Journal
APPLIED OCEAN RESEARCH
Volume 135, Issue -, Pages -Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.apor.2023.103570
Keywords
Multi-directional waves; Wind-waves; Swell; Wave estimation; Prolate spheroidal wave functions
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This paper presents a new approach for estimating encountered wave elevation sequences by using measured ship responses. The approach assumes that the wave field is represented by multi-directional irregular waves and makes use of Prolate Spheroidal Wave Functions (PSWF). By combining available measured responses, the phases and amplitudes of the multi-directional irregular waves are derived as the solution, enabling the estimation of wave profiles. Numerical investigations using artificially generated response measurements of a bulk carrier in different wave states demonstrate the accuracy of the proposed approach in estimating wave elevation sequences.
This paper presents a new approach for estimating encountered wave elevation sequences by use of measured ship responses, where wind-waves and swell may come from different directions, i.e. bi-directional waves. The main assumption of the approach, making use of Prolate Spheroidal Wave Functions (PSWF), is that the wave field is represented by multi-directional irregular waves. Thus, combining available measured responses, the phases and amplitudes of the multi-directional irregular waves are derived as the solution, by which the wave profiles can be estimated. Numerical investigations using artificially generated response measurements (sway, heave, pitch, vertical bending moment) of a bulk carrier in uni-directional and bi-directional long-crested as well as short-crested sea states are made. It is shown that the present approach can accurately estimate wave elevation sequences in such sea states.
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