The Behavior of Partial Derivatives From a Truncation Error Analysis Of Shallow Water Equations of Momentum
Hagen, Scott C.
Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.317-323, October 2000
9th International Meshing Roundtable
October 2-5, 2000, New Orleans, Louisiana USA
Scott C. Hagen
University of Central Florida, Orlando, FL., U.S.A.
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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