Technical Papers
Mar 31, 2017

Influence of Regular Surface Waves on the Propagation of Gravity Currents: Experimental and Numerical Modeling

Publication: Journal of Hydraulic Engineering
Volume 143, Issue 8

Abstract

The propagation of gravity currents is analyzed in the presence of regular surface waves, both experimentally and numerically, by using a full-depth lock-exchange configuration. Full-depth lock-exchange releases have been reproduced in a wave flume, both in the absence and in the presence of regular waves, considering two fluids having densities ρ0 and ρ1, with ρ0<ρ1. Boussinesq gravity currents have been considered here (ρ0/ρ11), with values of the reduced gravity g in the range 0.010.1  m/s2, while monochromatic waves have been generated in intermediate water depth. The experimental results show that the hydrodynamics of the density current are significantly affected by the presence of the wave motion. In particular, the front shows a pulsating behavior and the shape of the front itself is less steep than in the absence of waves, while turbulence at the interface between the two fluids is damped out. In the present test conditions, the average velocity of the advancing front may be decreased in the presence of the combined flow as a function of the relative importance of buoyancy compared with wave-induced Stokes drift. Moreover, a new numerical model is proposed, aiming at obtaining a simple, efficient, and accurate tool to simulate the combined motion of gravity currents and surface waves. The model is derived by assuming that surface waves are not affected by gravity current propagation at the leading order and that the total velocity field is the sum of velocities forced by the orbital motion and those forced by buoyancy. A Boussinesq-type wave model for nonstratified fluids is solved, and its results are used as input of a gravity current model for stratified flows. Comparisons of the numerical results with the present experimental data demonstrate the capability of the model to predict the main features of the analyzed phenomena concerning propagation of the density current (e.g., averaged velocities, front height), the increase of entrainment of the ambient fluid into the density current in the presence of the waves, and the intrawave pulsating movement of the heavy front.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This work has been partly funded by the Italian Ministry of Education, Universities and Research (MIUR), through the Research Projects of Significant National Interest (PRIN) 2010–2011 Project HYDROCAR (code 20104J2Y8M_003) and PRIN 2012 Project “Hydro-Morphodynamics Modelling of Coastal Processes for Engineering Purposed” (code 2012BYTPR5) and through the EU-funded project HYDRALAB PLUS (Proposal 654110). The authors would like to acknowledge the two anonymous reviewers, whose comments allowed improvement of the quality of the paper.

References

Adduce, C., Sciortino, G., and Proietti, S. (2012). “Gravity currents produced by lock exchanges: Experiments and simulations with a two-layer shallow-water model with entrainment.” J. Hydraul. Eng., 111–121.
Benjamin, T. B. (1968). “Gravity currents and related phenomena.” J. Fluid Mech., 31(2), 209–248.
Crossland, C. J., Kremer, H. H., Lindeboom, H., Crossland, J. I. M., and Le Tissier, M. D. (2005). Coastal fluxes in the Anthropocene: The land-ocean interactions in the coastal zone project of the international geosphere-biosphere programme, Springer Science and Business Media, Berlin.
Dean, R., and Dalrymple, R. (1991). Water wave mechanics for engineers and scientists, World Scientific, Singapore.
Deardorff, J. W. (1970). “A numerical study of three-dimensional turbulent channel flow at large reynolds numbers.” J. Fluid Mech., 41(2), 453–480.
Goda, Y., and Suzuki, Y. (1976). “Estimation of incident and reflected waves in random wave experiments.” Proc., 15th Int. Conf. on Coastal Engineering, ASCE, New York, 828–845.
Härtel, C., Carlsson, F., and Thunblom, M. (2000a). “Analysis and direct numerical simulation of the flow at a gravity-current head. Part 2: The lobe and cleft instability.” J. Fluid Mech., 418, 213–229.
Härtel, C., Meiburg, E., and Necker, F. (2000b). “Analysis and direct numerical simulation of the flow at a gravity-current head. Part 1: Flow topology and front speed for slip and no-slip boundaries.” J. Fluid Mech., 418, 189–212.
Huppert, H. E., and Simpson, J. E. (1980). “The slumping of gravity currents.” J. Fluid Mech., 99(4), 785–799.
Johnson, C., and Hogg, A. (2013). “Entraining gravity currents.” J. Fluid Mech., 731, 477–508.
Kolar, R., et al. (2009). “Process-oriented tests for validation of baroclinic shallow water model: The lock-exchange problem.” Ocean Model., 28(1-3), 137–152.
La Rocca, M., Adduce, C., Lombardi, V., Sciortino, G., and Hinkelmann, R. (2012). “Development of a lattice Boltzmann method for two-layer shallow-water flow.” Int. J. Numer. Methods Fluids, 70(8), 1048–1072.
La Rocca, M., Adduce, C., Sciortino, G., and Pinzon, A. B. (2008). “Experimental and numerical simulation of the three-dimensional gravity currents on smooth and rough bottom.” Phys. Fluids, 20(10), 106603-1–106603-15.
Lodhal, C., Sumer, B., and Fredsøe, J. (1998). “Turbulent combined oscillatory flow and current in a pipe.” J. Fluid Mech., 373(25), 313–348.
Longuet-Higgins, M. S. (1970). “Longshore currents generated by obliquely incident sea waves, 1.” J. Geophys. Res., 75(33), 6778–6789.
Lo Re, C., Musumeci, R. E., and Foti, E. (2012). “A shoreline boundary condition for a highly nonlinear Boussinesq model for breaking waves.” Coastal Eng., 60, 41–52.
Lowe, R., Rottman, J. W., and Linden, P. (2005). “The non-Boussinesq lock-exchange problem. Part 1: Theory and experiments.” J. Fluid Mech., 537, 101–124.
Marino, B., Thomas, L., and Linden, P. (2005). “The front condition for gravity currents.” J. Fluid Mech., 536, 49–78.
Mei, C., Stiassnie, M., and Yue, D.-P. (2005). Theory and application of ocean surface waves. Part 2: Nonlinear aspects, World Scientific, Singapore.
Musumeci, R., Cavallaro, L., Foti, E., Scandura, P., and Blondeaux, P. (2006). “Waves plus currents crossing at right angle: Experimental investigation.” J. Geophys. Res., 111(C07019), 1–19.
Musumeci, R. E., Svendsen, I. A., and Veeramony, J. (2005). “The flow in the surf zone: A fully nonlinear Boussinesq-type of approach.” Coastal Eng., 52(7), 565–598.
Ng, C. O., and Fu, S. C. (2002). “On the propagation of a two-dimensional viscous density current under surface waves.” Phys. Fluids, 14(3), 970–984.
Nogueira, H., Adduce, C., Alves, E., and Franca, M. (2013). “Image analysis technique applied to lock-exchange gravity currents.” Meas. Sci. Technol., 24(4), 047001.
Nogueira, H. I. S., Adduce, C., Alves, E., and Franca, M. J. (2014). “Dynamics of the head of gravity currents.” Environ. Fluid Mech., 14(2), 519–540.
Ooi, S., Constantinescu, G., and Weber, L. (2009). “Numerical simulation of lock-exchange compositional gravity current.” J. Fluid Mech., 635, 361–388.
Ooi, S., Costantinescu, G., and Weber, L. (2007). “A numerical study of intrusive compositional gravity currents.” Phys. Fluids, 19(7), 076602-1–076602-14.
Parker, G., Garcia, M., Fukushima, Y., and Yu, W. (1987). “Experiments on turbidity currents over an erodible bed.” J. Hydrau. Res., 25(1), 123–147.
Piomelli, U., Moin, P., and Ferziger, J. H. (1988). “Model consistency in large eddy simulation of turbulent channel flows.” Phys. Fluids, 31(7), 1884–1891.
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T. (1992). Numerical recipes in Fortran, 2nd Ed., Cambridge University Press, Cambridge, U.K.
Princevac, M., Fernando, H. J. S., and Whiteman, C. D. (2005). “Turbulent entrainment into natural gravity-driven flows.” J. Fluid Mech., 533, 59–268.
Robinson, T. O., Eames, I., and Simons, R. (2006). “The effect of wave action on gravity current.” Proc., 5th Int. Coastal Dynamics Conf., ASCE, New York.
Robinson, T. O., Eames, I., and Simons, R. (2013). “Dense gravity currents moving beneath progressive free-surface water waves.” J. Fluid Mech., 725, 588–610.
Ross, A., Dalziel, S., and Linden, P. (2006). “Axisymmetric gravity currents on a cone.” J. Fluid Mech., 565, 227–253.
Shin, J. O., Dalziel, S. B., and Linden, P. F. (2004). “Gravity currents produced by lock-exchange.” J. Fluid Mech., 521, 1–34.
Simpson, J. (1997). Gravity currents in the environment and the laboratory, Cambridge University Press, Cambridge, U.K.
Smagorinsky, J. (1965). “Implications of dynamical modelling of the general circulation on long-range forecasting.” World Meteorological Organization-Int. Union of Geodesy and Geophysics Symp. on Research and Development Aspects of Long-Range Forecasting, WMO Technical Note 62, World Meteorological Organization, Geneva, 131–137.
Stancanelli, L. M., Musumeci, R. E., Cavallaro, L., and Foti, E. (2017). “A small scale pressure retarded osmosi power plant: Dynamics of the brackish effluent discharge along the coast.” Ocean Eng., 130(15), 417–428.
Svendsen, I. A., Madsen, P. A., and Hansen, J. B. (1978). “Wave characteristics in the surf zone.” Proc., 16th Coastal Engineering Conf., ASCE, New York, 520–539.
Theiler, Q., and Franca, M. J. (2016). “Contained density currents with high volume of release.” Sedimentology, 63(6), 1820–1842.
Turner, J. (1973). Buoyancy effects in fluids, Cambridge University Press, Cambridge, U.K.
Ungarish, M. (2007). “A shallow-water model for high-Reynolds-number gravity currents for a wide range of density differences and fractional depths.” J. Fluid Mech., 579, 373–382.
Ungarish, M. (2009). An introduction to gravity currents and intrusions, CRC Press, Boca Raton, FL.
van Dongeren, A. R., and Svendsen, I. A. (1997). “Absorbing-generating boundary condition for shallow water models.” J. Waterway Port Coast. Ocean Eng., 303–313.
Viviano, A., Musumeci, R. E., and Foti, E. (2014). “Boussinesq modelling of the impact of pressure retarded osmosis plants in nearshore regions.” Proc., 3rd IAHR European Congress, CEDEX, Madrid, Spain.
Viviano, A., Musumeci, R. E., and Foti, E. (2015). “A nonlinear rotational, quasi-2DH numerical model for spilling wave propagation.” Appl. Math. Model., 39(3), 1099–1118.
Viviano, A., Musumeci, R. E., and Foti, E. (2016). “Effect of surface waves on full depth lock exchange gravity currents hydrodynamics.” River flow 2016, CRC Press, Boca Raton, FL.
Wright, L., Friedrichs, C., Kim, S., and Scully, M. (2001). “Effects of ambient currents and waves on gravity-driven sediment transport on continental shelves.” Marine Geol., 175(1–4), 25–45.
Wright, L. D., et al. (1988). “Marine dispersal and deposition of Yellow River silts by gravity-driven underflows.” Nature, 332(6165), 629–632.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 143Issue 8August 2017

History

Received: Mar 24, 2016
Accepted: Dec 7, 2016
Published online: Mar 31, 2017
Published in print: Aug 1, 2017
Discussion open until: Aug 31, 2017

Permissions

Request permissions for this article.

Authors

Affiliations

Assistant Professor, Dept. of Civil Engineering and Architecture, Univ. of Catania, Via S. Sofia 64, 95123 Catania, Italy (corresponding author). ORCID: https://orcid.org/0000-0002-1022-0571. E-mail: [email protected]
Antonino Viviano [email protected]
Postdoctoral Researcher, Dept. of Civil Engineering and Architecture, Univ. of Catania, Via S. Sofia 64, 95123 Catania, Italy. E-mail: [email protected]
Enrico Foti [email protected]
Professor, Dept. of Civil Engineering and Architecture, Univ. of Catania, Via S. Sofia 64, 95123 Catania, Italy. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share