Engineering with Computers

, Volume 17, Issue 4, pp 354–362 | Cite as

Estimation of the Truncation Error for the Linearized, Shallow Water Momentum Equations

  • S. C. Hagen

Abstract.

Partial derivative terms of the truncation error series associated with the non-conservative momentum equa-tions for tidal flow are examined. The examination is perfor-med 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 velo-cities 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.

Keywords. Localized truncation error analysis; Shallow water equations; Tidal computations; Unstructured mesh generation 

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Copyright information

© Springer-Verlag London Limited 2001

Authors and Affiliations

  • S. C. Hagen
    • 1
  1. 1.Department of Civil and Environmental Engineering, University of Central Florida, Orlando, FL, USAUS

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