Second-order partial standing wave solution for a sloping bottom

Meng Syue Li, Qingping Zou, Yang Yih Chen, Hung Chu Hsu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents a second-order asymptotic solution in Lagrangian description for a nonlinear partial standing wave over a sloping bottom. The particle trajectories are obtained as a function of the nonlinear ordering parameters, wave steepness s and the bottom slope a, to the second order. The analytical Lagrangian solution assumes irrotational flow and satisfies the boundary condition of constant pressurep = 0 at the free surface. This solution is applicable to progressive, standing and partial standing waves, shoaling from deep to shallow water. Mass transport and particle trajectory nonlinear partial standing waves on a sloping bottom are investigated using the closed form Lagrangian wave solution.

Original languageEnglish
Title of host publicationProceedings of the 34th International Conference on Coastal Engineering
PublisherCoastal Engineering Research Council
ISBN (Electronic)9780989661126
DOIs
Publication statusPublished - 2014
Event34th International Conference on Coastal Engineering 2014 - Seoul, Korea, Republic of
Duration: 15 Jun 201420 Jun 2014

Publication series

NameCoastal Engineering Proceedings
Number34
ISSN (Electronic)2156-1028

Conference

Conference34th International Conference on Coastal Engineering 2014
Abbreviated titleICCE 2014
CountryKorea, Republic of
CitySeoul
Period15/06/1420/06/14

Fingerprint

standing wave
trajectory
mass transport
Trajectories
shallow water
boundary condition
Mass transfer
Boundary conditions
particle
Water

Keywords

  • Lagrangian solution
  • Mass transport
  • Nonlinear waves
  • Partial standing wave
  • Particle trajectory
  • Sloping bottom

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Ocean Engineering
  • Oceanography

Cite this

Li, M. S., Zou, Q., Chen, Y. Y., & Hsu, H. C. (2014). Second-order partial standing wave solution for a sloping bottom. In Proceedings of the 34th International Conference on Coastal Engineering (Coastal Engineering Proceedings; No. 34). Coastal Engineering Research Council. https://doi.org/10.9753/icce.v34.waves.46
Li, Meng Syue ; Zou, Qingping ; Chen, Yang Yih ; Hsu, Hung Chu. / Second-order partial standing wave solution for a sloping bottom. Proceedings of the 34th International Conference on Coastal Engineering. Coastal Engineering Research Council, 2014. (Coastal Engineering Proceedings; 34).
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Li, MS, Zou, Q, Chen, YY & Hsu, HC 2014, Second-order partial standing wave solution for a sloping bottom. in Proceedings of the 34th International Conference on Coastal Engineering. Coastal Engineering Proceedings, no. 34, Coastal Engineering Research Council, 34th International Conference on Coastal Engineering 2014, Seoul, Korea, Republic of, 15/06/14. https://doi.org/10.9753/icce.v34.waves.46

Second-order partial standing wave solution for a sloping bottom. / Li, Meng Syue; Zou, Qingping; Chen, Yang Yih; Hsu, Hung Chu.

Proceedings of the 34th International Conference on Coastal Engineering. Coastal Engineering Research Council, 2014. (Coastal Engineering Proceedings; No. 34).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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T1 - Second-order partial standing wave solution for a sloping bottom

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AU - Hsu, Hung Chu

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N2 - This paper presents a second-order asymptotic solution in Lagrangian description for a nonlinear partial standing wave over a sloping bottom. The particle trajectories are obtained as a function of the nonlinear ordering parameters, wave steepness s and the bottom slope a, to the second order. The analytical Lagrangian solution assumes irrotational flow and satisfies the boundary condition of constant pressurep = 0 at the free surface. This solution is applicable to progressive, standing and partial standing waves, shoaling from deep to shallow water. Mass transport and particle trajectory nonlinear partial standing waves on a sloping bottom are investigated using the closed form Lagrangian wave solution.

AB - This paper presents a second-order asymptotic solution in Lagrangian description for a nonlinear partial standing wave over a sloping bottom. The particle trajectories are obtained as a function of the nonlinear ordering parameters, wave steepness s and the bottom slope a, to the second order. The analytical Lagrangian solution assumes irrotational flow and satisfies the boundary condition of constant pressurep = 0 at the free surface. This solution is applicable to progressive, standing and partial standing waves, shoaling from deep to shallow water. Mass transport and particle trajectory nonlinear partial standing waves on a sloping bottom are investigated using the closed form Lagrangian wave solution.

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Li MS, Zou Q, Chen YY, Hsu HC. Second-order partial standing wave solution for a sloping bottom. In Proceedings of the 34th International Conference on Coastal Engineering. Coastal Engineering Research Council. 2014. (Coastal Engineering Proceedings; 34). https://doi.org/10.9753/icce.v34.waves.46