A Two-Stage, High-Accuracy, Finite Element Technique of the Two Dimensional Horizontal Flow Model

Nguyen The Hung ()
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Nguyen The Hung: University of Danang, Department of Water Resources Engineering

A chapter in Modeling, Simulation and Optimization of Complex Processes, 2005, pp 225-233 from Springer

Abstract: Summary An algorithm and essential subroutines are presented which implement a two stage finite element Galerkin method for integrating the complete two dimensional horizontal flow model. In the method a high accuracy is obtained by combining the Galerkin product with a high-order difference approximation to the derivatives in the nonlinear advection operator. The program includes the use of a weighted selective lumping scheme in the finite element method and the use of the Gauss — Seidel iterative method for solving the resulting systems of linear equations. Small scale noise is eliminated by using a shuman filter.

Keywords: Mathematical Modeling; Finite Element Method; Linear Equation; Iterative Method; Industrial Mathematic (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27170-3_18

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DOI: 10.1007/3-540-27170-8_18

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