Numerical modeling of multi-directional irregular waves incorporating 2-D numerical wave absorber and subgrid turbulence

J. M. Zhan, Yok Sheung Li, Wing Hong Onyx Wai

Research output: Journal article publicationJournal articleAcademic researchpeer-review

9 Citations (Scopus)


In this paper, a finite difference scheme with an efficient 2-D numerical wave absorber for solving the extended Boussinesq equations as derived by Nwogu (Nwogu, O., 1993. Alternative form of Boussinesq equations for nearshore wave propagation. J. Waterway, Port, Coastal and Ocean Engineering, ASCE 119, 618-638) is proposed. The alternate direction iterative method combined with an efficient predictor-corrector scheme are adopted for the numerical solution of the governing differential equations. To parameterize the contribution of unresolved small-scale motions, the philosophy of the large eddy simulation is applied on the horizontal plane. The proposed method is verified by two test cases where experimental data are available for comparison. The first case is wave diffraction around a semi-infinite breakwater studied by Briggs et al. (Briggs, M.J., Thompson, E.F., Vincent, C.L., 1995. Wave diffraction around breakwater. Journal of Waterway, Port, Coastal, and Ocean Engineering, ASCE 121, 23-35). The other case is wave concentration by a navigation channel as reported by Yu et al. (Yu, Y.-X., Liu, S.-X., Li, Y.S., Wai, O.W.H., 2000. Refraction and diffraction of random waves through breakwater. Ocean Engineering 27, 489-509). Numerical results agree very well with the corresponding experimental data in both cases.
Original languageEnglish
Pages (from-to)23-46
Number of pages24
JournalOcean Engineering
Issue number1
Publication statusPublished - 1 Jan 2003


  • 2-D numerical absorber
  • Extended Boussinesq equations
  • Finite difference scheme
  • Large eddy simulation
  • Tridiagonal system of equations

ASJC Scopus subject areas

  • Environmental Engineering
  • Ocean Engineering


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