- 16 Aug 2022
- 4 Minutes to read
- Updated on 16 Aug 2022
- 4 Minutes to read
CES (Conveyance Estimation System) Section offers an alternative method of calculating conveyance for a River Section, using the Depth-Integrated Reynolds-Averaged Navier-Stokes Method.
|Field in Data Entry Form|
Name in Datafile
Node label for cross section
First spill label
Second spill label
Distance to Next
Distance to next cross section (a zero specifies the end of the reach) (m)
slope estimate (m/m)
default sinuosity (m/m)
Number of ensuing data lines
Cross chainage (m)
Elevation of bed (mAD)
One of the following:
Sinuosity of the river between the current left bank and the next right bank, if different from the default sinuosity. Only used if there is a left bank marker on the same line
The words LEFT', 'RIGHT', or 'BED' specifying the left bank top, right bank top and thalweg. These are for plotting purposes in the Flood Modeller UI only, and are not used in the calculation. Defaults are to the first, last and minimum levels specified respectively. A 'D' marker may also be used in this field to specify the lateral limits of dredging for the mobile bed sediment transport module, 1D Sediment Transport solver
Easting of point
Northing of point
Number of ensuing roughness zone lines
Roughness zone name
Roughness in zone
- The bank markers must appear in pairs separated only by lines without bank markers, as follows:
- LI must be followed by RO
- LO must be followed by RI
- LS must be followed by RS
- RO must be preceded by LI
- RI must be preceded by LO
- RS must be preceded by LS
Theory and Guidance
The CES Section offers a new, alternative method of calculating conveyance for a River Section. The approach uses the Depth-Integrated Reynolds-Averaged Navier-Stokes Method.
For advice on setting up CES sections e.g. positioning of bank markers, and the advanced options that are available, please refer to Conveyance User Manual.
Conveyance is calculated at a given water level through calculating the lateral unit flow rate q (m2s-1) distribution, integrating q across the section to determine the total flow rate Q (m3s-1 ) and then dividing by the square root of the longitudinal slope S to obtain the total section conveyance K (m3s-1) i.e.
Here, S is approximated from the reach-averaged longitudinal bed slope. The unit flow rate distribution is based on the depth-integrated Reynolds-Averaged Navier-Stokes [RANS] equation for flow in the streamwise direction, with empirical closure for the estimation of certain depth-integrated stresses, i.e.
1.0 = s (inbank)
1.0 £ s £ 1.015 (overbank)
s > 1.0 (inbank)
s > 1.015 (overbank)
g is the gravitational acceleration (m.s-2)
H is the local depth normal to the channel bed (m)
h is the surface water level (m)
y is the lateral distance across the channel (m)
b is the coefficient to account for influence of local bedslope on the bed shear stress
s is the reach-averaged sinuosity
For solution of Equation (2), the cross-section is discretised laterally (Figure 1) into 100 divisions (default value) and there are 25 (default value) depths for solution.
Equation (2) has four calibration coefficients: the local friction factor f, the dimensionless eddy viscosity l , the secondary flow parameter G and the coefficient of meandering Cuv. For detailed descriptions of the models for estimating these calibration coefficients see DEFRA/EA (2003, 2004a & 2004b). Variation of the calculation parameters is permissible. Advice on how these parameters may be varied to optimise model predictions is available in DEFRA/EA (2004b).
 DEFRA/EA, 2003, Reducing Uncertainty in River Flood Conveyance, Interim Report 2: Review of Methods for Estimating Conveyance, Project W5A- 057, HR Wallingford Ltd., United Kingdom.
DEFRA/EA, 2004, Reducing Uncertainty in River Flood Conveyance, Interim Report 3:Further Validation of stage-discharge prediction, application within Flood Modeller and Development and Statement of Advice on Uncertainty, Project W5A- 057, HR Wallingford Ltd., United Kingdom.
EA/DEFRA, 2004b, Reducing Uncertainty in River Flood Conveyance: Conveyance Manual, Project W5A- 057, HR Wallingford Ltd., United Kingdom.
The general parameters section of the DAT file contains an absolute path to the roughness file:
Line 1 - Title - Up to 40 characters
Line 2 - #REVISION#1
Line 3 - Nnodes Frmin Frmax Dmin Stol
Line 4 - T Qtol Htol Θ P α η
Line 5 - RAD FILE
Line 6 - Absolute path to roughness file
Line 7 - END GENERAL
Items in square brackets are optional. Items in capitals are keywords.
Line 1 - RIVER [comment]
Line 2 - CES SECTION #REVISION#1
Line 3 - Label1 [Label2] [Label3] [Lateral 1] [Lateral 2] [Lateral 3] [Lateral 4]
Line 4 - dx [yshift] slope def_sinuosity
Line 5 - n1
Line 6 to Line 5+n1- c z [bank] [sinuosity] [lrb] [easting] [northing]
Line 6+n1- n2
Line 7+n 1 to Line 6+ n1 + n2 - c rz
- Line 3 is in fields of either 8 or 12 characters, depending on a parameter set globally for the model. Lines 4 and 5 are in fields of 10 characters. The section data lines are F10.0, F10.0, A10, F10.0, A10, F10.0, F10.0. The roughness zone lines are F10.0, A.