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

In: Modeling, Simulation and Optimization of Complex Processes

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  • Nguyen The Hung

    (University of Danang, Department of Water Resources Engineering)

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.

Suggested Citation

  • Nguyen The Hung, 2005. "A Two-Stage, High-Accuracy, Finite Element Technique of the Two Dimensional Horizontal Flow Model," Springer Books, in: Hans Georg Bock & Hoang Xuan Phu & Ekaterina Kostina & Rolf Rannacher (ed.), Modeling, Simulation and Optimization of Complex Processes, pages 225-233, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-27170-3_18
    DOI: 10.1007/3-540-27170-8_18
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