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A study of two new splitting methods for the gravity part of the shallow water equations
 

Summary: A study of two new splitting methods for the
gravity part of the shallow water equations
Helge Avlesen
22 January 1998
Abstract
In this report two new splitting methods for the gravity part of the
shallow water equations are studied. The aim of the methods is to bet-
ter cope with irregular boundaries than traditional dimensional splitting
methods. The proposed methods are implemented and tested in a model
problem with a closed channel geometry rst described in a work by T.J.
Weare [9].
1

1 Introduction
The shallow water equations is a simple but important set of equations that
can give surprisingly correct results for large scale oceanographic quantities
like transports and surface elevation. The main use of these equations is as a
part of complex hydrostatic 3d ocean models, where the aim is to predict the
dynamics of the surface gravity waves. Furthermore it is also an attractive set
of equations for local area, high resolution computations of tides and uxes. We

  

Source: Avlesen, Helge - Bergen Center for Computational Science, Universitetet i Bergen

 

Collections: Geosciences