Hostname: page-component-745bb68f8f-l4dxg Total loading time: 0 Render date: 2025-01-31T08:44:59.876Z Has data issue: false hasContentIssue false

On the use of simplified geometries to represent turbulent flow over coral reefs

Published online by Cambridge University Press:  30 January 2025

J.F. Hamilton*
Affiliation:
Bob and Norma Street Environmental Fluid Mechanics Laboratory, Department of Civil and Environmental Engineering, Stanford University, Stanford, CA 94305, USA
B.Z. Kelley
Affiliation:
Bob and Norma Street Environmental Fluid Mechanics Laboratory, Department of Civil and Environmental Engineering, Stanford University, Stanford, CA 94305, USA
S.G. Monismith
Affiliation:
Bob and Norma Street Environmental Fluid Mechanics Laboratory, Department of Civil and Environmental Engineering, Stanford University, Stanford, CA 94305, USA
J.R. Koseff
Affiliation:
Bob and Norma Street Environmental Fluid Mechanics Laboratory, Department of Civil and Environmental Engineering, Stanford University, Stanford, CA 94305, USA
*
Email address for correspondence: jhamil@stanford.edu

Abstract

Hydrodynamic consequences of using simpler geometric shapes to represent coral canopies are examined through a laboratory study. A canopy composed of cylinders is compared with a canopy composed of 3-D-printed, scaled down coral heads in a recirculating flume. Vertical velocity profiles are measured at four horizontal locations for each canopy type, and mean velocity and turbulence statistics are compared both within and above the canopy. A narrow, defined wake on the scale of the canopy element is present behind the cylinder canopy elements that is absent in the coral canopy. There is also a peak in shear stress at the top of the cylinder canopy, likely due to the sharp edge at the top of the cylinder. Above the canopy, however, turbulence statistics and friction velocities behave similarly for both canopy types. Therefore, the results indicate we may reasonably get coral reef drag estimates from canopies with simpler geometric surrogates, especially when the mean free-stream and within-canopy flow speeds are matched to environmental conditions.

Type
JFM Papers
Copyright
© The Author(s), 2025. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Asher, S., Niewerth, S., Koll, K. & Shavit, U. 2016 Vertical variations of coral reef drag forces. J. Geophys. Res.: Oceans 121 (5), 3549–3563.CrossRefGoogle Scholar
Asher, S. & Shavit, U. 2019 The effect of water depth and internal geometry on the turbulent flow inside a coral reef. J. Geophys. Res.: Oceans 124 (6), 3508–3522.CrossRefGoogle Scholar
Atkinson, M.J. & Bilger, R.W. 1992 Effects of water velocity on phosphate uptake in coral reef-hat communities. Limnol. Oceanogr. 37 (2), 273–279.CrossRefGoogle Scholar
Baldock, T.E., Shabani, B., Callaghan, D.P., Hu, Z. & Mumby, P.J. 2020 Two-dimensional modelling of wave dynamics and wave forces on fringing coral reefs. Coast. Engng 155, 103594.CrossRefGoogle Scholar
de Boor, C.R. 1980 A practical guide to splines. Maths Comput. 34 (149), 325–326.Google Scholar
Brunet, Y. 2020 Turbulent flow in plant canopies: historical perspective and overview. Boundary-Layer Meteorol. 177 (2–3), 315–364.CrossRefGoogle Scholar
Burke, L., Reytar, K., Spalding, M. & Perry, A. 2011 Reefs at risk revisited. Tech. Rep. 3.Google Scholar
Chang, S., Iaccarino, G., Ham, F., Elkins, C. & Monismith, S. 2014 Local shear and mass transfer on individual coral colonies: computations in unidirectional and wave-driven flows. J. Geophys. Res.: Oceans 119 (4), 2599–2619.CrossRefGoogle Scholar
Crimaldi, J.P., Thompson, J.K., Rosman, J.H., Lowe, R.J. & Koseff, J.R. 2002 Hydrodynamics of larval settlement: the influence of turbulent stress events at potential recruitment sites. Limnol. Oceanogr. 47 (4), 1137–1151.CrossRefGoogle Scholar
Dimotakis, P.E. 2000 The mixing transition in turbulent flows. J. Fluid Mech. 409, 69–98.CrossRefGoogle Scholar
Goring, D.G. & Nikora, V.I. 2002 Despiking acoustic Doppler velocimeter data. J. Hydraul. Engng ASCE 128 (1), 117–126.CrossRefGoogle Scholar
Hearn, C.J. 2011 Perspectives in coral reef hydrodynamics. Coral Reefs 30 (Suppl. 1), 1–9.CrossRefGoogle Scholar
Hench, J.L. & Rosman, J.H. 2013 Observations of spatial flow patterns at the coral colony scale on a shallow reef flat. J. Geophys. Res.: Oceans 118 (3), 1142–1156.CrossRefGoogle Scholar
Hoegh-Guldberg, O., et al. 2007 Coral reefs under rapid climate change and ocean acidification. Science 318, 17371742.CrossRefGoogle ScholarPubMed
Lentz, S.J., Davis, K.A., Churchill, J.H. & DeCarlo, T.M. 2017 Coral reef drag coefficients – water depth dependence. J. Phys. Oceanogr. 47 (5), 1061–1075.CrossRefGoogle Scholar
Lin, C.C. 1953 On Taylor's hypothesis and the acceleration terms in the Navier–Stokes equation. Q. Appl. Maths 10 (4), 295–306.Google Scholar
Lindhart, M., Monismith, S.G., Khrizman, A., Mucciarone, D. & Dunbar, R. 2021 How consistent are estimates of roughness parameters on a rough coral reef? J. Geophys. Res.: Oceans 126 (12).CrossRefGoogle Scholar
Lowe, R.J., Koseff, J.R. & Monismith, S.G. 2005 a Oscillatory flow through submerged canopies: 1. Velocity structure. J. Geophys. Res.: Oceans 110 (10), 117.Google Scholar
Lowe, R.J., Koseff, J.R., Monismith, S.G. & Falter, J.L. 2005 b Oscillatory flow through submerged canopies: 2. Canopy mass transfer. J. Geophys. Res.: Oceans 110 (10).Google Scholar
Lowe, R.J., Shavit, U., Falter, J.L., Koseff, J.R. & Monismith, S.G. 2008 Modeling flow in coral communities with and without waves: a synthesis of porous media and canopy flow approaches. Limnol. Oceanogr. 53 (6), 2668–2680.CrossRefGoogle Scholar
Lumley, J.L. 1965 Interpretation of time spectra measured in high-intensity shear flows. Phys. Fluids 8 (6), 1056–1062.CrossRefGoogle Scholar
Madin, J.S. 2005 Mechanical limitations of reef corals during hydrodynamic disturbances. Coral Reefs 24 (4), 630–635.CrossRefGoogle Scholar
Madin, J.S. & Connolly, S.R. 2006 Ecological consequences of major hydrodynamic disturbances on coral reefs. Nature 444 (7118), 477–480.CrossRefGoogle ScholarPubMed
Mandel, T.L., Rosenzweig, I., Chung, H., Ouellette, N.T. & Koseff, J.R. 2017 Characterizing free-surface expressions of flow instabilities by tracking submerged features. Exp. Fluids 58 (11).CrossRefGoogle Scholar
McDonald, C.B., Koseff, J.R. & Monismith, S.G. 2006 Effects of the depth to coral height ratio on drag coefficients for unidirectional flow over coral. Limnol. Oceanogr. 51 (3), 1294–1301.CrossRefGoogle Scholar
Mori, N., Suzuki, T. & Kakuno, S. 2007 Noise of acoustic doppler velocimeter data in bubbly flows. J. Engng Mech. 133 (1), 122–125.Google Scholar
Nepf, H.M. & Vivoni, E.R. 2000 Flow structure in depth-limited, vegetated flow. J. Geophys. Res.: Oceans 105 (C12), 28547–28557.Google Scholar
O'Riordan, C.A., Monismith, S.G. & Koseff, J.R. 1993 A study of concentration boundary-layer formation over a bed of model bivalves. Limnol. Oceanogr. 38 (8), 1712–1729.CrossRefGoogle Scholar
Pomeroy, A.W.M., Ghisalberti, M., Peterson, M. & Farooji, V.E. 2023 A framework to quantify flow through coral reefs of varying coral cover and morphology. PLoS ONE 18 (1), e0279623.CrossRefGoogle ScholarPubMed
Pope, S.B. 2012 Turbulent Flows. Cambridge University Press.Google Scholar
Reidenbach, M.A., Koseff, J.R. & Koehl, M.A.R. 2009 Hydrodynamic forces on larvae affect their settlement on coral reefs in turbulent, wavedriven flow. Limnol. Oceanogr. 54 (1), 318–330.CrossRefGoogle Scholar
Reidenbach, M.A., Koseff, J.R. & Monismith, S.G. 2007 Laboratory experiments of fine-scale mixing and mass transport within a coral canopy. Phys. Fluids 19 (7).CrossRefGoogle Scholar
Reidenbach, M.A., Monismith, S.G., Koseff, J.R., Yahel, G. & Genin, A. 2006 Boundary layer turbulence and flow structure over a fringing coral reef. Limnol. Oceanogr. 51 (5), 1956–1968.CrossRefGoogle Scholar
Reidenbach, M.A., Stocking, J.B., Szczyrba, L. & Wendelken, C. 2021 Hydrodynamic interactions with coral topography and its impact on larval settlement. Coral Reefs 40 (2), 505–519.CrossRefGoogle Scholar
Rogers, J.S., Maticka, S.A., Chirayath, V., Woodson, C.B., Alonso, J.J. & Monismith, S.G. 2018 Connecting flow over complex terrain to hydrodynamic roughness on a coral reef. J. Phys. Oceanogr. 48 (7), 1567–1587.CrossRefGoogle Scholar
Rosman, J.H. & Hench, J.L. 2011 A framework for understanding drag parameterizations for coral reefs. J. Geophys. Res.: Oceans 116 (8), C08025.CrossRefGoogle Scholar
Shapiro, O.H., Fernandez, V.I., Garren, M., Guasto, J.S., Debaillon-Vesque, F.P., Kramarsky-Winter, E., Vardi, A. & Stocker, R. 2014 Vortical ciliary flows actively enhance mass transport in reef corals. Proc. Natl Acad. Sci. USA 111 (37), 13391–13396.CrossRefGoogle ScholarPubMed
Stocking, J.B., Laforsch, C., Sigl, R. & Reidenbach, M.A. 2018 The role of turbulent hydrodynamics and surface morphology on heat and mass transfer in corals. J. R. Soc. Inter. 15 (149).CrossRefGoogle ScholarPubMed
Takeshita, Y., McGillis, W., Briggs, E.M., Carter, A.L., Donham, E.M., Martz, T.R., Price, N.N. & Smith, J.E. 2016 Assessment of net community production and calcification of a coral reef using a boundary layer approach. J. Geophys. Res.: Oceans 121 (8), 5655–5671.CrossRefGoogle Scholar
Wellington, G.M. 1982 An experimental analysis of the effects of light and zooplankton on coral zonation. Oecologia 52 (3), 311–320.CrossRefGoogle ScholarPubMed
Whitman, E.R. & Reidenbach, M.A. 2012 Benthic flow environments affect recruitment of Crassostrea virginica larvae to an intertidal oyster reef. Mar. Ecol. Prog. Ser. 463, 177–191.CrossRefGoogle Scholar