Quasi two-dimensional model for straight overbank flows through emergent

The paper presents a quasi two-dimensional (2D) model calculating depth-averaged velocity and bed shear stress in a straight compound channel with a vegetated floodplain. The model numerically solves the depth-averaged Navier–Stokes equation for the streamwise motion of flow (quasi 2D). Reduction in volume of water due to vegetation is modelled as porosity. Drag force due to vegetation is modelled as an additional momentum sink term in the Navier–Stokes equation. Estimation methods for model parameters—drag coefficient, shading factor, porosity, friction factor, eddy viscosity and advection term—are discussed. The predictive capability of the model is assessed against experimental data with regard to distributions of depth-averaged velocity, bed shear stress, transverse shear stress and stage-discharge. The results show that the quasi 2D model reproduces a reasonable simulation of the flow field.

[1]  P. Ackers Hydraulic design of straight compound channels. Volume 1 - summary and design method, Volume 2 - appendices , 1991 .

[2]  W. R. Myers,et al.  Velocity and Discharge in Compound Channels , 1987 .

[3]  CAROLINE MC GAHEY METHODOLOGY FOR CONVEYANCE ESTIMATION IN TWO-STAGE STRAIGHT, SKEWED AND MEANDERING CHANNELS , 2003 .

[4]  I. Nezu,et al.  Turbulent Structure in Compound Open‐Channel Flows , 1991 .

[5]  J. A. Battjes,et al.  Momentum Exchange in Straight Uniform Compound Channel Flow , 2005 .

[6]  P. R. Wormleaton,et al.  An improved method of calculation for steady uniform flow in prismatic main channel/flood plain sections , 1990 .

[7]  J. Spurk Boundary Layer Theory , 2019, Fluid Mechanics.

[8]  Iehisa Nezu,et al.  Hydrodynamic Behavior of Partly Vegetated Open Channels , 1996 .

[9]  D. Knight,et al.  Turbulent open-channel flows with variable depth across the channel , 1991, Journal of Fluid Mechanics.

[10]  D. Knight,et al.  Turbulence measurements in a shear layer region of a compound channel , 1990 .

[11]  J. Fischenich,et al.  Environmental considerations for vegetation in flood control channels , 2001 .

[12]  E. Pasche,et al.  Overbank Flow with Vegetatively Roughened Flood Plains , 1985 .

[13]  H. Nepf Drag, turbulence, and diffusion in flow through emergent vegetation , 1999 .

[14]  M. Lambert,et al.  Discharge prediction in straight compound channels using the mixing length concept , 1996 .

[15]  K. Babaeyan-Koopaei,et al.  Two-Dimensional Solution for Straight and Meandering Overbank Flows , 2000 .

[16]  Donald W. Knight,et al.  Stage-discharge prediction for rivers in flood applying a depth-averaged model , 2004 .