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Hello,

I am currently working on the simulation of flooding resulting from a breaching of a river dike. But I don't know which equation I should take. I have run TELEMAC 2D with SAINT VENANT EF and SAINT VENANT VF, and I have compared the results. According to different test cases, I have always found a different final volume (between 5 and 15%). So my question is : what is the difference between the two resolution ways in physical terms more than in numerical terms? In which case is it better to use one rather than the other? Thank you in advance.

Best regards

Josselin

Hi Josselin,

I'm not an Telemac expert. Which numerical schemes have you compared? There exist different EF and VF schemes in Telemac2d. So the differences depend on which schemes you compare.

Best regards

Leo

Hello,

Well in physical terms the same equations are solved. In numerical terms the non conservative form is solved in FE and the conservative form in FV. Anyway there may be also differences between different options within FE or FV. The differences you find are not amazing and tell you what accuracy you can expect with your mesh. Think also that Saint-Venant equations are themselves an approximation, and that Navier-Stokes equations would give another result. Conclusion: the expertise of users is important.

With best regards,

Jean-Michel Hervouet