Estimation of the truncation error for the linearized, shallow water momentum equations

    Authors

    S. C. Hagen

    Comments

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    Abbreviated Journal Title

    Eng. Comput.

    Keywords

    localized truncation error analysis; shallow water equations; tidal; computations; unstructured mesh generation; GRIDS; Computer Science, Interdisciplinary Applications; Engineering, ; Mechanical

    Abstract

    Partial derivative terms of the truncation error series associated with the non-conservative momentum equations for tidal flow are examined. The examination is performed to investigate the dominance of individual terms of the truncation error series in general, and for a particular case (e.g. the Gulf of Mexico). Results show that gradients in surface elevation are more dominant than gradients in velocities for a simplified case of tidal flow. In addition, it is shown that the magnitude of individual terms within the truncation error series are dependent on element configuration and shape, and that the leading second-order terms are not always dominant when element shape is skewed.

    Journal Title

    Engineering with Computers

    Volume

    17

    Issue/Number

    4

    Publication Date

    1-1-2001

    Document Type

    Article

    Language

    English

    First Page

    354

    Last Page

    362

    WOS Identifier

    WOS:000172993200002

    ISSN

    0177-0667

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