Mathematical Modelling of Estuarine Physics: Proceedings of by W. Krauss (auth.), Jürgen Sündermann, Klaus-Peter Holz

By W. Krauss (auth.), Jürgen Sündermann, Klaus-Peter Holz (eds.)

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Extra resources for Mathematical Modelling of Estuarine Physics: Proceedings of an International Symposium Held at the German Hydrographic Institute Hamburg, August 24–26, 1978

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Abbott Reader, International Institute for Hydraulic and Environmental Engineering, Oude Delft 95, Delft, The Netherlands and Head, Computational Hydraulic Centre, Danish Hydraulic Institute, Agern Alle 5, 2970 H~rsholm, Denmark 1. The Description Problem: Time. Space and ~1easures The first objective of numerical modelling is to describe some aspect of real world behaviour in terms of numbers and operations on numbers. The second objective is to make this description in such a way that the value of the information made available through the modelling process is greater than the cost of the modelling process itself.

FV. 4) in which the latter term is now in a simple form for numerical treatment. Other transformations with the same effect can be envisaged. Figure 9 shows an application of quasi-steady sediment-transport for a trench, dredged across the Western ScheIdt estuary. The tidal flow is schematized into some blocks giving the correct total transpor t. Ai though a qui te crude numer ical method is used, transport rates and corresponding 47 rates of sedim~ntation appear to be very reasonable. Further details can be found in the original reference (Kerssens, van Rijn, 1977).

Figure 3 i a Three possibilities for computation of surface and internal waves Both wave types are treated by the leap-frog method on a common grid. 07. The number of grid points Ns per surface wave length will be about 10 times the corresponding number Ni for internal waves, which means that the surface waves are computed to a much higher accuracy than the internal waves. ii Internal waves are computed explicitly at 0i as ~ 7. 7; surface waves implicitly at 10 Ni so that some unbalance in accuracy remains, although this method is more efficient than the preceding one (Parot, 1976).

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