# Modelling the dynamics of turbulent floods

Article

*SIAM Journal on Applied Mathematics.*63 (2), pp. 423-458. https://doi.org/10.1137/S0036139999358866

Article Title | Modelling the dynamics of turbulent floods |
---|---|

ERA Journal ID | 393 |

Article Category | Article |

Authors | Mei, Z. (Author), Roberts, A. J. (Author) and Li, Zhenquan (Author) |

Journal Title | SIAM Journal on Applied Mathematics |

Journal Citation | 63 (2), pp. 423-458 |

Number of Pages | 36 |

Year | 2002 |

Place of Publication | Philadelphia, PA. United States |

ISSN | 0036-1399 |

1095-712X | |

Digital Object Identifier (DOI) | https://doi.org/10.1137/S0036139999358866 |

Web Address (URL) | http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SMJMAP000063000002000423000001&idtype=cvips&gifs=yes |

Abstract | Consider the dynamics of turbulent flow in rivers, estuaries and floods. Based on the widely used k-epsilon model for turbulence, we use the techniques of centre manifold theory to derive dynamical models for the evolution of the water depth and of vertically averaged flow velocity and turbulent parameters. This new model for the shallow water dynamics of turbulent flow: resolves the vertical structure of the flow and the turbulence; includes interaction between turbulence and long waves; and gives a rational alternative to classical models for turbulent environmental flows. |

Keywords | keps turbulence; water waves; floods; center manifold; hydrodynamics |

ANZSRC Field of Research 2020 | 401199. Environmental engineering not elsewhere classified |

401213. Turbulent flows | |

490409. Ordinary differential equations, difference equations and dynamical systems | |

Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |

Byline Affiliations | Generation 5, Canada |

Department of Mathematics and Computing |

https://research.usq.edu.au/item/9y53v/modelling-the-dynamics-of-turbulent-floods

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