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Wave-porous structure interaction modelling using Improved Meshless Local Petrov Galerkin method |
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| Institution: | 1. Graduate School of Environmental and Life Science, Okayama University, Tsushima-naka 3-1-1, Kita-ku, Okayama, 700-8530, Japan;2. Nikken Kogaku Co., Ltd., Nishishinjuku 6-10-1, Shinjuku-ku, Tokyo, 160-0023, Japan;1. Université de Toulon, CNRS/INSU, IRD, Mediterranean Institute of Oceanography (MIO), UM 110, 83957 La Garde, France;2. Aix Marseille Université, CNRS/INSU, IRD, Mediterranean Institute of Oceanography (MIO), UM 110, 13288 Marseille, France;3. Aix Marseille Université, CNRS, Centrale Marseille, IRPHE, UMR 7342, 13451 Marseille cedex, France;4. ACRI-IN, 260, Route du Pin Montard Sophia-Antipolis, F-06410 Biot, France;1. State Key laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;2. Centre for Mathematical Modelling and Flow Analysis, Manchester Metropolitan University, Manchester M1 5GD, UK;1. The Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing 100124, China;2. Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China;1. Graduate School of Science and Engineering, Saitama University, Japan;2. International Institute for Resilient Society, Saitama University, Japan |
| Abstract: | This paper presents the application of the Improved Meshless Local Petrov Galerkin method with Rankine source (Sriram and Ma, 2012) Sriram and Ma (2012) for wave interaction with porous structure model. The mathematical model is based on a unified governing equation that incorporates both pure fluid and porous region. The porous flow model is based on the empirical resistance coefficients. The interface between the pure fluid and porous region is numerically treated using background nodes having the porosity information and interpolated over the particle using simplified finite difference interpolation method. The model is validated using the available experimental results for wave damping over the permeable bed. The developed model is used to analyse the different shape of the seawall such as flaring shaped seawall, recurve wall and vertical wall. Then the validated model is used for analysing the overtopping amount due to the effect of porous layer in-front of the different sea wall profile. Numerical expression for overtopping amount has been provided for the different configurations from the numerical model. |
| Keywords: | Recurve wall Vertical wall Flaring shaped sea wall Overtopping MLPG_R Wave-porous structure Meshless method |
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