Model help:WPHydResAMBL
From CSDMS
WPHydResAMBL
This model is an implementation of the Wright-Parker (2004) formulation for hydraulic resistance combined with the Ashida-Michiue (1972) bedload formulation.
Model introduction
This model is a Depth-Discharge and Bedload Calculator, uses: 1. Wright-Parker formulation for flow resistance (without stratification correction) 2. Ashida-Michiue formulation for bedload transport.
Model parameters
Uses ports
This will be something that the CSDMS facility will add
Provides ports
This will be something that the CSDMS facility will add
Main equations
<math>\tau_{s} ^* = {\frac{H_{s} S}{R D_{50}}} </math> (1)
<math>U = 8.32 sqrt \left ( g H_{s} S \right ) \left ( {\frac{H_{s}}{k_{s}}} \right ) ^ \left ( {\frac{1}{6}} \right ) </math> (2)
<math>\Gamma = \left ( {\frac{\tau _{s} ^* - 0.05 }{0.7}} \right ) ^ \left ( {\frac{5}{4}} \right ) </math> (3)
<math>H = \left ( \Gamma {\frac{R D_{s50}}{S}} \left ( {\frac{sqrt \left ( g \right )}{U}} \right ) ^ \left ( 0.7 \right ) \right ) ^ \left ( {\frac{20}{13}} \right ) </math> (4)
<math>q_{w} = U H </math> (5)
<math>\tau ^* = {\frac{H S}{R D_{50}}} </math> (6)
<math>Fr = {\frac{U}{sqrt \left ( g H \right )}} </math> (7)
<math>u_{*} = sqrt \left ( g H S \right ) </math> (8)
<math>u_{*s} = sqrt \left ( g H_{s} S \right ) </math> (9)
<math>q_{b} = sqrt \left ( R g D_{50} \right ) D_{50} \left ( \tau _{s} ^* - 0.05 \right ) \left ( sqrt \left ( \tau _{s} ^* \right ) - sqrt \left ( 0.05 \right ) \right ) </math> (10)
Nomenclature
| Symbol | Description | Unit |
|---|---|---|
| S | bed slope | - |
| D50 | median sediment size | mm |
| D90 | size such that 90% of the sediment is finer | mm |
| nk | factor such that ks = nk Ds90 | mm |
| R | submerged specific gravity of sediment | - |
Notes
Any notes, comments, you want to share with the user
Numerical scheme
Examples
An example run with input parameters, BLD files, as well as a figure / movie of the output
Follow the next steps to include images / movies of simulations:
- Upload file: http://csdms.colorado.edu/wiki/Special:Upload
- Create link to the file on your page: [[Image:<file name>]].
See also: Help:Images or Help:Movies
Developer(s)
References
- Wright, S. and Parker, G., 2004, Flow resistance and suspended load in sand-bed rivers: simplified stratification model, Journal of Hydraulic Engineering.
- Ashida, K. and M. Michiue, 1972, Study on hydraulic resistance and bedload transport rate in alluvial streams, Transactions, Japan Society of Civil
