open TELEMAC-MASCARET The mathematically superior suite of solvers

Hi everyone


I wondered the following question, as telemac enters the equation of manning in the shallow water equations ?.
I have reviewed some paper, I have come to the conclusion that:

Sx=Sy (Considering only botton friction)
Sx=Sy=T_b/ρ=ku²h abs(h)/(h^7/3)

where k=gn², n :coef manning

Does Telemac 2d solve it like this?

I would like to know also, in the case of using chezy


Thanks

Joaquin

Hello Joaquin

Sorry for this late reply.
Your question needs a very long post. I will try to summarize but you should to have a deeper look on the book of Jean Michel Hervouet (for finite elements) or an other paper dealing with finite volumes (see for instance my [url=A Weighted Average Flux (WAF) scheme applied to shallow water equations for real-life applications" in ADVANCES IN WATER RESOURCES, v. 62, (2013), p. 155-172. - DOI: 10.1016/j.advwatres.2013.09.019]paper Ata et al[/url].)

The main idea is that this strongly non linear term is discretized in a semi-implicit way. With this option Sx will be written using U(at time n+1) and ||U|| (norm of u at time n (sqrt(U^2+V^2)) ) and H (water depth at time n+1)

Manning coefficient is the inverse of Strickler coefficient.

I hope that this helps

with my best regards

Riadh