수정완경사방정식을 위한 반복기법의 효율성 비교

• Published in: Han-guk haeyang gonghak hoeji (Online) Vol. 20; no. 6; pp. 61 - 66
• Main Authors: 윤종태(JONG-TAE YOON), 박승민(SEUNG-MIN PARK)
• Format: Journal Article
• Language: Korean
• Published: 한국해양공학회 2006
• Subjects: 해양공학; Modified mild slope equation 수정완경사방정식; Wave transformation 파랑변형; Generalized conjugate gradient method 일반공액경사법; Bi-conjugate gradient method 양공액경사안정법; Preconditoning 전처리
• ISSN: 1225-0767; 2287-6715

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.