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http://dx.doi.org/10.2478/IJNAOE-2013-0171

Prediction of propagated wave profiles based on point measurement  

Lee, Sang-Beom (Grobal Core Research Center for Ships and Offshore Plants, Pusan National University)
Choi, Young-Myoung (Department of Naval Architecture and Ocean Engineering, Pusan National University)
Do, Jitae (Department of Naval Architecture and Ocean Engineering, Pusan National University)
Kwon, Sun-Hong (Department of Naval Architecture and Ocean Engineering, Pusan National University)
Publication Information
International Journal of Naval Architecture and Ocean Engineering / v.6, no.1, 2014 , pp. 175-185 More about this Journal
Abstract
This study presents the prediction of propagated wave profiles using the wave information at a fixed point. The fixed points can be fixed in either space or time. Wave information based on the linear wave theory can be expressed by Fredholm integral equation of the first kinds. The discretized matrix equation is usually an ill-conditioned system. Tikhonov regularization was applied to the ill-conditioned system to overcome instability of the system. The regularization parameter is calculated by using the L-curve method. The numerical results are compared with the experimental results. The analysis of the numerical computation shows that the Tikhonov regularization method is useful.
Keywords
Wave profile; Singular value decomposition; Ill-conditioned matrix; Tikhonov regularization; Regularization parameter; L-curve; Gaussian wave packet;
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