Hyperbolic relaxation technique for solving the dispersive Serre–Green–Naghdi equations with topography

Jean-Luc Guermond,Bojan Popov,Eric Tovar,Chris Kees

Journal of Computational Physics（2022）

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摘要

•A relaxation technique for solving the dispersive Serre–Green–Naghdi equations with full topography effects is introduced.•A family of analytical solutions to the Serre–Green–Naghdi equations is proposed.•The topography effects of the models are validated against experiments.

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关键词

Shallow water equations,Dispersive Serre equations,Serre–Green–Nagdhi,Hyperbolic relaxation,Topography effects,Dispersion wave equation

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