Finite element modeling of nonlinear wave transformation using elliptic mild slope equation

A. Sharma, Vijay Panchang

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

Abstract

Accurate modeling of nonlinear wave transformation is important for studies related to harbor and nearshore design. While sophisticated finite-element models based on the elliptic mild-slope equation are often used for wave prediction, they do not include wave-wave interactions. These interactions, in general, involve transfer of energy and wave phase coupling among spectral components and are known to be quite significant especially in shoaling regions and inside harbors. To overcome this limitation, and to provide a basis for the effective modeling of nonlinear wave transformation in complex coastal and harbor environments, the development of a finite-element model based on the second-order nonlinear mild-slope equation of Kaihatu and Kirby (1995) is considered. The model uses an iterative procedure for solving the second-order boundary value problem. To ensure effective boundary treatment, a combination of frequently-used boundary conditions and the method of internal wave generation is used. Two cases involving nonlinear shoaling and harbor resonance are considered for model validation. Modeled results are compared with experimental data, and good agreement is observed in most cases. The methodology described in this paper can improve the applicability of existing finite-element based mild-slope models.

Original languageEnglish
Title of host publicationProceedings of the 34th International Conference on Coastal Engineering, ICCE 2014
PublisherAmerican Society of Civil Engineers (ASCE)
Volume2014-January
ISBN (Electronic)9780989661126
Publication statusPublished - 2014
Externally publishedYes
Event34th International Conference on Coastal Engineering, ICCE 2014 - Seoul, Korea, Republic of
Duration: 15 Jun 201420 Jun 2014

Other

Other34th International Conference on Coastal Engineering, ICCE 2014
CountryKorea, Republic of
CitySeoul
Period15/6/1420/6/14

Fingerprint

nonlinear wave
harbor
Ports and harbors
modeling
wave-wave interaction
wave generation
model validation
internal wave
boundary condition
methodology
Boundary value problems
prediction
energy
Boundary conditions

Keywords

  • Harbor resonance
  • Nonlinear mild-slope equation
  • Triad wave inteactions

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Ocean Engineering
  • Oceanography

Cite this

Sharma, A., & Panchang, V. (2014). Finite element modeling of nonlinear wave transformation using elliptic mild slope equation. In Proceedings of the 34th International Conference on Coastal Engineering, ICCE 2014 (Vol. 2014-January). American Society of Civil Engineers (ASCE).

Finite element modeling of nonlinear wave transformation using elliptic mild slope equation. / Sharma, A.; Panchang, Vijay.

Proceedings of the 34th International Conference on Coastal Engineering, ICCE 2014. Vol. 2014-January American Society of Civil Engineers (ASCE), 2014.

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

Sharma, A & Panchang, V 2014, Finite element modeling of nonlinear wave transformation using elliptic mild slope equation. in Proceedings of the 34th International Conference on Coastal Engineering, ICCE 2014. vol. 2014-January, American Society of Civil Engineers (ASCE), 34th International Conference on Coastal Engineering, ICCE 2014, Seoul, Korea, Republic of, 15/6/14.
Sharma A, Panchang V. Finite element modeling of nonlinear wave transformation using elliptic mild slope equation. In Proceedings of the 34th International Conference on Coastal Engineering, ICCE 2014. Vol. 2014-January. American Society of Civil Engineers (ASCE). 2014
Sharma, A. ; Panchang, Vijay. / Finite element modeling of nonlinear wave transformation using elliptic mild slope equation. Proceedings of the 34th International Conference on Coastal Engineering, ICCE 2014. Vol. 2014-January American Society of Civil Engineers (ASCE), 2014.
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