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Linear and nonlinear wave diffraction using the nonlinear time dependent mild slope equations
Institution:1. School of Physics and Optoelectronic Engineering, Nanjing University of Information Science & Technology, Nanjing, Jiangsu, 210044, PR China;2. Jiangsu Haiwei Photoelectronic Technology Company Limited, Nantong, Jiangsu, 226600, PR China;1. GAP-Climate and Institute for Environmental Sciences, University of Geneva, Route de Drize 7, 1227 Carouge, Switzerland;2. GAP-Nonlinear, University of Geneva, Chemin de Pinchat 22, 1227 Carouge, Switzerland;1. Professor, Department of Civil Engineering, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-8656, Japan;2. Ministry of Land, Infrastructure, Transport and Tourism, Japan;3. Researcher, Department of Civil Engineering, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-8656, Japan;1. Institute of Microelectronics Technology and High Purity Materials Russian Academy of Sciences, 142432 Chernogolovka, Russia;2. Institut für Nanometeroptik und Technologie, Helmholtz-Zentrum Berlin für Materialien und Energie GmbH, 12489 Berlin, Germany;3. National University of Science and Technology MISiS, Leninskiy prospekt 2, 119049 Moscow, Russia
Abstract:Nonlinear wave diffraction is studied using the nonlinear time-dependent mild slope equation. The equations are solved using a combined Newton–Raphson and Crank–Nicolson finite difference scheme. The model results are verified for propagation of highly nonlinear waves over uniform depth and wave diffraction due to semi-finite breakwater and breakwater gap with different widths. Comparison between the numerical and experimental results indicates that the model is capable of simulating nonlinear wave diffraction. The model is applied to study the effect of the wave nonlinearity on the diffraction coefficient for a semi-infinite breakwater and a breakwater gap.
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