Model of attenuation of long waves under continuous ice layer

5th International Conference on "Problems of Mathematical and Theoretical Physics and Mathematical Modelling"

物理学;数学

Kochanov, M.B.^1 ; Petrov, B.A.^1

Department of Applied Mathematics, National Research Nuclear University MEPhI, 31 Kashirskoe Shosse, Moscow

115409, Russia^1

关键词: Dissipation effects;    Ice layers;    New mathematical model;    Nonlinear evolution equation;    Thin elastic plates;    Water surface;    Wave attenuation;    Wave energy;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/788/1/012018/pdf
DOI  :  10.1088/1742-6596/788/1/012018

来源: IOP

【 摘 要 】

In this work new mathematical model of long wave propagation on water surface with ice cover is proposed. The model of thin elastic plate is used to describe ice layer movement. Equation for ice cover contain additional term to takes into account dissipation effects in the ice cover to explain wave attenuation. Proposed model was reduced to one nonlinear evolution equation for water level perturbation. The expression for wave energy was obtained under assumption of long waves. Proposed model is numerically studied, energy of system is computed. Obtained results are compared with results of suggested before model that takes into account the flow law of Glen.