A 2D extension of a large time step explicit scheme (CFL>1) for unsteady problems with wet/dry boundaries

Morales-Hernandez, Mario and Hubbard, Matthew E. and Garcia-Navarro, Pilar (2014) A 2D extension of a large time step explicit scheme (CFL>1) for unsteady problems with wet/dry boundaries. Journal of Computational Physics, 263 . pp. 303-327. ISSN 0021-9991

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Abstract

A 2D Large Time Step (LTS) explicit scheme on structured grids is presented in this work. It is first detailed and analysed for the 2D linear advection equation and then applied to the 2D shallow water equations. The dimensional splitting technique allows us to extend the ideas developed in the 1D case related to source terms, boundary conditions and the reduction of the time step in the presence of large discontinuities. The boundary conditions treatment as well as the wet/dry fronts in the case of the 2D shallow water equations require extra effort. The proposed scheme is tested on linear and non-linear equations and systems, with and without source terms. The numerical results are compared with those of the conventional scheme as well as with analytical solutions and experimental data.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/727014
Keywords: Large time step scheme; Wet/dry fronts; Source terms; Dimensional splitting; 2D shallow water flows
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1016/j.jcp.2014.01.019
Depositing User: Hubbard, Matthew
Date Deposited: 27 Feb 2017 09:22
Last Modified: 04 May 2020 16:46
URI: http://eprints.nottingham.ac.uk/id/eprint/40810

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