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Accurate determination of internal kinematics from numerical wave model results
Schäffer, H.A. (2004). Accurate determination of internal kinematics from numerical wave model results. : 199-211

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    Marine

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  • Schäffer, H.A.

Abstract
    The internal kinematics for surface waves propagating over a locally constant depth are expressed as convolution integrals.Given the wave kinematics at the still water level (SWL), this provides explicit and exact potential flow expressions for theinternal kinematics as convolutions in space with appropriate impulse response functions. These functions are derived in closedform and they are shown to decay exponentially. This effectively reduces the limits of the convolution integral to a horizontaldistance of approximately three water depths from the water column of interest. The SWL kinematics must be provided withinthis region. The source of SWL kinematics may, e.g. be one of the recently developed highly accurate Boussinesq-typeformulations. The method is valid for multidirectional, irregular waves of arbitrary nonlinearity at any constant water depth.

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