dorsal/arxiv
View SchemaModelling the dynamics of turbulent floods
| Authors | Z. Mei, A. J. Roberts, Zhenquan Li |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9907001 |
| URL | https://arxiv.org/abs/patt-sol/9907001 |
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.
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"date_created": "2026-03-02T18:00:29.444000Z",
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"abstract": "Consider the dynamics of turbulent flow in rivers, estuaries and floods.\nBased on the widely used k-epsilon model for turbulence, we use the techniques\nof centre manifold theory to derive dynamical models for the evolution of the\nwater depth and of vertically averaged flow velocity and turbulent parameters.\nThis new model for the shallow water dynamics of turbulent flow: resolves the\nvertical structure of the flow and the turbulence; includes interaction between\nturbulence and long waves; and gives a rational alternative to classical models\nfor turbulent environmental flows.",
"arxiv_id": "patt-sol/9907001",
"authors": [
"Z. Mei",
"A. J. Roberts",
"Zhenquan Li"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"title": "Modelling the dynamics of turbulent floods",
"url": "https://arxiv.org/abs/patt-sol/9907001"
},
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"type": "Model",
"variant": "snapshot-2026-03-01",
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