Title

2D unstructured mesh generation for oceanic and coastal tidal models from a localized truncation error analysis with complex derivatives

Authors

Authors

D. M. Parrish;S. C. Hagen

Comments

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Abbreviated Journal Title

Int. J. Comput. Fluid Dyn.

Keywords

localized truncation error analysis; unstructured mesh generation; shallow water equations; tidal computations; complex derivatives; Western North Atlantic tidal model domain; SHALLOW-WATER EQUATIONS; VELOCITY; CURRENTS; DOMAIN; GRIDS; TIDES; Mechanics; Physics, Fluids & Plasmas

Abstract

A method for computing target element size for tidal, shallow water flow is developed and demonstrated. The method, Localized truncation error analysis with complex derivatives (LTEA-CD) utilizes localized truncation error estimates of the linearized shallow water momentum equations consisting of complex derivative terms. This application of complex derivatives is the chief way in which the method differs from a similar existing method, LTEA. It is shown that LTEA-CD produces results that are essentially equivalent to those of LTEA (which in turn has been demonstrated to be capable of producing practicable target element sizes) with reduced computational cost. Moreover, LTEA-CD is capable of computing truncation error and corresponding target element sizes at locations up to and including the boundary, whereas LTEA can be applied only on the interior of the model domain. We demonstrate the convergence of solutions over meshes generated with LTEA-CD using an idealized representation of the western North Atlantic Ocean, Caribbean Sea and Gulf of Mexico.

Journal Title

International Journal of Computational Fluid Dynamics

Volume

21

Issue/Number

7-8

Publication Date

1-1-2007

Document Type

Article

Language

English

First Page

277

Last Page

296

WOS Identifier

WOS:000251087500004

ISSN

1061-8562

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