The Gaussian linear wave model, which has been successfully used in ocean engineering for more than half a century, is well understood, and there exist both exact theory and efficient numerical algorithms for calculation of the statistical distribution of wave characteristics. It is well suited for moderate seastates and deep water conditions. One drawback, however, is its lack of realism under extreme or shallow water conditions, in particular, its symmetry. It produces waves, which are stochastically symmetric, both in the vertical and in the horizontal direction. From that point of view, the Lagrangian wave model, which describes the horizontal and vertical movements of individual water particles, is more realistic. Its stochastic properties are much less known and have not been studied until quite recently. This paper presents a version of the first order stochastic Lagrange model that is able to generate irregular waves with both crest-trough and front-back asymmetries.
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August 2009
Safety And Reliability
First Order Stochastic Lagrange Model for Asymmetric Ocean Waves
Sofia Åberg
Sofia Åberg
Mathematical Statistics,
Lund University
, Lund SE-221 00, Sweden
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Georg Lindgren
Sofia Åberg
Mathematical Statistics,
Lund University
, Lund SE-221 00, SwedenJ. Offshore Mech. Arct. Eng. Aug 2009, 131(3): 031602 (8 pages)
Published Online: June 2, 2009
Article history
Received:
July 16, 2008
Revised:
February 2, 2009
Published:
June 2, 2009
Citation
Lindgren, G., and Åberg, S. (June 2, 2009). "First Order Stochastic Lagrange Model for Asymmetric Ocean Waves." ASME. J. Offshore Mech. Arct. Eng. August 2009; 131(3): 031602. https://doi.org/10.1115/1.3124134
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