An efficient semi-implicit finite element scheme for two-dimensional tidal flow computations

L. G. Chen, Yok Sheung Li, K. K. Wong

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)


A semi-implicit finite element scheme is proposed for two-dimensional tidal flow computations. In the scheme, each term of the governing equations, rather than each dependent variable, is expanded in terms of the unknown nodal values and it helps to reduce computer execution time. The friction terms are represented semi-implicitly to improve stability, but this requires no additional computational effort. Test cases where analytic solutions have been obtained for the shallow water equations are employed to test the proposed scheme and the test results show that the scheme is efficient and stable. An numerical experiment is also included to compare the proposed scheme with another finite element scheme employing Serendipity-type Hermitian cubic basis functions. A numerical model of an actual bay is constructed based on the proposed scheme and computed tidal flows bear close resemblance to flows measured in field survey.
Original languageEnglish
Pages (from-to)161-173
Number of pages13
JournalComputational Mechanics
Issue number2-3
Publication statusPublished - 1 Mar 1989

ASJC Scopus subject areas

  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics


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