Abstract
Through the eighties the theory for second order irregular wave generation was developed within the framework of Stokes wave theory. This pioneering work, however, is not fully consistent. Furthermore, due to the extensive algebra involved, the derived transfer functions appear in an unnecessarily complicated form. The present paper develops the full second order wavemaker theory (including superharmonics as well as subharmonics) valid for a variety of different types of wave board motion. In addition to the well known transfer functions some new terms evolve. These are related to the first order local disturbances (evanescent modes) and accordingly they are significant when the wave board motion makes a poor fit to the velocity profile of the desired progressive wave component. This is typically the case for the high-frequency part of a primary wave spectrum when using a piston type wavemaker. The transfer functions are given in a relatively simple form by which the computational effort is reduced substantially. This enhances the practical computation of second order wavemaker control signals for irregular waves, and no narrow band assumption is needed. The software is conveniently included in a PC-based wave generation system — the DHI Wave Synthesizer. The validity of the theory is analysed in a number of laboratory wave tests, covering the superharmonic generation for regular waves.
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© 1993 Springer Science+Business Media Dordrecht
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Schäffer, H.A. (1993). Laboratory Wave Generation Correct to Second Order. In: Wave Kinematics and Environmental Forces. Advances in Underwater Technology, Ocean Science and Offshore Engineering, vol 29. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3663-3_7
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DOI: https://doi.org/10.1007/978-94-017-3663-3_7
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