Lagrangian Modeling of the Dynamics of River and Floodplain Flow
Publication: Journal of Hydraulic Engineering
Volume 135, Issue 10
Abstract
A new Lagrangian, dynamic river model is described. The model solves the coupled one-dimensional hydrostatic flow equations separately in a main river channel and in adjacent floodplains using a two-stage predictor-corrector scheme. The lateral interaction between the main channel and floodplains, due to both advective exchange arising from lateral pressure gradients and turbulent exchange due to lateral shear, is included. The Lagrangian moving grid eliminates numerical diffusion and oscillations commonly experienced in Eulerian models, and can accurately simulate wave propagation and nonlinear steepening until wave breaking. The Lagrangian moving grid is dynamically adaptive, providing variable resolution as the moving fluid parcel’s length changes, either because the cross-sectional flow area or the flow depth changes as the wave moves down a channel of variable cross section. The model also allows flows over dry beds and moving boundaries to be handled efficiently. The model was successfully validated for a flow induced by a simple wave in a prismatic channel, flood waves in laboratory compound channels, and flow in a natural river.
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Information
Published In
Journal of Hydraulic Engineering
Volume 135 • Issue 10 • October 2009
Pages: 771 - 782
Copyright
© 2009 ASCE.
History
Received: Jun 20, 2005
Accepted: May 27, 2009
Published online: Sep 15, 2009
Published in print: Oct 2009
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