Asset Details
Do you wish to reserve the book?
Nonlinear phase-resolved reconstruction of irregular water waves
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
Nonlinear phase-resolved reconstruction of irregular water waves
Do you wish to request the book?
Nonlinear phase-resolved reconstruction of irregular water waves
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Journal Article
Nonlinear phase-resolved reconstruction of irregular water waves
2018
Overview
We develop and validate a high-order reconstruction (HOR) method for the phase-resolved reconstruction of a nonlinear wave field given a set of wave measurements. HOR optimizes the amplitude and phase of
$L$
free wave components of the wave field, accounting for nonlinear wave interactions up to order
$M$
in the evolution, to obtain a wave field that minimizes the reconstruction error between the reconstructed wave field and the given measurements. For a given reconstruction tolerance,
$L$
and
$M$
are provided in the HOR scheme itself. To demonstrate the validity and efficacy of HOR, we perform extensive tests of general two- and three-dimensional wave fields specified by theoretical Stokes waves, nonlinear simulations and physical wave fields in tank experiments which we conduct. The necessary
$L$
, for general broad-banded wave fields, is shown to be substantially less than the free and locked modes needed for the nonlinear evolution. We find that, even for relatively small wave steepness, the inclusion of high-order effects in HOR is important for prediction of wave kinematics not in the measurements. For all the cases we consider, HOR converges to the underlying wave field within a nonlinear spatial-temporal predictable zone
${\\mathcal{P}}_{NL}$
which depends on the measurements and wave nonlinearity. For infinitesimal waves,
${\\mathcal{P}}_{NL}$
matches the linear predictable zone
${\\mathcal{P}}_{L}$
, verifying the analytic solution presented in Qi et al. (Wave Motion, vol. 77, 2018, pp. 195–213). With increasing wave nonlinearity, we find that
${\\mathcal{P}}_{NL}$
contains and is generally greater than
${\\mathcal{P}}_{L}$
. Thus
${\\mathcal{P}}_{L}$
provides a (conservative) estimate of
${\\mathcal{P}}_{NL}$
when the underlying wave field is not known.
