating Broken Ice. Int. J. Offshore and Polar Eng., 9(3), 161-166.
- Bukatov, A.E., & Bukatov, A.A. (2001). Mass Transport under Non-linear Interaction between Surface Waves in the Basin with Floating Broken Ice. Mor. Gidrofiz. Zhurn., 2, 3-10.
- Bukatov, A.E., & Zav'yalov, D.D. (1998). On Running of Flexible Gravity Waves over the Line of Contact of two Starting Ice Plates of Different Depths. Mor. Gidrofiz. Zhurn., 1, 11-17.
- Bukatov, A.E., & Zav'yalov, D.D. (2000). Influence of a Shear and Inertia of Cross Sections Rotation upon Oscillations of Floating Ice Cover. Mor. Gidrofiz. Zhurn., 6, 28-35.
- Bukatov, A.E., & Zharkov, V.V. (1998). Influence of Broken Ice on the Propagation of Surface Waves over a Bottom Shelf. Izv. RAN Mekh. Zhidk. i Gaza, 6, 106-115.
- Bukatov, A.E., & Zharkov, V.V. (2001). The Floating Continuous Ice Cover's Flexural Oscillations When a Load is Moving Along a Complicated Trajectory. Int. J. Offshore and Polar Eng., 11(1), 1-8.
- Fox, C., & Squire, V.A. (1990). Refraction and Transmission Characteristics at the Edge of Shore Fast Sea Ice. J. Geophys. Res., C95(7), 11,629-11,639.
- Kheisin, D.Ye. (1967). Dynamics of Ice Cover. Leningrad, Gidrometeoizdat. (In Russian)
- Krasil'nikov, V.N. (1967). A Solution of Certain Boundary-contact. Problems of Linear Hydrodynamics, Prikl. Mat. Mekh., 25(4), 746-768.
- Murty, T.S., & Polavarapu, R.J. (1979). Influence of an Ice LAyer on the Propagation of Long Waves. Marine Geodesy, 2(2), 99-125.
- Nayfey, A.H. (1976). Perturbation methods. Moscow, Mir. (In Russian)
- Newman, J.N. (1965). Propagation of Water over an Infinite Step. J. Fluid Mech., 23(2), 399-415.
- Squire, V.A., Hosking, R.J., Kerr, A.D. et al. (1996). Moving Loads on Ice Plates. Dordrecht, Kluwer.
- Wadhams, P. (1986). The Seasonal Ice Zone. The Geophysics of Sea Ice, Proc. NATO Adv. Study Inst. Air-Sea-Ice Interact. New York - London, Plenum Press, chapter 14, 825-991.