Summary
A study is made of a two-dimensional mathematical model of nonlinear wave propagation in a shallow tidal estuary using an unconditionally stable numerical scheme. The alternative direction implicit scheme is used to investigate the simulation of the flow pattern of the estuary, and to examine the effects of the changes in the bed topography either due to dredging or due to construction of spurs and guidewalls in tidal flows. The Coriolis force due to rotation of the earth is taken into account in the present two-dimensional model. It is shown that the Coriolis force is responsible for the existence of the transverse component of the flow field. The proposed theoretical model is applied to investigate the flow structure in the Hooghly estuary. The computed results are then compared with the observed values in the Hooghly estuary. A stability analysis of the alternative direction implicit scheme is also included.
Zusammenfassung
Es wird ein zweidimensionales mathematisches Modell für die nichtlineare Wellenausbreitung in einer Flachwasserflußmündung mit Gezeiten erarbeitet, das ein stabiles numerisches Verfahren benutzt. Es wird ein implizites Verfahren (alternative direction) gebraucht, um die topographischen Einflüsse des Flußbettes zu simulieren. Die Corioliskraft als Folge der Erddrehung wird bei diesem zweidimensionalen Modell ebenfalls berücksichtigt. Es wird nachgewiesen, daß die Corioliskraft für die transversale Komponente des Stromfeldes verantwortlich ist. Das vorgeschlagene theoretische Modell wird auf die Flußmündung des Hoogly angewendet. Die berechneten Resultate werden mit beobachteten Werten in der Hoogly-Flußmündung verglichen. Eine Stabilitätsuntersuchung des (alternative direction) impliziten Verfahrens wird ebenfalls durchgeführt.
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Debnath, L., Chatterjee, A.K. Two dimensional nonlinear wave propagation in a shallow tidal estuary. Acta Mechanica 41, 11–22 (1981). https://doi.org/10.1007/BF01246900
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DOI: https://doi.org/10.1007/BF01246900