A split operator scheme for ocean wave simulation

Chi Wai Li

Research output: Journal article publicationJournal articleAcademic researchpeer-review

7 Citations (Scopus)


A coupled discrete spectral model was developed for the prediction of ocean waves by solving the energy conservation equation of the two‐dimensional wave spectrum. The model includes the dispersion correction terms in the governing equation to account for the dispersive effect due to the frequency‐dependent velocities of waves. A split operator scheme is used to deal with the numerical problems arising from different terms of the governing equation. The advection terms are solved by the proven accurate minimax characteristics method to avoid excessive numerical damping or oscillations. The dispersion correction terms are solved by central differencing. The source and sink terms are solved by a quasi‐second‐order explicit scheme with limitation on energy growth per time step to allow the use of a large time step. The model was verified by ideal test cases and wave‐hindcasting studies under typhoon conditions in the South China Sea near Hong Kong.
Original languageEnglish
Pages (from-to)579-593
Number of pages15
JournalInternational Journal for Numerical Methods in Fluids
Issue number5
Publication statusPublished - 1 Jan 1992


  • Method of characteristics
  • Ocean waves
  • Split operator scheme
  • Wave spectrum

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics


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