Journal of Ocean Engineering and Technology (한국해양공학회지)

Korean Society of Ocean Engineers (한국해양공학회)
권호 표지

Efficient Iterative Solvers for Modified Mild Slope Equation

수정완경사방정식을 위한 반복기법의 효율성 비교

  • Yoon, Jong-Tae (Department of Civil Engineering, Kyungsung University) ;
  • Park, Seung-Min (Department of Civil Engineering, Kyungsung University)
  • 윤종태 (경성대학교 토목공학과) ;
  • 박승민 (경성대학교 토목공학과)
  • Published : 2006.12.30
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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

References

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