Research output: Contribution to journal › Article › peer-review
On the modelling of shallow turbidity flows. / Liapidevskii, Valery Yu; Dutykh, Denys; Gisclon, Marguerite.
In: Advances in Water Resources, Vol. 113, 01.03.2018, p. 310-327.Research output: Contribution to journal › Article › peer-review
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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 -
ID: 12176481