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over the last five years, of the modelling studies carried out by the author concerning the hydrodynamics of the southern North Sea and. River Thames.
CHAPTER 65 HYDRODYNAMIC MODELLING OF THE SOUTHERN NORTH SEA by David Prandle*

ABSTRACT Numerical modelling of rivers, estuaries and shallow seas has attracted increasing interest over the last two decades.

The models

have developed from one dimensional (ID) applications to tidal propagation and flood routing through two and, finally, three dimensional applications to motions ranging from "pseudo-turbulence" to annualmean residual flows.

The present account describes the development,

over the last five years, of the modelling studies carried out by the author concerning the hydrodynamics of the southern North Sea and River Thames.

The objective is to identify those major points which

have emerged that may have a wider significance. 1.

INTRODUCTION

The modelling work considered is restricted to one and two (horizontal) dimensional applications; solutions are used throughout.

explicit finite-difference

The motions involved are assumed to

be represented by the following shallow water wave equations :

motion (-x)

^+ U*U + VdU + g^l + K LlCuV/VfW = 0

3t motion (-y) continuity

where

a*.

^

^

(l)

(o+2)

ZV+ U 3V + V