Skip navigation
Skip navigation

Numerical solution of the fully non-linear weakly dispersive serre equations for steep gradient flows

Zoppou, Christopher; Pitt, Jordan; Roberts, Stephen


We demonstrate a numerical approach for solving the one-dimensional non-linear weakly dispersive Serre equations. By introducing a new conserved quantity the Serre equations can be written in conservation law form, where the velocity is recovered from the conserved quantities at each time step by solving an auxiliary elliptic equation. Numerical techniques for solving equations in conservative law form can then be applied to solve the Serre equations. We demonstrate how this is achieved. The...[Show more]

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
Source: Applied Mathematical Modelling
DOI: 10.1016/j.apm.2017.03.059


There are no files associated with this item.

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator