The Behavior of Partial Derivatives From a Truncation Error Analysis Of Shallow Water Equations of Momentum

Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.317-323, October 2000

MESHING
RESEARCH
CORNER

Scott C. Hagen
University of Central Florida, Orlando, FL., U.S.A.
Email: shagen@mail.ucf.edu

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 in order 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 the aspect ratio of an element is changed.

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