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Robust absorbing boundary conditions for shallow water flow models

Lookup NU author(s): Dr Jingming Hou, Professor Qiuhua Liang, Dr Xilin Xia

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Abstract

© 2015, Springer-Verlag Berlin Heidelberg. This paper investigates the cause of the spurious waves generated at the domain boundaries and proposes robust absorbing conditions in 2D shallow water simulations. The spurious waves are caused by the missing information when imposing boundary conditions for subcritical flows over irregular topography adjacent to the boundaries. The resulting boundary disturbances are likely to affect the flow solution inside the domain. To prevent the generation of such boundary spurious waves, an approach is proposed by extending the computational domain in the normal direction by a small number of cells. The number of extended cells is properly determined through numerical experiments by taking into account the effects of wave height, water depth, boundary topographic features (i.e., bump height, bump slope and bump type) and grid resolution. Five extended cells are found to be adequate in eliminating the spurious waves and maintaining stable and accurate numerical solutions. The robustness of the proposed boundary treatment is tested and confirmed through applications to reproduce two field-scale tsunami events.

Publication metadata

Author(s): Hou J, Liang Q, Xia X

Publication type: Article

Publication status: Published

Journal: Environmental Earth Sciences

Year: 2015

Volume: 74

Issue: 11

Pages: 7407-7422

Print publication date: 01/12/2015

Online publication date: 08/09/2015

Acceptance date: 20/08/2015

ISSN (print): 1866-6280

ISSN (electronic): 1866-6299

Publisher: Springer Verlag

URL: http://doi.org/10.1007/s12665-015-4743-6

DOI: 10.1007/s12665-015-4743-6

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