Modeling swash-zone hydrodynamics and shear stresses on planar slopes using Reynolds-Averaged Navier-Stokes equations

Alec Torres-Freyermuth*, Jack A. Puleo, Dubravka Pokrajac

*Corresponding author for this work

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

[1] A numerical model solving the Reynolds-Averaged Navier-Stokes equations, with a volume of fluid-tracking scheme and turbulence closure, is employed for estimating hydrodynamics in the swash zone. Model results for run-up distance, water depth, and near-bed velocity are highly correlated (r2 > 0.97) with ensemble-averaged dam-break-driven swash data. Moreover, modeled bed shear stresses are within 20% of estimates derived from measured velocity profiles. Dam-break-driven swash simulations are conducted to determine the effect of foreshore characteristics (bed roughness and foreshore slope) on bore-induced swash-zone hydrodynamics and bed shear stresses. Numerical results revealed that the boundary layer vanishes during flow reversal, grows during the backwash, and becomes depth limited at the end of the swash cycle. In general, the uprush experiences larger shear stresses but for a shorter duration than the backwash. Some variability in this pattern is observed depending on the bed roughness, foreshore slope, and cross-slope location in the swash zone, implying that large spatial gradients in shear stresses can occur on the foreshore. The mean tangential force per unit area supplied to the bed is offshore directed for the simulated cases, with the exception of the mild-slope (1:25) cases, owing to the skewed nature of swash flows. The temporal evolution of the momentum balance inside the swash zone shows an important contribution to the total force from turbulence and advection at the early/final stage of the swash cycle, whereas the local acceleration does not appear to be a significant contribution.

Original languageEnglish
Pages (from-to)1019-1033
Number of pages15
JournalJournal of Geophysical Research: Oceans
Volume118
Issue number2
Early online date11 Feb 2013
DOIs
Publication statusPublished - Feb 2013

Fingerprint

splashing
wave runup
Navier-Stokes equations
Navier-Stokes equation
Navier Stokes equations
shear stress
Shear stress
Hydrodynamics
hydrodynamics
slopes
beds
Dams
modeling
Turbulence
Surface roughness
backwash
bed roughness
Advection
dams
bottom stress

Keywords

  • swash zone

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics
  • Earth and Planetary Sciences (miscellaneous)
  • Space and Planetary Science
  • Oceanography

Cite this

Modeling swash-zone hydrodynamics and shear stresses on planar slopes using Reynolds-Averaged Navier-Stokes equations. / Torres-Freyermuth, Alec; Puleo, Jack A.; Pokrajac, Dubravka.

In: Journal of Geophysical Research: Oceans, Vol. 118, No. 2, 02.2013, p. 1019-1033.

Research output: Contribution to journalArticle

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title = "Modeling swash-zone hydrodynamics and shear stresses on planar slopes using Reynolds-Averaged Navier-Stokes equations",
abstract = "[1] A numerical model solving the Reynolds-Averaged Navier-Stokes equations, with a volume of fluid-tracking scheme and turbulence closure, is employed for estimating hydrodynamics in the swash zone. Model results for run-up distance, water depth, and near-bed velocity are highly correlated (r2 > 0.97) with ensemble-averaged dam-break-driven swash data. Moreover, modeled bed shear stresses are within 20{\%} of estimates derived from measured velocity profiles. Dam-break-driven swash simulations are conducted to determine the effect of foreshore characteristics (bed roughness and foreshore slope) on bore-induced swash-zone hydrodynamics and bed shear stresses. Numerical results revealed that the boundary layer vanishes during flow reversal, grows during the backwash, and becomes depth limited at the end of the swash cycle. In general, the uprush experiences larger shear stresses but for a shorter duration than the backwash. Some variability in this pattern is observed depending on the bed roughness, foreshore slope, and cross-slope location in the swash zone, implying that large spatial gradients in shear stresses can occur on the foreshore. The mean tangential force per unit area supplied to the bed is offshore directed for the simulated cases, with the exception of the mild-slope (1:25) cases, owing to the skewed nature of swash flows. The temporal evolution of the momentum balance inside the swash zone shows an important contribution to the total force from turbulence and advection at the early/final stage of the swash cycle, whereas the local acceleration does not appear to be a significant contribution.",
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note = "Acknowledgments This work was supported by the National Council of Science and Technology of Mexico (CB-167692 and M0023-08-06-106400), UNAM (Instituto de Ingenieria Proyecto Interno A2 and DGAPA UNAM PAPIIT IB102012-2), the National Science Foundation CAREER Award (OCE-0845004), and the University of Delaware. Tom Baldock and two anonymous reviewers are thanked for helping to improve the manuscript. We thank one anonymous reviewer for his/her suggestion to investigate flow vorticity during uprush as a possible way to determine the applicability of the log-law model during that phase of the swash cycle.",
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N1 - Acknowledgments This work was supported by the National Council of Science and Technology of Mexico (CB-167692 and M0023-08-06-106400), UNAM (Instituto de Ingenieria Proyecto Interno A2 and DGAPA UNAM PAPIIT IB102012-2), the National Science Foundation CAREER Award (OCE-0845004), and the University of Delaware. Tom Baldock and two anonymous reviewers are thanked for helping to improve the manuscript. We thank one anonymous reviewer for his/her suggestion to investigate flow vorticity during uprush as a possible way to determine the applicability of the log-law model during that phase of the swash cycle.

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N2 - [1] A numerical model solving the Reynolds-Averaged Navier-Stokes equations, with a volume of fluid-tracking scheme and turbulence closure, is employed for estimating hydrodynamics in the swash zone. Model results for run-up distance, water depth, and near-bed velocity are highly correlated (r2 > 0.97) with ensemble-averaged dam-break-driven swash data. Moreover, modeled bed shear stresses are within 20% of estimates derived from measured velocity profiles. Dam-break-driven swash simulations are conducted to determine the effect of foreshore characteristics (bed roughness and foreshore slope) on bore-induced swash-zone hydrodynamics and bed shear stresses. Numerical results revealed that the boundary layer vanishes during flow reversal, grows during the backwash, and becomes depth limited at the end of the swash cycle. In general, the uprush experiences larger shear stresses but for a shorter duration than the backwash. Some variability in this pattern is observed depending on the bed roughness, foreshore slope, and cross-slope location in the swash zone, implying that large spatial gradients in shear stresses can occur on the foreshore. The mean tangential force per unit area supplied to the bed is offshore directed for the simulated cases, with the exception of the mild-slope (1:25) cases, owing to the skewed nature of swash flows. The temporal evolution of the momentum balance inside the swash zone shows an important contribution to the total force from turbulence and advection at the early/final stage of the swash cycle, whereas the local acceleration does not appear to be a significant contribution.

AB - [1] A numerical model solving the Reynolds-Averaged Navier-Stokes equations, with a volume of fluid-tracking scheme and turbulence closure, is employed for estimating hydrodynamics in the swash zone. Model results for run-up distance, water depth, and near-bed velocity are highly correlated (r2 > 0.97) with ensemble-averaged dam-break-driven swash data. Moreover, modeled bed shear stresses are within 20% of estimates derived from measured velocity profiles. Dam-break-driven swash simulations are conducted to determine the effect of foreshore characteristics (bed roughness and foreshore slope) on bore-induced swash-zone hydrodynamics and bed shear stresses. Numerical results revealed that the boundary layer vanishes during flow reversal, grows during the backwash, and becomes depth limited at the end of the swash cycle. In general, the uprush experiences larger shear stresses but for a shorter duration than the backwash. Some variability in this pattern is observed depending on the bed roughness, foreshore slope, and cross-slope location in the swash zone, implying that large spatial gradients in shear stresses can occur on the foreshore. The mean tangential force per unit area supplied to the bed is offshore directed for the simulated cases, with the exception of the mild-slope (1:25) cases, owing to the skewed nature of swash flows. The temporal evolution of the momentum balance inside the swash zone shows an important contribution to the total force from turbulence and advection at the early/final stage of the swash cycle, whereas the local acceleration does not appear to be a significant contribution.

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