Numerical simulation of non-linear regular and focused waves in an infinite water-depth |
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| Authors: | DZ Ning B Teng R Eatock Taylor J Zang |
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| Institution: | aState Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China;bDepartment of Engineering Science, University of Oxford, Oxford OX1 3PJ, UK;cDepartment of Architecture and Civil Engineering, University of Bath, Bath BA2 7AY, UK |
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| Abstract: | Inviscid three-dimensional free surface wave motions are simulated using a novel quadratic higher order boundary element model (HOBEM) based on potential theory for irrotational, incompressible fluid flow in an infinite water-depth. The free surface boundary conditions are fully non-linear. Based on the use of images, a channel Green function is developed and applied to the present model so that two lateral surfaces of an infinite-depth wave tank can be excluded from the calculation domain. In order to generate incident waves and dissipate outgoing waves, a non-reflective wave generator, composed of a series of vertically aligned point sources in the computational domain, is used in conjunction with upstream and downstream damping layers. Numerical experiments are carried out, with linear and fully non-linear, regular and focused waves. It can be seen from the results that the present approach is effective in generating a specified wave profile in an infinite water-depth without reflection at the open boundaries, and fully non-linear numerical simulations compare well with theoretical solutions. The present numerical technique is aimed at efficient modelling of the non-linear wave interactions with ocean structures in deep water. |
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| Keywords: | Numerical wave tank Infinite water-depth HOBEM Focused wave groups Fully non-linear |
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