Stability of roll waves in open channel flows

Abdelaziz Boudlal (1) , V. Yu Liapidevskii

1 LML - Laboratoire de Mécanique de Lille - FRE 3723

The stability of finite amplitude roll waves that may develop at a liquid free surface in inclined open channels of arbitrary cross-section is studied. In the framework of shallow water theory with turbulent friction the modulation equations for wave series are derived and a nonlinear stability criterion is obtained.

Mots clés: fluid mechanics; free surface flows; roll waves stability; open channel flows; shallow water flows

Abdelaziz Boudlal, V. Yu Liapidevskii. Stability of roll waves in open channel flows. Comptes Rendus Mécanique, 2002, 330 (4), pp.291-295. ⟨10.1016/S1631-0721(02)01461-4⟩. ⟨hal-00140137⟩