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Application of finite-difference methods to estuary problems
Vreugdenhil, C.B. (1980). Application of finite-difference methods to estuary problems, in: Sündermann, J. et al. Mathematical modelling of estuarine physics: proceedings of an International Symposium held at the German Hydrographic Institute Hamburg, August 24-26, 1978. Lecture Notes on Coastal and Estuarine Studies, 1: pp. 32-49
In: Sündermann, J.; Holz, K.-P. (1980). Mathematical modelling of estuarine physics: proceedings of an International Symposium held at the German Hydrographic Institute Hamburg, August 24-26, 1978. Lecture Notes on Coastal and Estuarine Studies, 1. Springer-Verlag: Berlin, German. ISBN 0-540-09750-3. VIII, 265 pp., more
In: Barber, R.T. et al. Lecture Notes on Coastal and Estuarine Studies. Springer: Paris; London; Heidelberg; Tokyo; Berlin; New York. ISSN 0724-5890, more

Available in  Author 
    VLIZ: Proceedings [32013]
Document type: Conference paper

Keywords
    Estuaries; Finite difference method; Mathematical models; Marine; Brackish water

Author  Top 
  • Vreugdenhil, C.B.

Abstract
    A variety of mathematical-physical problems is met in the study of estuarine physics. There is no 'universal' method to solve all of them and ad-hoc considerations play a part in the choice and elaboration of numerical methods. This does not preclude, however, that some basic issues must be considered for each method. They can be combined under the heading of accuracy. Such considerations are certainly not restricted to finite-difference methods. Some examples are given, concerning: wave propagation in hyperbolic systems; representation of flow patterns; parabolic systems; and treatment of boundaries, particularly fixed walls. Some current research projects will be used to illustrate the above-mentioned subjects: two-layer flow in two horizontal dimensions, to be used, e.g., for salt intrusion in an estuary; a vertically two-dimensional model of tidal flow in an estuary, either or not taking density stratification into account; and a vertically two-dimensional quasi-steady model of suspended sediment transport, to be used, e.g., for the study of sedimentation of dredged trenches in a tidal region.

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