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Tides: Coastal resonance

 

Coastal tides may either be choked (as in Lagoon type estuaries) or resonantly amplified. These two, contrasting type of responses might actually coexist as two stable equilibria when the resonance horn (ratio of reesponse over forcing amplitude versus frequency) is bent ove. This happens due to nonlinear effects (such as simply due to a sloping bottom). In that case, an irregular response may result when a perturbation is kicking the response from one to the other equilibrium and back.

 

Publications:

 

 

Terra, G. M., Berg, W.J. van den, Maas L.R.M. (2003)

Experimental verification of Lorentz' linearization procedure of quadratic bottom friction.  Submitted to Physics of Fluids. ( Download PDF-file )

 

Terra, G. M., Doelman, A., Maas, L.R.M. (2003)

A weakly nonlinear approach to coastal resonance.  Submitted to Journal of Fluid Mechanics. ( Download PDF-file )

 

Doelman, A., Koenderink, F.A., Maas, L.R.M. (2002)

Quasi-periodically forced nonlinear Helmholtz oscillators.   Physica D, 164: 1-27. ( Download PDF-file )

 

Maas, L.R.M., Doelman, A. (2002)

Chaotic tides.   Journal of Physical Oceanography, 32: 870-890. ( Download PDF-file )

 

Maas, L.R.M. (1998)

On an oscillator equation for tides in almost enclosed basins of non-uniform depth.  Physics of Estuaries and Coastal Seas, Dronkers, J. & M. Scheffers eds., A.A. Balkema Rotterdam: 127-132.

 

Maas, L.R.M. (1997)

On the nonlinear Helmholtz response of almost-enclosed tidal basins with a sloping bottom.   Journal of Fluid Mechanics, 349: 361-380. ( Download PDF-file )

 

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