Estimation Of The Truncation Error For The Linearized, Shallow Water Momentum Equations
Localized truncation error analysis; Shallow water equations; Tidal computations; Unstructured mesh generation
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.
Engineering with Computers
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Hagen, S. C., "Estimation Of The Truncation Error For The Linearized, Shallow Water Momentum Equations" (2001). Scopus Export 2000s. 76.