Numerical modeling of nonlinear wave transformation using elliptic mild slope equation

Abhishek Sharma, Vijay Panchang, James M. Kaihatu

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

Abstract

Elliptic mild slope equation based models are widely used to compute wavefields in regions of complex, arbitrarily varying topography and geometry. They are used in applications involving wave reflection, diffraction, refraction, nearshore breaking and frictional dissipation. However, these are based on linear wave theory; therefore, nonlinear interactions among frequency components are ignored. In this study, a modified form of the nonlinear elliptic mild-slope equation is used to numerically model the nonlinear wave transformation. The Alternating Direction Implicit (ADI) scheme is employed to solve the equation with appropriate boundary conditions. The nonlinear energy transfer among frequency components, are modeled in the presence of wave reflection, diffraction, refraction, etc. In addition, transformation of wave spectra is studied by incorporating the effects of wave breaking. The computations are compared with the laboratory data and other results. Overall the model performs reasonably well and has improved applicability in comparison to the mild slope models based on parabolic approximation.

Original languageEnglish
Title of host publicationProceedings of the 23rd International Offshore and Polar Engineering Conference, ISOPE 2013
Pages1061-1067
Number of pages7
Publication statusPublished - 2013
Externally publishedYes
Event23rd International Offshore and Polar Engineering Conference, ISOPE 2013 - Anchorage, AK, United States
Duration: 30 Jun 20135 Jul 2013

Other

Other23rd International Offshore and Polar Engineering Conference, ISOPE 2013
CountryUnited States
CityAnchorage, AK
Period30/6/135/7/13

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Keywords

  • Coasts and harbors
  • Mild-slope equation
  • Multiple-scale analysis
  • Wave-wave interactions

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Ocean Engineering
  • Mechanical Engineering

Cite this

Sharma, A., Panchang, V., & Kaihatu, J. M. (2013). Numerical modeling of nonlinear wave transformation using elliptic mild slope equation. In Proceedings of the 23rd International Offshore and Polar Engineering Conference, ISOPE 2013 (pp. 1061-1067)