Mod\'elisation num\'erique des processus de transport des s\'ediments et de l'\'evolution des fonds

TL;DR

This paper introduces a new mixing length profile based on an extension of von Kármán's similarity hypothesis, validated through experiments on sediment erosion and filling processes in fluid flows.

Contribution

It proposes a novel mixing length and velocity profile model, extending von Kármán's hypothesis, and validates it with experimental cases involving sediment transport.

Findings

The new profile outperforms existing models in test cases.

Validation shows accurate prediction of sediment erosion.

Effective in modeling sediment filling in experimental setups.

Abstract

We propose a new mixing length profile, based on an extension of von K\'arm\'an similarity hypothesis, as well as the associated mixing velocity profile. This profile was compared with other profiles and was tested on three academic and experimental cases. The validation of the model was made from a set of reference examples and concerns the erosion of a bottom of sand in a uniform flow, and the filling of an extraction pit resulting from the tests presented in the European project SANDPIT. -- On propose un nouveau profil de longueur de m\'elange lm (z), bas\'e sur une extension de l'hypoth\`ese de similitude de von K\'arm\'an, ainsi que le profil de vitesse de m\'elange associ\'e. Ce profil a \'et\'e compar\'e \`a d'autres profils et test\'e sur trois cas test acad\'emiques et exp\'erimentaux. La validation du mod\`ele a \'et\'e effectu\'ee \`a partir d'un ensemble d'exemples de r\'ef\'erences et concernent l'\'erosion d'un fond de sable \'erodable dans un \'ecoulement uniforme en canal, et le remplissage d'une fosse d'extraction issus des essais pr\'esent\'es dans le projet Europ\'een SANDPIT.