Author(s): Bastien Jouy; D. Violeau; M. Ricchiuto; M. Le; E. Demay

Linked Author(s):

Keywords: Boussinesq-type equations; Weakly dispersive nonlinear waves; Solitary wave; Favre waves; Numerical methods

Abstract: In this paper, we propose a reformulation of the Winckler-Liu model (2015), which belongs to the family of Boussinesq-type models, allowing the modeling of weakly dispersive, weakly nonlinear waves in channels of arbitrary cross-sections, even when the cross-section varies significantly within a wavelength. A decoupling of the elliptical part modeling non-hydrostatic effects from the hyperbolic part identical to the shallow water equations, is performed. This allows an easier numerical implementation in an existing code. The model is verified with an analytical solitary wave solution derived for a prismatic channel of rectangular cross-section.

DOI: https://doi.org/10.3850/978-90-833476-1-5_iahr40wc-p0091-cd

Year: 2023