TY - JOUR
T1 - A numerical calculation for internal waves over topography
AU - Kakinuma, Taro
AU - Ochi, Naoto
AU - Yamashita, Kei
AU - Nakayama, Keisuke
N1 - Funding Information:
This work was supported by JSPS Grant-in-Aid for both Scientific Research (B) Grant Number JP17H02856, and Scientific Research (C) Grant Number JP17K06585.
Publisher Copyright:
© 2018 American Society of Civil Engineers (ASCE). All rights reserved.
PY - 2018
Y1 - 2018
N2 - The internal waves propagating from the deep to shallow, and the shallow to deep, areas in the two-layer fluid systems, have been numerically simulated by solving the set of nonlinear equations, based on the variational principle in consideration of both the strong nonlinearity and strong dispersion of internal waves. The incident wave in the deep area, is the BO-type downward convex internal wave, which is the numerical solution obtained for the present fundamental equations. In the cases where the interface elevation is below, or equal to, the critical level in the shallow area, the disintegration of the internal waves occurs remarkably, leading to a long wave train. The lowest elevation of the interface, increases after its gradual decrease in the shallow area, where the interface is above the critical level, while the lowest elevation of the interface, increases through the internal-wave propagation in the shallow area, where the interface elevation is below, or equal to, the critical level, after its steep decrease around the boundary between the area over the upslope, and the shallow region.
AB - The internal waves propagating from the deep to shallow, and the shallow to deep, areas in the two-layer fluid systems, have been numerically simulated by solving the set of nonlinear equations, based on the variational principle in consideration of both the strong nonlinearity and strong dispersion of internal waves. The incident wave in the deep area, is the BO-type downward convex internal wave, which is the numerical solution obtained for the present fundamental equations. In the cases where the interface elevation is below, or equal to, the critical level in the shallow area, the disintegration of the internal waves occurs remarkably, leading to a long wave train. The lowest elevation of the interface, increases after its gradual decrease in the shallow area, where the interface is above the critical level, while the lowest elevation of the interface, increases through the internal-wave propagation in the shallow area, where the interface elevation is below, or equal to, the critical level, after its steep decrease around the boundary between the area over the upslope, and the shallow region.
KW - Disintegration
KW - Internal wave
KW - Nonlinear wave
KW - Topography
KW - Two-layer system
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M3 - Conference article
AN - SCOPUS:85074076334
VL - 36
JO - Proceedings of the Coastal Engineering Conference
JF - Proceedings of the Coastal Engineering Conference
SN - 0161-3782
IS - 2018
T2 - 36th International Conference on Coastal Engineering, ICCE 2018
Y2 - 30 July 2018 through 3 August 2018
ER -