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A causal transient water wave diffraction formulation
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DOI：10.1016/S0141-1187(00)00020-1.png)
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Abstract
En 中文
The frequency-domain description of the potential function corresponding to a sinusoidal progressing wave can form the basis for describing an arbitrary incident wave field in linearized free-surface hydrodynamics. Fourier techniques make it possible to relate the incident sea state to the resulting hydrodynamic forces on a floating body. This paper develops a rational description in the frequency domain for the corresponding dynamical system which can then be realized in the time domain as a system of constant-coefficient differential equations driven by incident wave height at a datum and whose output is the Froude-Krylov force. This is made possible by showing that the time-domain version of the potential for a sinusoidal progressing wave satisfies a fourth-order time-varying ordinary differential equation (ODE) analogous to that satisfied by the three-dimensional time-domain source function. Laplace transformation of this ODE followed by bilinear transformation supplies the analytical basis for generating the rational approximation. Various causality issues associated with the diffraction forces are neatly handled by the approach presented here. (C) 2000 Elsevier Science Ltd. All rights reserved.
Keywords:
water wave diffraction
Froude-Krylov forces
transient hydrodynamics
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