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Efficient Iterative Solvers for Modified Mild Slope Equation  

Yoon, Jong-Tae (Department of Civil Engineering, Kyungsung University)
Park, Seung-Min (Department of Civil Engineering, Kyungsung University)
Publication Information
Journal of Ocean Engineering and Technology / v.20, no.6, 2006 , pp. 61-66 More about this Journal
Abstract
Two iterative solvers are applied to solve the modified mild slope equation. The elliptic formulation of the governing equation is selected for numerical treatment because it is partly suited for complex wave fields, like those encountered inside harbors. The requirement that the computational model should be capable of dealing with a large problem domain is addressed by implementing and testing two iterative solvers, which are based on the Stabilized Bi-Conjugate Gradient Method (BiCGSTAB) and Generalized Conjugate Gradient Method (GCGM). The characteristics of the solvers are compared, using the results for Berkhoff's shoal test, used widely as a benchmark in coastal modeling. It is shown that the GCGM algorithm has a better convergence rate than BiCGSTAB, and preconditioning of these algorithms gives more than half a reduction of computational cost.
Keywords
Modified mild slope equation; Generalized conjugate gradient method; Bi-conjugate gradient method; Preconditoning; Wave transformation;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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