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

Chu ping Chen, Yok Sheung Li

Research output: Journal article publicationJournal articleAcademic researchpeer-review


In a recent paper, an efficient semi-implicit finite element scheme for 2-dimensional tidal flow computations is proposed. In that scheme, each term of the governing equations, rather than each dependent variable, is expanded in terms of the unknown nodal values. Simpson's rule is used for numerical integration to make the mass matrix diagonal. The friction terms are represented semi-implicity to improve stability, but no additional computational effort is required. The shortcomings of this scheme are that the time-stepping scheme is only first-order accurate and artificial smoothing is required to control the numerical noise. In this paper, the previous scheme is improved by including the eddy viscosity terms in the governing equations to replace artificial smoothing in noise control and the time-stepping scheme is modified to make it second-order accurate. These improvements can be achieved with only a slight increase in computational effort. The test cases used previously to validate the former scheme are again employed to test the present scheme.
Original languageEnglish
Pages (from-to)56-65
Number of pages10
JournalJournal of Hydrodynamics
Issue number1
Publication statusPublished - 1 Jan 1991
Externally publishedYes

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes

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