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Comparison between shear-driven and pressure-driven oscillatory flows over ripples

Published online by Cambridge University Press:  31 October 2024

Umberto Ciri Open the ORCID record for Umberto Ciri [Opens in a new window] ,
Sylvia Rodríguez-Abudo Open the ORCID record for Sylvia Rodríguez-Abudo [Opens in a new window]  and
Stefano Leonardi Open the ORCID record for Stefano Leonardi [Opens in a new window]
Umberto Ciri*
Affiliation:
Department of Mechanical Engineering, University of Puerto Rico at Mayagüez, 259 Blvd. Alfonso Valdés Cobián, Mayagüez, PR 00680, USA
Sylvia Rodríguez-Abudo
Affiliation:
Department of Engineering Sciences and Materials, University of Puerto Rico at Mayagüez, 259 Blvd. Alfonso Valdés Cobián, Mayagüez, PR 00680, USA
Stefano Leonardi
Affiliation:
Department of Mechanical Engineering, The University of Texas at Dallas, 800 W Campbell Rd, Richardson, TX 75080, USA
*
†Email address for correspondence: [email protected]
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Abstract

Direct numerical simulations of oscillatory flow over a bed made of ripples have been performed. Two oscillatory flow forcing mechanisms have been compared: (i) a sinusoidal external pressure gradient (pressure-driven flow); and (ii) a sinusoidal velocity boundary conditions on the rippled bed (shear-driven flow). In the second case, the oscillations of the bed are such that when observed from a reference frame fixed with the bed, the free stream follows the same harmonic oscillation as in the pressure-driven case. While the outer layers have the same dynamics in the two cases, close to the bed differences are observed during the cycle, mostly because the large form drag across the ripples cannot be reproduced in the shear-driven case. A comparison against experimental data from an oscillating tray apparatus provides a relatively good agreement for the phase-averaged flow when the same forcing is considered (i.e. a shear-driven flow). The pressure-driven case has a comparable error to the shear-driven numerical results over the crest of the ripples, whereas the discrepancy is larger at the troughs. The discrepancies between the two cases are more limited for time-averaged flow quantities, such as the mean flow pattern and the time-averaged Reynolds stress distribution. This suggests that numerical or experimental shear-driven configurations may capture well the net effects of coastal transport processes (which occur in pressure-driven oscillatory flow), but care should be exercised in interpreting phase-dependent dynamics near the troughs. More work is needed to fully assess the sensitivity to the forcing mechanisms in different flow regimes.

JFM classification

Turbulent Flows: Turbulent boundary layers
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 998 , 10 November 2024 , A42
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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Supplementary material: File

Ciri et al. supplementary movie

Color contours of phase-averaged streamwise velocity field with super-imposed streamfunction isocontours over a few oscillation cycles.
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