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A Simplified Adaptive Cartesian Grid System for Solving the 2D Shallow Water Equations

Lookup NU author(s): Professor Qiuhua Liang

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Abstract

This paper presents a new simplified grid system that provides local refinement and dynamic adaptation for solving the 2D shallow water equations (SWEs). Local refinement is realized by simply specifying different subdivision levels to the cells on a background uniform coarse grid that covers the computational domain. On such a non-uniform grid, the structured property of a regular Cartesian mesh is maintained and neighbor information is determined by simple algebraic relationships, i.e. data structure becomes unnecessary. Dynamic grid adaptation is achieved by changing the subdivision level of a background cell. Therefore, grid generation and adaptation is greatly simplified and straightforward to implement. The new adaptive grid-based SWE solver is tested by applying it to simulate three idealized test cases and promising results are obtained. The new grid system offers a simplified alternative to the existing approaches for providing adaptive mesh refinement in computational fluid dynamics.

Publication metadata

Author(s): Liang Q

Publication type: Article

Publication status: Published

Journal: International Journal for Numerical Methods in Fluids

Year: 2012

Volume: 69

Issue: 2

Pages: 442-458

Print publication date: 20/05/2012

Online publication date: 08/04/2011

Acceptance date: 22/02/2011

ISSN (print): 0271-2091

ISSN (electronic): 1097-0363

Publisher: John Wiley & Sons Ltd.

URL: http://dx.doi.org/10.1002/fld.2568

DOI: 10.1002/fld.2568

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