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Numerical accuracy in the solution of the shallow-water equations

For historical reasons computer simulations (e.g. Delft3D∗) are still computed in single precision, while at the same time the size and the complexity of the problems have increased. (Differences appear between results calculated on different computer platforms.) The aim of this research is to determine the influence of finite machine precision and problem size on the accuracy of the results. Therefore, proposals for possible improvements, like increasing the machine precision and row scaling, are tested. Furthermore, unstable behaviour appeared in some cases. Investigation led to the conclusion that the 3D model is conditionally stable in contrary to the 2D model, which is unconditionally stable.