Abstract
A depth-averaged quasi single-phase mixture model is proposed for debris flows over inclined bed slopes based on the shallow water hydrosediment-morphodynamic theory with multi grain sizes. The stresses due to fluctuations are incorporated based on analogy to turbulent flows, as estimated using the depth-averaged k − ε turbulence model and a modification component. A fully conservative numerical algorithm, using wellbalanced slope limited centred scheme, is deployed to solve the governing equations. The present quasi single-phase model using four closure relationships for the bed shear stresses is evaluated against USGS experimental debris flow and compared with traditional quasi single-phase models and a recent physically enhanced two-phase model. It is found that the present quasi single-phase model performs much better than the traditional models, and is attractive in terms of computational cost while the two-phase model performs even better appreciably.
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The work reported in this manuscript is funded by Natural Science Foundation of China (Grants Nos. 51279144 and 11432015).
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Xia, Cc., Li, J., Cao, Zx. et al. A quasi single-phase model for debris flows and its comparison with a two-phase model. J. Mt. Sci. 15, 1071–1089 (2018). https://doi.org/10.1007/s11629-018-4886-5
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DOI: https://doi.org/10.1007/s11629-018-4886-5