Strongly nonlinear models for internal waves: an application for the dam-break problem

2016/06/23 by Shengqian Chen, Chen, Shengqian
Earth and Planetary Sciences · #Coastal and Marine Dynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Ocean Waves and Remote Sensing #Oceanographic and Atmospheric Processes

paper · pdf · doi:10.48550/arxiv.1606.07319

openalex publication_date 2016/06/23 · openalex created_date 2016/07/22 · openalex updated_date 2026/07/28

Abstract

Strongly nonlinear models of internal wave propagation for incompressible stratified Euler fluids are investigated numerically and analytically to determine the evolution of a class of initial conditions of interest in laboratory experiments. This class of step-like initial data severely tests the robustness of the models beyond their strict long-wave asymptotic validity, and model fidelity is assessed by direct numerical simulations (DNS) of the parent Euler system. It is found that the primary dynamics of near-solitary wave formation is remarkably well predicted by the models for both wave and fluid properties, at a fraction of the computational costs of the DNS code.

Related

• Weakly nonlinear models for internal waves: inverse scattering transform and solitary wave contents
• Experimental investigation of nonlinear internal waves in deep water\n with miscible fluids
• Internal solitary and cnoidal waves of moderate amplitude in a two-layer fluid: the extended KdV equation approximation
• On multisolitonic decay behavior of internal gravity waves
• Phase shifting, dispersion variation and defocusing suppression in wave breaking