IMIS | Flanders Marine Institute

Flanders Marine Institute

Platform for marine research


Publications | Institutes | Persons | Datasets | Projects | Maps
[ report an error in this record ]basket (0): add | show Printer-friendly version

Linear waves in two-layer fluids over periodic bottoms
Yu, J.; Maas, L.R.M. (2016). Linear waves in two-layer fluids over periodic bottoms. J. Fluid Mech. 794: 700-718.
In: Journal of Fluid Mechanics. Cambridge University Press: London. ISSN 0022-1120, more
Peer reviewed article  

Available in  Authors 

Author keywords
    geophysical and geological flows; internal waves; stratified flows

Authors  Top 
  • Yu, J.
  • Maas, L.R.M., more

    A new, exact Floquet theory is presented for linear waves in two-layer fluidsover a periodic bottom of arbitrary shape and amplitude. A method of conformaltransformation is adapted. The solutions are given, in essentially analytical form, forthe dispersion relation between wave frequency and generalized wavenumber (Floquetexponent), and for the waveforms of free wave modes. These are the analogues of theclassical Lamb’s solutions for two-layer fluids over a flat bottom. For internal modesthe interfacial wave shows rapid modulation at the scale of its own wavelength that iscomparable to the bottom wavelength, whereas for surface modes it becomes a longwave carrier for modulating short waves of the bottom wavelength. The approximationusing a rigid lid is given. Sample calculations are shown, including the solutions thatare inside the forbidden bands (i.e. Bragg resonated).

All data in IMIS is subject to the VLIZ privacy policy Top | Authors