TY - JOUR

T1 - On the modelling of shallow turbidity flows

AU - Liapidevskii, Valery Yu

AU - Dutykh, Denys

AU - Gisclon, Marguerite

N1 - Publisher Copyright: © 2018 Elsevier Ltd

PY - 2018/3/1

Y1 - 2018/3/1

N2 - In this study we investigate shallow turbidity density currents and underflows from mechanical point of view. We propose a simple hyperbolic model for such flows. On one hand, our model is based on very basic conservation principles. On the other hand, the turbulent nature of the flow is also taken into account through the energy dissipation mechanism. Moreover, the mixing with the pure water along with sediments entrainment and deposition processes are considered, which makes the problem dynamically interesting. One of the main advantages of our model is that it requires the specification of only two modeling parameters — the rate of turbulent dissipation and the rate of the pure water entrainment. Consequently, the resulting model turns out to be very simple and self-consistent. This model is validated against several experimental data and several special classes of solutions (such as travelling, self-similar and steady) are constructed. Unsteady simulations show that some special solutions are realized as asymptotic long time states of dynamic trajectories.

AB - In this study we investigate shallow turbidity density currents and underflows from mechanical point of view. We propose a simple hyperbolic model for such flows. On one hand, our model is based on very basic conservation principles. On the other hand, the turbulent nature of the flow is also taken into account through the energy dissipation mechanism. Moreover, the mixing with the pure water along with sediments entrainment and deposition processes are considered, which makes the problem dynamically interesting. One of the main advantages of our model is that it requires the specification of only two modeling parameters — the rate of turbulent dissipation and the rate of the pure water entrainment. Consequently, the resulting model turns out to be very simple and self-consistent. This model is validated against several experimental data and several special classes of solutions (such as travelling, self-similar and steady) are constructed. Unsteady simulations show that some special solutions are realized as asymptotic long time states of dynamic trajectories.

KW - Conservation laws

KW - Density flows

KW - Finite volumes

KW - Self-similar solutions

KW - Shallow water flows

KW - Travelling waves

KW - Turbidity currents

UR - http://www.scopus.com/inward/record.url?scp=85044385329&partnerID=8YFLogxK

U2 - 10.1016/j.advwatres.2018.01.017

DO - 10.1016/j.advwatres.2018.01.017

M3 - Article

AN - SCOPUS:85044385329

VL - 113

SP - 310

EP - 327

JO - Advances in Water Resources

JF - Advances in Water Resources

SN - 0309-1708

ER -