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Simple treatment of non-aligned boundaries in a Cartesian grid shallow flow model

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.

Publication metadata

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.


DOI: 10.1002/fld.1615


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