TY - GEN
T1 - Examination on errors of two simplified models for simulating weakly spreading seas
AU - Wang, Jinghua
AU - Ma, Q. W.
AU - Yan, S.
N1 - Funding Information:
The authors acknowledge the support of EPSRC, UK (EP/N006569/1, EP/N008863/1 and EP/M022382/1) and DST-UKIERI project (DSTUKIERI-2016-17-0029). The first author also thanks the support of NSFC, China (No. 51379195).
Publisher Copyright:
Copyright © 2018 by the International Society of Offshore and Polar Engineers (ISOPE)
PY - 2018
Y1 - 2018
N2 - Numerical phase-resolved modelling of random waves on large spatiotemporal scale, meanwhile considering sufficient nonlinearities, is very essential to gain insight of the nonlinear wave-wave interaction process and the mechanism of the so-called rogue waves. To do that, it has been shown that two simplified models, i.e., the fifth order Enhanced Non-Linear Schrödinger Equation (short as ENSLE-5F) and the Quasi-Spectral Boundary Integral (short as QSBI) method, are good alternatives to the fully nonlinear approaches, when the wave steepness is small and/or the spectral bandwidth is narrow [Wang, J., Ma, Q. and Yan, S., 2017. On quantitative errors of two simplified unsteady models for simulating unidirectional nonlinear random waves on large scale in deep sea. Physics of Fluids, 29(6), 067107.]. A criterion for selecting the most efficient model which can achieve sufficient accuracy is proposed in their paper. Furthermore, the errors of the two simplified models for simulating unidirectional waves can be predicted before performing the simulations by using the suggested formulas, if the wave steepness and spectral bandwidth are known in advance. In this paper, the suitability of extending the criterion and the formulas to weakly spreading seas will be explored. It is found that they are not restricted to unidirectional waves, but can also be applied to spreading seas. In addition, the maximum spreading angle for using the criterion or the formulas is presented.
AB - Numerical phase-resolved modelling of random waves on large spatiotemporal scale, meanwhile considering sufficient nonlinearities, is very essential to gain insight of the nonlinear wave-wave interaction process and the mechanism of the so-called rogue waves. To do that, it has been shown that two simplified models, i.e., the fifth order Enhanced Non-Linear Schrödinger Equation (short as ENSLE-5F) and the Quasi-Spectral Boundary Integral (short as QSBI) method, are good alternatives to the fully nonlinear approaches, when the wave steepness is small and/or the spectral bandwidth is narrow [Wang, J., Ma, Q. and Yan, S., 2017. On quantitative errors of two simplified unsteady models for simulating unidirectional nonlinear random waves on large scale in deep sea. Physics of Fluids, 29(6), 067107.]. A criterion for selecting the most efficient model which can achieve sufficient accuracy is proposed in their paper. Furthermore, the errors of the two simplified models for simulating unidirectional waves can be predicted before performing the simulations by using the suggested formulas, if the wave steepness and spectral bandwidth are known in advance. In this paper, the suitability of extending the criterion and the formulas to weakly spreading seas will be explored. It is found that they are not restricted to unidirectional waves, but can also be applied to spreading seas. In addition, the maximum spreading angle for using the criterion or the formulas is presented.
KW - Fully Nonlinear Potential Theory
KW - Large Scale Simulation
KW - Non-Linear Schrödinger Equation
KW - Random Waves
KW - Spreading Seas
UR - http://www.scopus.com/inward/record.url?scp=85053462391&partnerID=8YFLogxK
M3 - Conference article published in proceeding or book
AN - SCOPUS:85053462391
SN - 9781880653876
T3 - Proceedings of the International Offshore and Polar Engineering Conference
SP - 1473
EP - 1480
BT - Proceedings of the 28th International Ocean and Polar Engineering Conference, ISOPE 2018
PB - International Society of Offshore and Polar Engineers
T2 - 28th International Ocean and Polar Engineering Conference, ISOPE 2018
Y2 - 10 June 2018 through 15 June 2018
ER -