Extrapolation of random wave field data via compressive sampling

OCEAN ENGINEERING

卷:157

Article

Malara, Giovanni¹  Kougioumtzoglou, Ioannis A.²  Arena, Felice¹ 

[1] Mediterranea Univ Reggio Calabria, NOEL, I-89122 Reggio Di Calabria, Italy

[2] Columbia Univ, Dept Civil Engn & Engn Mech, New York, NY 10027 USA

关键词: Compressive sampling;    Sparse representation;    Adaptive basis;    Random wave field;    Directional spectrum;   

DOI  :  10.1016/j.oceaneng.2018.03.044

来源: Elsevier

【 摘 要 】

Estimating the space-time characteristics of a sea state is of crucial importance to a number of engineering applications, such as the ones involving three-dimensional waves interacting with marine structures. In this context, developing a technique that allows extrapolating information about the wave field utilizing only a relatively small number of records is highly impactful, as it allows minimizing the use of expensive and sophisticated measurement techniques. In this paper, a Compressive Sampling (CS) based technique is developed for extrapolating free surface displacement data. The technique relies on a directional spectrum compatible sparse representation in conjunction with formulating and solving an L-1-norm optimization problem. Further, the accuracy of the developed technique is significantly enhanced via the use of an adaptive basis re-weighting procedure. Pertinent numerical examples demonstrate that the technique is capable of reconstructing the time history of a free surface displacement record successfully, while capturing the main features of the target frequency spectrum and of the cross-correlation function satisfactorily.

【 授权许可】

Free