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Laboratory-scale investigation of a periodically forced stratified basin with inclined endwalls

Published online by Cambridge University Press:  02 December 2021

Sara Marković Open the ORCID record for Sara Marković [Opens in a new window]  and
Vincenzo Armenio Open the ORCID record for Vincenzo Armenio [Opens in a new window]
Sara Marković*
Affiliation:
Dipartimento di Ingegneria e Architettura, University of Trieste, Piazzale Europa 1, 34127Trieste, Italy
Vincenzo Armenio
Affiliation:
Dipartimento di Ingegneria e Architettura, University of Trieste, Piazzale Europa 1, 34127Trieste, Italy
*
†Email address for correspondence: [email protected]
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Abstract

We present results of numerical simulations of a stratified reservoir with a three-layer stratification, subject to an oscillating surface shear stress. We investigate the effect of sloped endwalls on mixing and internal wave adjustment to forcing within the basin, for three different periods of forcing. The simulations are carried out at a laboratory scale, using large-eddy simulation. We solve the three-dimensional Navier–Stokes equations under the Boussinesq approximation using a second-order-accurate finite-volume solver. The model was validated by reproducing experimental results for the response of a reservoir to surface shear stress and resonant frequencies of internal waves. We find interesting combinations of wave modes and mixing under variation of the forcing frequencies and of the inclination of the endwalls. When the frequency of the forcing is close to the fundamental mode-one wave frequency, a resonant internal seiche occurs and the response is characterized by the first vertical mode. For forcing periods twice and three times the fundamental period, the dominant response is in terms of the second vertical mode. Adjustment to forcing via the second vertical mode is accompanied by the cancellation of the fundamental wave and energy transfer to higher-frequency waves. The study shows that the slope of the endwalls dramatically affects the location of mixing, which has a feedback on the wave field by promoting the generation of higher vertical modes.

JFM classification

Geophysical and Geological Flows: Internal waves Geophysical and Geological Flows: Stratified flows Mixing: Turbulent mixing
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 932 , 10 February 2022 , A13
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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