Modelling the dynamics of turbulent floods

dc.contributor.authorMei, Z.
dc.contributor.authorRoberts, A.
dc.contributor.authorLi, Z.
dc.date.issued2003
dc.description©2002 Society for Industrial and Applied Mathematics
dc.description.abstractConsider the dynamics of turbulent flow in rivers, estuaries, and floods. Based on the widely used κ-ε model for turbulence, we use the techniques of center 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.
dc.description.statementofresponsibilityA. J. Roberts, Z. Mei, and Zhenquan Li
dc.identifier.citationSIAM Journal on Applied Mathematics, 2003; 63(2):423-458
dc.identifier.doi10.1137/S0036139999358866
dc.identifier.issn0036-1399
dc.identifier.issn1095-712X
dc.identifier.orcidRoberts, A. [0000-0001-8930-1552]
dc.identifier.urihttp://hdl.handle.net/2440/50937
dc.language.isoen
dc.publisherSiam Publications
dc.source.urihttps://doi.org/10.1137/s0036139999358866
dc.subjectkeps turbulence
dc.subjectwater waves
dc.subjectfloods
dc.subjectcenter manifold
dc.titleModelling the dynamics of turbulent floods
dc.typeJournal article
pubs.publication-statusPublished

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