Conditional Simulation of Laboratory Waves
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 125, Issue 6
Abstract
A conditional simulation may be defined as a numerical method for embedding a deterministic sequence of waves or wave groups into a random wave simulation having a specified target variance spectrum. The conditional simulation may be performed in either the time or frequency domains. In the time domain, the procedure is direct and easy to understand, but it is time-consuming to compute. In the frequency domain, the procedure is more efficient when finite Fourier transform algorithms are used. The numerical stability of conditional simulation depends on the condition of a covariance matrix that depends on (1) the ratio of the length of the embedded wave sequence to the length of the unconditional sequence; (2) the compatibility of the variance of the embedded wave sequence with the variance of the target spectrum; and (3) the size of the discrete simulation time step Δt. Conditional simulations of water surface elevations were transformed by a finite Fourier transform interpolation algorithm to the motion of a planar wavemaker to generate conditional simulations in a 2D wave channel, and the comparisons between the measured laboratory waves and the numerical conditional simulations were good.
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Received: Jan 20, 1998
Published online: Nov 1, 1999
Published in print: Nov 1999
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