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Lookup NU author(s): Professor Qiuhua Liang
A simple method is proposed for treating curved or irregular boundaries in Cartesian grid shallow flow models. It directly evaluates fictional values in 'ghost' cells adjacent to boundary cells and requires no interpolation or generation of cut cells. The boundary treatment is implemented in a dynamically adaptive quadtree grid-based solver of the hyperbolic shallow water equations and validated against several test cases with analytical or alternative numerical solutions. The method is easy to code, accurate, and demonstrably effective in dealing with irregular computational domains in shallow flow simulations. Results are presented for still water in a basin of complicated geometry, steady hydraulic jump in an open channel with a converging sidewall, wind-induced circulation in a circular shallow lake, and shock wave diffraction in a channel containing a contraction and expansion. Copyright © 2007 John Wiley & Sons, Ltd.
Author(s): Liang Q, Borthwick AGL
Publication type: Article
Publication status: Published
Journal: International Journal for Numerical Methods in Fluids
Year: 2008
Volume: 56
Issue: 11
Pages: 2091-2110
ISSN (print): 0271-2091
ISSN (electronic): 1097-0363
Publisher: John Wiley & Sons Ltd.
URL: http://dx.doi.org/10.1002/fld.1615
DOI: 10.1002/fld.1615
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