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Abstract
North Sea storm surges with water levels of 4 to 5 m NN (German ordnance datum) are
annually recurring events that are dealt with by the official prediction services. The subject of
this study is the behaviour of a hypothetical tsunami of comparable height traversing a wide,
shallow shelf. The period of a tsunami ranges between that of wind waves and that of the
semidiurnal tide dominating in the North Sea. Analytical wave theories, which have been
developed for sea and swell, do not describe tsunami completely. Numerical models used to
forecast storm surges are suitable in principle to simulate the propagation of medium-length
waves in the North Sea. This mainly requires an adaptation of grid spacing to the shorter
wave lengths. As an example, the propagation of three positive signals with a period of
1800 s, which is typical of tsunami caused by slope failure, and wave heights of 5 to 8 m, has
been simulated. Models of this type have limited applicability on the continental slope and
are not suitable for near-shore areas. Despite all restrictions regarding the analytical
estimations and numerical simulations used, the conclusion appears justified that
significantly less wave energy would be present in the German Bight after a hypothetical
tsunami has crossed the wide and shallow shelf of the North Sea than be the case on a
coast with a steep, narrow shelf that was hit by a comparable tsunami.