MODELLING OF WAVE PROPAGATION IN THE NEARSHORE REGION USING THE MILD SLOPE EQUATION WITH GMRES-BASED ITERATIVE SOLVERS

✍ Scribed by Y. ZHAO; K. ANASTASIOU

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 649 KB
• Volume: 23
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(19960830)23:4<397::aid-fld428>3.0.co;2-7

✦ Synopsis

The mild slope equation in its linear and non-linear forms is used for the modelling of nearshore wave propagation. The finite difference method is used to descretize the governing elliptic equations and the resulting system of equations is solved using GMRES-based iterative method. The original GMRES solution technique of S a d and Schultz is not directly applicable to the present case owing to the complex coefficient matrix. The simpler GMRES algorithm of Walker and Zhou is used as the core solver, making the upper Hessenberg factorization unneccessary when solving the least squares problem. Several preconditioning-based acceleration strategies are tested and the results show that the GMRES-based iteration scheme performs very well and leads to monotonic convergence for all the test-cases considered. UY W O R M GMRES; mild slope equation; iterative solvers 4 = exp(+)* (4)