An extended channel model for the prediction of motion in elongated homogeneous lakes. Part 3. Free oscillations in natural basins

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Abstract
The extended channel model derived and analysed in two previous articles is further developed by investigating free oscillations and forced motion in natural enclosed basins. Firstly, a zeroth-order model is analysed. In this model, field variables are expressed as a product of a single known cross-sectional shape function and an unknown function of time and the co-ordinate along the lake axis. Conditions are discussed under which this zeroth-order model is meaningful, and it is shown that under normal circumstances Coriolis effects must be ignored. Subsequently the general Nth-order channel model is applied to the Lake of Lugano. It is shown that eigedrequencies and amphidromic systems are well predicted in such channel-like lakes. The paper ends with a discussion on the selection of shape functions and with further applications and limitations of the channel model.
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