Model help:WPHydResAMBL: Difference between revisions

From CSDMS
(Created page with "<!-- How to create a new "Model help" page: 1) Log in to the wiki 2) Create a new page for each model, by using the following URL: * http://csdms.colorado.edu/wiki/Model help:...")
 
No edit summary
Line 59: Line 59:
|}
|}
::::{|
::::{|
|width=500px|<math>U = 8.32 sqrt \left ( g H_{s} S \right ) \left ( {\frac{H_{s}}{k_{s}}} \right ) ^ \left ( {\frac{1}{6}} \right ) </math>
|width=500px|<math>U = 8.32 \sqrt { g H_{s} S } \left ( {\frac{H_{s}}{k_{s}}} \right ) ^ \left ( {\frac{1}{6}} \right ) </math>
|width=50px align="right"|(2)
|width=50px align="right"|(2)
|}
|}
Line 67: Line 67:
|}
|}
::::{|
::::{|
|width=500px|<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>
|width=500px|<math>H = [ \Gamma {\frac{R D_{s50}}{S}} \left ( {\frac{\sqrt { g }}{U}} \right ) ^ \left ( 0.7 \right ) ] ^ \left ( {\frac{20}{13}} \right ) </math>
|width=50px align="right"|(4)
|width=50px align="right"|(4)
|}
|}
Line 79: Line 79:
|}
|}
::::{|
::::{|
|width=500px|<math>Fr = {\frac{U}{sqrt \left ( g H \right )}} </math>
|width=500px|<math>Fr = {\frac{U}{\sqrt { g H }}} </math>
|width=50px align="right"|(7)
|width=50px align="right"|(7)
|}
|}
::::{|
::::{|
|width=500px|<math>u_{*} = sqrt \left ( g H S \right ) </math>
|width=500px|<math>u_{*} = \sqrt { g H S } </math>
|width=50px align="right"|(8)
|width=50px align="right"|(8)
|}
|}
::::{|
::::{|
|width=500px|<math>u_{*s} = sqrt \left ( g H_{s} S \right ) </math>
|width=500px|<math>u_{*s} = \sqrt { g H_{s} S } </math>
|width=50px align="right"|(9)
|width=50px align="right"|(9)
|}
|}
::::{|
::::{|
|width=500px|<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>
|width=500px|<math>q_{b} = \sqrt { R g D_{50} } D_{50} \left ( \tau _{s} ^* - 0.05 \right ) \left ( \sqrt { \tau _{s} ^* } - \sqrt { 0.05 } \right ) </math>
|width=50px align="right"|(10)
|width=50px align="right"|(10)
|}
|}
Line 120: Line 120:
| submerged specific gravity of sediment
| submerged specific gravity of sediment
| -
| -
|-
| n
| factor in the roughness height calculation
| -
|-
| H
| low end value of water depth due to skin friction
| m
|-
| s
| step size for water depth due to skin friction
| m
|-
| N
| number of steps to make
| -
|-
| a
| factor for stratification (if not included it will be assumed 1)
| -
|-
| H<sub>s</sub>
| water depth due to the skin friction
| m
|-
| τ<sub>sg</sub>
| shields stress due to skin friction
| N / m<sup>2</sup>
|-
| U
| flow velocity
| m / s
|-
| γ
| parameter with no physical meaning (used in calculations of H)
| -
|-
| q<sub>w</sub>
| flow rate
| m<sup>2</sup> / s
|-
| τ
| actual shields stress
| N / m<sup>2</sup>
|-
| Fr
| Froude number
| -
|-
| u<sup>*</sup>
| shear velocity
| m / s
|-
| u<sup>*</sup>s
| shear velocity due to skin friction
| m / s
|-
| q<sub>b</sub>
| bedload transport rate
| m<sup>2</sup> / s
|-
|}
|}


Line 125: Line 186:
</div>
</div>
==Notes==
==Notes==
<span class="remove_this_tag">Any notes, comments, you want to share with the user</span>
The program takes the inputs given above; the α<sub>strat</sub> is an optional parameter that may be entered; if the user chooses not to include it, it will automatically be set to 1, and stratification will not be taken into account.
 
<span class="remove_this_tag">Numerical scheme</span>
 


==Examples==
==Examples==

Revision as of 15:13, 2 May 2011

The CSDMS Help System
The CSDMS Help System

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

Parameter Description Unit
First parameter Description parameter [Units]
Parameter Description Unit
First parameter Description parameter [Units]

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 { g H_{s} S } \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 = [ \Gamma {\frac{R D_{s50}}{S}} \left ( {\frac{\sqrt { g }}{U}} \right ) ^ \left ( 0.7 \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 { g H }}} </math> (7)
<math>u_{*} = \sqrt { g H S } </math> (8)
<math>u_{*s} = \sqrt { g H_{s} S } </math> (9)
<math>q_{b} = \sqrt { R g D_{50} } D_{50} \left ( \tau _{s} ^* - 0.05 \right ) \left ( \sqrt { \tau _{s} ^* } - \sqrt { 0.05 } \right ) </math> (10)

Notes

The program takes the inputs given above; the αstrat is an optional parameter that may be entered; if the user chooses not to include it, it will automatically be set to 1, and stratification will not be taken into account.

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:

See also: Help:Images or Help:Movies

Developer(s)

Gary Parker

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

Links

Retrieved from "https://csdms.colorado.edu/csdms_wiki/index.php?title=Model_help:WPHydResAMBL&oldid=21920"