Title

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

Authors

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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