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Electronic Theses and Dissertations

2007

Complex derivatives

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Target Element Sizes For Finite Element Tidal Models From A Domain-Wide, Localized Truncation Error Analysis Incorporating Botto, Denwood Parrish Jan 2007

Target Element Sizes For Finite Element Tidal Models From A Domain-Wide, Localized Truncation Error Analysis Incorporating Botto, Denwood Parrish

Electronic Theses and Dissertations

A new methodology for the determination of target element sizes for the construction of finite element meshes applicable to the simulation of tidal flow in coastal and oceanic domains is developed and tested. The methodology is consistent with the discrete physics of tidal flow, and includes the effects of bottom stress. The method enables the estimation of the localized truncation error of the nonconservative momentum equations throughout a triangulated data set of water surface elevation and flow velocity. The method's domain-wide applicability is due in part to the formulation of a new localized truncation error estimator in terms of complex …