In the work about the numerical simulation of Lituya Bay mega-tsunami (https://www.researchgate.net/publication/265250065_Lituya_GJI) two different parameterizations for the friction terms are used:
1) A stardard Manning law for friction with the seafloor (water/seafloor and granular fluid/seafloor).
2) For the friction between the two layers of fluid and the fluidized granular material a friction law taking into account the thickness of both layers (h_1 and h_2) is used with a friction coefficient m_f whose value needs to be justified.
I would like to find a reference for these kind of friction terms between fluid layers, and an estimation of the value for m_f.
Performing a dimensional analysis m_f ~g n2 (where g is gravity and n Manning coefficient for an usual Manning law) which can give a hint.
Your comments are welcomed
Data Lituya GJI
There are a number of papers by Roco and Shook in 1980s, where they developed models for friction and turbulence between different sediment laden layers. Although these were for pipelines, some aspects of these can be applied in your cases.
In this paper
http://www.worldscientific.com/doi/abs/10.1142/S0218202509003474
we provided a rigorous asymptotic derivation of the standard friction coefficients for river hydraulics from the full 3d turbulent flow equations. I believe something similar could be tried also in your case, but I am sure it would be far from easy....please let me know you try!
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