Title

Estimation Of The Truncation Error For The Linearized, Shallow Water Momentum Equations

Keywords

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

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.

Publication Date

12-1-2001

Publication Title

Engineering with Computers

Volume

17

Issue

4

Number of Pages

354-362

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s366-001-8301-z

Socpus ID

0035744537 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0035744537

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