TY - JOUR
T1 - Nonlinear model for wave propagation
AU - Tsay, Ting Kuei
AU - Liu, Philip L.F.
AU - Wu, Nan Jing
PY - 1997
Y1 - 1997
N2 - Employing the Hamitonian theory, the canonical equations of water waves is used to derive a nonlinear model. In this paper, a unified non-linear model for water wave propagation is presented. This model can be simplified to the mild-slope equation in the linear case. It is consistent with Stokes wave theory when water depth is deep and reduces to an equation of Boussinesq's type in shallow waters. Results of numerical computations of nonlinear water waves propagating over a submerged bar and a rectangular step are also presented in one-dimensional case. Nonlinear behaviors of water waves are captured, but further works are needed.
AB - Employing the Hamitonian theory, the canonical equations of water waves is used to derive a nonlinear model. In this paper, a unified non-linear model for water wave propagation is presented. This model can be simplified to the mild-slope equation in the linear case. It is consistent with Stokes wave theory when water depth is deep and reduces to an equation of Boussinesq's type in shallow waters. Results of numerical computations of nonlinear water waves propagating over a submerged bar and a rectangular step are also presented in one-dimensional case. Nonlinear behaviors of water waves are captured, but further works are needed.
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M3 - Conference article
AN - SCOPUS:0030648054
SN - 0893-8717
VL - 1
SP - 589
EP - 601
JO - Proceedings of the Coastal Engineering Conference
JF - Proceedings of the Coastal Engineering Conference
T2 - Proceedings of the 1996 25th International Conference on Coastal Engineering. Part 1 (of 4)
Y2 - 2 September 1996 through 6 September 1996
ER -