Layer-average turbidity models lose their range of validity and, besides, may generate instabilities when the concentration of suspended material in the hyperpycnal tongue is highly reduced due to deposit (as r=rho_1/rho_2 approx 1).
If you have expertise on this subject, how would you model these effects in a turbidity current model?
Important item: one thing is what it really happens in nature, and another different thing is how to effectively model this.
Meng Cao and I have been establishing a systematic mathematical modelling of suspended sediment in turbulent environmental flows---theoretical at this stage so it does need experimental verification. Download the preprint from http://arxiv.org/abs/1407.1579 The title and abstract are:
Modelling suspended sediment in environmental turbulent fluids
Meng Cao, A. J. Roberts
Modelling sediment transport in environmental turbulent fluids is a challenge. This article develops a sound model of the lateral transport of suspended sediment in environmental fluid flows such as floods and tsunamis. The model is systematically derived from a 3D turbulence model based on the Smagorinski large eddy closure. Embedding the physical dynamics into a family of problems and analysing linear dynamics of the system, centre manifold theory indicates the existence of slow manifold parametrised by macroscale variables. Computer algebra then constructs the slow manifold in terms of fluid depth, depth-averaged lateral velocities, and suspended sediment concentration. The model includes the effects of sediment erosion, advection, dispersion, and also the interactions between the sediment and turbulent fluid flow. Vertical distributions of the velocity and concentration in steady flow agree with the established experimental data. Numerical simulations of the suspended sediment under large waves show that the developed model predicts physically reasonable phenomena.
Does this help?:
https://www.researchgate.net/publication/267158828_Turbidity_maximum_formation_in_a_well-mixed_macrotidal_estuary_The_role_of_tidal_pumping
Article Turbidity maximum formation in a well-mixed macrotidal estua...
Thanks Joao, but (although only the abstract available) I do not think in this work you proposed is the answer to my question. I take advantage that I uploaded a very draft version of our work to make it clearer the kind of models we work with (link here)
For A.J. Roberts I still have to read your work in detail, but I also think that I cannot find the answer to my very specific question in it.
Article Improvements on turbidity current models. Application to Adr...
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