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A fully implicit splitting method for accurate tidal computations

✍ Scribed by P. Wilders; Th. L. van Stijn; G. S. Stelling; G. A. Fokkema

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
700 KB
Volume
26
Category
Article
ISSN
0029-5981

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✦ Synopsis

Often industrial codes for the numerical integration of the 2D shallow water equations are based on an Alternating Direction Implicit method. However, for large time steps these codes suffer from inaccuracies when dealing with a complex geometry or bathymetry. This reduces the performance considerably. In this paper a new method is presented in which these inaccuracies are absent, even for large time steps. The method is a fully implicit time integration method. In order to obtain linear systems that can be solved efficiently, we introduce a time splitting method. The resulting linear systems are solved iteratively by using the preconditioned Conjugate Gradients Squared method.

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