Model help:RouseVanoniEquilibrium: Difference between revisions
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==Model parameters== | ==Model parameters== | ||
= | = Input Files and Directories = | ||
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!Parameter!!Description!!Unit | !Parameter!!Description!!Unit | ||
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|width="20%"| | |width="20%"|Input directory | ||
|width="60%"| | |width="60%"|path to input files | ||
|width="20%"| | |width="20%"| | ||
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|Site prefix | |||
|Site prefix for Input/Output files | |||
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|Case prefix | |||
|Case prefix for Input/Output files | |||
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= | = Run Parameters = | ||
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!Parameter!!Description!!Unit | !Parameter!!Description!!Unit | ||
|-valign="top" | |-valign="top" | ||
|width="20%"| | |width="20%"|non-dimensional distance from the bed | ||
|width="60%"| | |width="60%"|non-dimensional height in the water column | ||
|width="20%"|< | |width="20%"| - | ||
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|vs settling velocity | |||
|settling velocity of the particles | |||
| cm / s | |||
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|u<sup>*</sup> shear velocity | |||
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| m / s | |||
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= | = About = | ||
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!Parameter!!Description!!Unit | |||
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|width="20%"|Model name | |||
|width="60%"|name of the model | |||
|width="20%"| - | |||
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|Author name | |||
|name of the model author | |||
| - | |||
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<headertabs/> | <headertabs/> | ||
==Uses ports== | ==Uses ports== |
Revision as of 11:56, 6 May 2011
RouseVanoniEquilibrium
This Program is used to calculate the Rouse-Vanoni profile of suspended sediment.
Model introduction
This model is working as a profile calculator for Rouse-Vanoni Equilibrium Suspended Sediment.
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]\displaystyle{ {\frac{c}{c_{b}}} = \left ( {\frac{\left ( 1 - \sigma \right ) / \sigma}{\left ( 1 - \sigma \right ) / \sigma _{b} }}\right ) ^ {\frac{V_{s}}{\kappa u_{*}}} }[/math] (1)
[math]\displaystyle{ \sigma = {\frac{z}{H}} }[/math] (2)
[math]\displaystyle{ \sigma _{b} = {\frac{b}{H}} }[/math] (3)
[math]\displaystyle{ \bar{c_{b} } = E }[/math] (4)
Symbol | Description | Unit |
---|---|---|
H | water depth | - |
ζ | vertical coordinate in the cross section, ζ = 0 on the bed surface and ζ = H on the water surface | - |
ζb | position near the bed surface where the volumetric concentration of suspended sediment is equal to Cb | - |
u* | shear velocity | - |
vs | particle settling velocity computed with the formulation presented by Dietrich (1982) | - |
c | concentration of suspended sediment in the water column at elevation ζ averaged over turbulence. | - |
k | the constant of VonKarman, set equal to 0.4 | - |
b | non-dimensional near-bed distance, defined as ζb / H | - |
cb | concentration of suspended sediment in the water column at ζ = ζb averaged over turbulence. | - |
Output
Symbol | Description | Unit |
---|---|---|
z | non-dimensional vertical coordinate, defined as ζ / H | - |
Notes
To compute the equilibrium profile the user can choose between:
a) the grid of the excel workbook RTe-bookRouseSpreadsheetFun.xls. This grid has 22 points in the vertical direction. The lowest 19 are equally spaced between z = b and z = b + 18(1-b)/19. The upper three points are located at z = 0.98, z = 0.995 and z = 1, where the concentration of suspended sediment goes to zero.
b) an equally spaced grid with a user specified number of points in the vertical.
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
Dietrich, E. W., 1982, Settling velocity of natural particles, Water Resources Research, 18 (6), 1626-1982.