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Hi,

I am doing a literature review on Telemac-2D applying to landslide generated wave propagation in a reservoir and wave run-up simulation. I could not find much papers out there. Could you please point me a right direction to search the info?

Thanks a lot,
Shielan

Hello,

There was a study on a would be landslide in a reservoir (report in French and most probably confidential). The landslide was simulated by a sudden discharge of water on a bank. There was a difference between Saint-Venant equations and Boussinesq equations and eventually the study was done with Boussinesq equations.

With best regards,

Jean-Michel Hervouet

Thank you very much!

We are doing a project by introducing a solitary-like wave at landslide impact zone as the boundary condition. Could you please demonstrate what the major differences between Saint-Venant equations and Boussinesq equations in terms of wave propagation and wave run-up processes and why Boussinesq equations was chosen?

Also, is it correct to set wave run-up zone as tidal flat area?

Thanks again,

Shielan

Hello,

Actually the Boussinesq equations are Saint-Venant equations with extra terms in the momentum to take into account vertical accelerations. The celerity of long waves is sqrt(gravity * depth) and it is what give the Saint-Venant equations, it is not exact for non linear waves. In our application we looked at the waves arriving at a dam. There were two waves with Saint-Venant equations and only one with Boussinesq equations.
In terms of wave run-up there is no difference, there is a reference depth with Boussinesq, this reference depth is zero on dry land, so the extra Boussinesq terms vanish.

In Telemac-2D the Boussinesq equations (you just need the keyword EQUATIONS : BOUSSINESQ in your parameter file) can only be solved with primitive equations : TREATMENT OF THE LINEAR SYSTEM : 1, with SOLVER : 7 (GMRES), so it will be more expensive than Saint-Venant with wave equation. It could even be that Telemac-3D with 2 or 3 planes is less expensive. Note that Telemac-3D with non hydrostatic option and two planes has a vertical velocity linear between bottom and free surface, which is the starting assumption of Serre equations, another "Boussinesq like" set of equations.

You can set the wave run-up zones as tidal flat area.

With best regards, have a good week-end,

Jean-Michel Hervouet

Thanks very much for getting back to me. Your explanation is very helpful!

I will go through some exercises to do the comparison between the equations with Telemac-2D by myself. Also, I will test the Telemac-3D as you mentioned as well.

With best regards and have a good weekend too,

Shielan

Hi,
the articles (and references therein):
A finite volume method for the simulation of the waves generated by landslides
by A. Serrano-Pacheco, J. Murillo, P. García-Navarro
Journal of Hydrology
Volume 373, Issues 3-4, 2011

Finite volume simulation of waves formed by sliding masses
by A. I. Delis M. Kazolea
International Journal for Numerical Methods in Biomedical Engineering, Volume 27, Issue 5, (2009)

can give you some hints about the practical aspects of landslide modelling (see also the book and article of Randall Leveque and collaborators).

All the best,

Pablo

Thank you very much for your input. I just did a quick search and read through the first paper on your list. It is a great reference to our project. Were those studies done with Telemac system or any other codes?

With best regards,
Shielan