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TOPIC: Saint Venant equation for T2D

Saint Venant equation for T2D 8 years 1 month ago #24038

  • donnykim27
  • donnykim27's Avatar
Hi every one.

I came up with one simple curiosity since I did not major in engineering.

I thought TELEMAC-2D uses shallow water equation. However, I found someone explaining T2D as a model using simplified 1D Saint Venant equation, but...T2D hands out the result for u and v. Hmmm...

Then, I even found someone saying T2D uses depth integrated Navier-Stoke equation. SWE can be derived from depth-integrated Navier Stoke's, but is it exactly right to say so?

It's kinda confusing to me.

Saint Venant EF: Shallow water equation(2D Saint Venant)
Saint Venant VF: 2D Multi layer Saint Venant
Boussinesq : Boussinesq Equation

Am I understanding right?
I know it's kinda "novice" question, but I want to make it clear for myself.
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Saint Venant equation for T2D 8 years 1 month ago #24051

  • riadh
  • riadh's Avatar
Hello

Telemac-2D solves for 2D shallow water equations using finite elements (EF) and finite volumes (FV) methods.
shallow water equations can be obtained using a depth averaging of Navier stokes equations. Thus the obtained equations use 2D velocity components and the water elevations as unknowns.
Boussinesq equations are an intermediate form between SWE and Navier Stokes.

I hope that this helps

Riadh ATA
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