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A short note on the simulation of turbulent stratified flow and mobile bed interaction using the continuum coupled flow and morphodynamics model

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Abstract

This paper aims at addressing issues related to the misrepresentation of the turbulent stratified flow for sand wave simulation using the continuum coupled flow and morphodynamics modeling approach. continuum flow and morphodynamics frameworks often consider the contributions of (i) suspended sediment-load in the sediment mass-balance equation and (ii) stratification in the equations of fluid motion. We argue that omitting these contributions could impact the numerical simulation results of transverse sand wave development at the late stages of bed evolution. We support our argument by presenting a numerical analysis, which attempts to quantify the impact of the stratification and suspended sediment-load on the calculated bed topography during various stages of transverse sand wave evolution in a mobile bed flume.

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Acknowledgements

This work was supported by the NSF Award EAR-1823121.

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  1. Civil Engineering Department, College of Engineering and Applied Sciences, Stony Brook University, Stony Brook, NY, 11794, USA

    Ali Khosronejad & Fotis Sotiropoulos

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  1. Ali Khosronejad
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  2. Fotis Sotiropoulos
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Correspondence to Ali Khosronejad.

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Appendix: Model validation for net entrainment of sediment from the mobile bed

Appendix: Model validation for net entrainment of sediment from the mobile bed

We used the experimental data of Van Rijn [57] to validate the model for net entrainment from a mobile bed. The experiment test was done in a 0.5 m wide and 10 m long mobile-bed flume with a mean-flow depth of 0.25 m, and a mean-flow velocity of 0.47 m/s. The flume’s bottom was covered with sand material with a median grain size of 1.45 mm. The incoming water into the flume has a base sediment concentration of zero. The turbulent flow over the mobile bed leads to the entrainment of sediment material into the suspension. The test case was simulated by considering 5 m of the experimental flume using a grid resolution of 0.008 m, 0.005 m, and 0.003 m in streamwise, spanwise, and vertical directions, respectively. The turbulent Schmitt number considered in the calculations was set equal to 0.5.

The simulation was run until the sediment concertation profiles throughout the flume reached equilibrium. Once at equilibrium, the concentration field was time-averaged for one flow-through time of the flow domain. Then, the vertical profiles of the time-averaged sediment concentration were taken from the centerline of the channel were compared with the measured values at three different locations downstream of the inlet. In Fig. 

Fig. 5
figure 5

Measured (circles) and computed (dashed lines) sediment concentrations (C) profiles in the water column under net entrainment from mobile bed in the experiment of Van Rijn [57]. The sediment concentration profiles are probed at the centerline of the flume, at distances equal to 1.0 m (a), 2.5 m (b), and 5.0 m (c) downstream of the inlet of the flume. The sediment concentration (C) is in volume fraction, and the vertical distance from the mobile bed (z) is non-dimensionalized with the mean-flow depth of 0.25 m

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5, we present the comparisons between the measured and calculated sediment concentrations.

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Khosronejad, A., Sotiropoulos, F. A short note on the simulation of turbulent stratified flow and mobile bed interaction using the continuum coupled flow and morphodynamics model. Environ Fluid Mech 20, 1511–1525 (2020). https://doi.org/10.1007/s10652-020-09752-8

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