Liang, D (2011) *Shallow water equations: Magic and limitations.* International Water Power and Dam Construction, 63. pp. 35-37. ISSN 0306-400X

## Abstract

D Liang from Cambridge University explains the shallow water equations and their applications to the dam-break and other steep-fronted flow modeling. They assume that the horizontal scale of the flow is much greater than the vertical scale, which means the flow is restricted within a thin layer, thus the vertical momentum is insignificant and the pressure distribution is hydrostatic. The left hand sides of the two momentum equations represent the acceleration of the fluid particle in the horizontal plane. If the fluid acceleration is ignored, then the two momentum equations are simplified into the so-called diffusion wave equations. In contrast to the SWEs approach, it is much less convenient to model floods with the Navier-Stokes equations. In conventional computational fluid dynamics (CFD), cumbersome treatments are needed to accurately capture the shape of the free surface. The SWEs are derived using the assumptions of small vertical velocity component, smooth water surface, gradual variation and hydrostatic pressure distribution.

Item Type: | Article |
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Subjects: | UNSPECIFIED |

Divisions: | UNSPECIFIED |

Depositing User: | Cron Job |

Date Deposited: | 02 Sep 2016 17:35 |

Last Modified: | 29 Sep 2016 10:22 |

DOI: |