Numerical modeling of Boussinesq equations by finite element method

Yok Sheung Li, S. X. Liu, Y. X. Yu, G. Z. Lai

Research output: Journal article publicationJournal articleAcademic researchpeer-review

92 Citations (Scopus)


In this paper, a numerical model based on the improved Boussinesq equations derived by Beji and Nadaoka is presented. The finite element method is used to discretize the spatial derivatives. Quadrilateral elements with linear interpolating functions are employed for the two horizontal velocity components and the water surface elevation. The time integration is performed using the Adams-Bashforth-Moulton predictor-corrector method. Five test cases for which either theoretical solutions or laboratory results are available are employed to test the proposed scheme. The model is capable of giving satisfactory predictions in all cases.
Original languageEnglish
Pages (from-to)97-122
Number of pages26
JournalCoastal Engineering
Issue number2
Publication statusPublished - 1 Jan 1999


  • Absorbing boundaries
  • Boussinesq equations
  • Finite element

ASJC Scopus subject areas

  • Environmental Engineering
  • Ocean Engineering


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