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

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Modeling, Simulation and Optimization of Complex Processes
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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.

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© 2005 Springer-Verlag Berlin Heidelberg

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Hung, N.T. (2005). A Two-Stage, High-Accuracy, Finite Element Technique of the Two Dimensional Horizontal Flow Model. In: Bock, H.G., Phu, H.X., Kostina, E., Rannacher, R. (eds) Modeling, Simulation and Optimization of Complex Processes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27170-8_18

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