Model help:Plume: Difference between revisions
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1) Log in to the wiki | 1) Log in to the wiki | ||
2) Create a new page for each model, by using the following URL: | 2) Create a new page for each model, by using the following URL: | ||
* | * https://csdms.colorado.edu/wiki/Model help:<modelname> | ||
* Replace <modelname> with the name of a model | * Replace <modelname> with the name of a model | ||
3) Than follow the link "edit this page" | 3) Than follow the link "edit this page" | ||
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__NOTOC__ | __NOTOC__ | ||
==<big><big>{{PAGENAME}}</big></big>== | ==<big><big>{{PAGENAME}}</big></big>== | ||
Plume models a hypopycnal sediment plume draining from a river mouth into a lake or the ocean | |||
==Model introduction== | ==Model introduction== | ||
Plume simulates the sediment transport and deposition of single-grain size sediment from a river mouth entering into a marine basin by creating a turbulent jet. The model calculates a steady-state hypopycnal plume as a result of river water and sediment discharge based on simplified advection-diffusion equations. The model allows for plume deflection due to systematic coastal currents or Coriolis force | |||
Plume simulates the sediment transport and deposition of single-grain size sediment from a river mouth entering into a marine basin by creating a turbulent jet. The model calculates a steady-state hypopycnal plume as a result of river water and sediment discharge based on simplified advection-diffusion equations. The model allows for plume deflection due to systematic coastal currents or Coriolis force | |||
<div id=CMT_MODEL_PARAMETERS> | <div id=CMT_MODEL_PARAMETERS> | ||
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!{{H13}}|Unit | !{{H13}}|Unit | ||
|-valign="top" | |-valign="top" | ||
|width="20%" | | |width="20%" |First parameter | ||
|width="60%" | | |width="60%" |Average mass-concentration of suspended sediment | ||
|width="20%" | | |width="20%" |[kg/m<big>3</big>] | ||
|- | |- | ||
|u<sub>0</sub> | |u<sub>0</sub> | ||
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|} | |} | ||
= | = Ocean = | ||
{|{{Prettytable}} class = "unsortable" cellspacing="0" cellpadding="0" style="margin:0em 0em 0em 0;" | |||
|- | |||
!{{H13}}|Parameter | |||
!{{H13}}|Description | |||
!{{H13}}|Unit | |||
|-valign="top" | |||
|width="20%"|Cs-ocean | |||
|width="60%"|Background sediment concentration of ocean | |||
|width="20%"|[kg/m<sup>3</sup>] | |||
|- | |||
| | |||
|Normalized width of coastal current | |||
|[-] | |||
|- | |||
|u2 | |||
|alongshore velocity of the coastal current, can deflect the plume axis | |||
|[m/s] | |||
|- | |||
|} | |||
= Output = | |||
{|{{Prettytable}} class = "unsortable" cellspacing="0" cellpadding="0" style="margin:0em 0em 0em 0;" | |||
|- | |||
!{{H13}}|Parameter | |||
!{{H13}}|Description | |||
!{{H13}}|Unit | |||
|-valign="top" | |||
|width="20%"|- | |||
|width="60%"|Output interval (needs to be smaller than 1 to generate output, use 0.5) | |||
|width="20%"|[d] | |||
|- | |||
|- | |||
|File Format | |||
|netcdf or vtk choice, if file is switched on | |||
|- | |||
|- | |||
|deposition_rate file | |||
|if switched off, original csv files of plume will still be generated | |||
| | |||
|- | |||
|} | |||
<headertabs/> | <headertabs/> | ||
==Uses ports== | ==Uses ports== | ||
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==Main equations== | ==Main equations== | ||
< | * River plumes | ||
1) Advection-diffusion equation | |||
::::{| | |||
|width=800px|<math> {\frac{\partial u I}{\partial x}} + {\frac{\partial v I}{\partial y}} + \lambda I = {\frac{\partial}{\partial y}} \left ( K {\frac{\partial I}{\partial y}}\right ) + {\frac{\partial}{\partial x}} \left (K {\frac{\partial I}{\partial x}}\right ) </math> | |||
|width=50p=x align="right"| | |||
|} | |||
where x is the longitudinal direction (m), y is the lateral direction (m), u is longitudinal velocity (m/sec), v is lateral velocity (m/sec), I is the sediment “inventory” or mass per unit area of the plume (kg/m2), λ is the first order removal rate constant (sec−1) for the grain size in question, and K is the sediment diffusivity due to turbulence (m2/sec). <br> | |||
2) Plume's centerline | |||
::::{| | |||
|width=800px|<math> {\frac{x}{b_{0}}}=1.53 + 0.90 \left ({\frac{u_{0}}{v_{0}}}\right ) \left ({\frac{y}{b_{0}}}\right )^\left (0.37\right )</math> | |||
|width=50p=x align="right"| | |||
|} | |||
where longitudinal velocity (u) and lateral velocity component (v) are non-dimensionalized by the river mouth velocity, u0, and longitudinal distance, x, and lateral distance, y, are non-dimensioned by the river mouth width, b0. | |||
3) Non-conservative concentration along and surrounding the centerline position | |||
::::{| | |||
|width=800px|<math> C\left (x,y\right ) = C_{0}exp\left (-\lambda t \right ) \sqrt{{\frac{b_{0}}{\sqrt{\pi}C_{1} x}}} exp [-\left ({\frac{y}{\sqrt{2} C_{1} x}}\right )^2] </math> | |||
|width=50p=x align="right"| | |||
|} | |||
::::{| | |||
|width=800px|<math> t\left (x,y\right ) = {\frac{u_{0} + u_{c}\left (x\right ) + 7u\left (x,y\right )}{9}} </math> | |||
|width=50p=x align="right"| | |||
|} | |||
::::{| | |||
|width=800px|<math> u_{c}\left (x\right ) = u_{0} \sqrt{{\frac{b_{0}}{\sqrt{\pi} C_{1} x}}} </math> | |||
|width=50p=x align="right"| | |||
|} | |||
::::{| | |||
|width=800px|<math> u\left (x,y\right ) = u_{0} \sqrt{{\frac{b_{0}}{\sqrt{\pi} C_{1} x }}} exp [-\left ({\frac{y}{\sqrt{2} C_{1} x}}\right )^2] </math> | |||
|width=50p=x align="right"| | |||
|} | |||
where C1=0.109, from Albertson et al., 1950. | |||
==Notes== | ==Notes== | ||
<span class="remove_this_tag">Any notes, comments, you want to share with the user</span> | <span class="remove_this_tag">Any notes, comments, you want to share with the user</span> | ||
There is an example of visualization of Plume output with Matlab described under the [https://csdms.colorado.edu/wiki/Model:Plume|Plume Model Questionair] | |||
<span class="remove_this_tag">Numerical scheme</span> | <span class="remove_this_tag">Numerical scheme</span> | ||
==Examples== | ==Examples== | ||
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<span class="remove_this_tag">Follow the next steps to include images / movies of simulations:</span> | <span class="remove_this_tag">Follow the next steps to include images / movies of simulations:</span> | ||
* <span class="remove_this_tag">Upload file: | * <span class="remove_this_tag">Upload file: https://csdms.colorado.edu/wiki/Special:Upload</span> | ||
* <span class="remove_this_tag">Create link to the file on your page: <nowiki>[[Image:<file name>]]</nowiki>.</span> | * <span class="remove_this_tag">Create link to the file on your page: <nowiki>[[Image:<file name>]]</nowiki>.</span> | ||
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==Developer(s)== | ==Developer(s)== | ||
James Syvitski, Eric Hutton | |||
==References== | ==References== | ||
< | |||
* Hutton and Syvitski, 2008. Sedflux-2.0: An advanced process-response model that generates three-dimensional stratigraphy. Computers and Geosciences, v. 34. [http://dx.doi.org/10.1016/j.cageo.2008.02.013 doi:10.1016/j.cageo.2008.02.013] | |||
* Syvitski et al., 1998. PLUME1.1: Deposition of sediment from a fluvial plume ([http://dx.doi.org/10.1016/S0098-3004(97)00084-8 doi:10.1016/S0098-3004(97)00084-8] | |||
* Peckham, S.D., 2008. A new method for estimating suspended sediment concentrations and deposition rates from satellite imagery based on the physics of plumes. Computer & Geosciences, 34, 1198-1222. [http://dx.doi.org/10.1016/doi:10.1016/j.cageo.2008.02.009 doi:10.1016/j.cageo.2008.02.009] <br> | |||
==Links== | ==Links== |
Latest revision as of 17:18, 19 February 2018
Plume
Plume models a hypopycnal sediment plume draining from a river mouth into a lake or the ocean
Model introduction
Plume simulates the sediment transport and deposition of single-grain size sediment from a river mouth entering into a marine basin by creating a turbulent jet. The model calculates a steady-state hypopycnal plume as a result of river water and sediment discharge based on simplified advection-diffusion equations. The model allows for plume deflection due to systematic coastal currents or Coriolis force
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
- River plumes
1) Advection-diffusion equation
[math]\displaystyle{ {\frac{\partial u I}{\partial x}} + {\frac{\partial v I}{\partial y}} + \lambda I = {\frac{\partial}{\partial y}} \left ( K {\frac{\partial I}{\partial y}}\right ) + {\frac{\partial}{\partial x}} \left (K {\frac{\partial I}{\partial x}}\right ) }[/math]
where x is the longitudinal direction (m), y is the lateral direction (m), u is longitudinal velocity (m/sec), v is lateral velocity (m/sec), I is the sediment “inventory” or mass per unit area of the plume (kg/m2), λ is the first order removal rate constant (sec−1) for the grain size in question, and K is the sediment diffusivity due to turbulence (m2/sec).
2) Plume's centerline
[math]\displaystyle{ {\frac{x}{b_{0}}}=1.53 + 0.90 \left ({\frac{u_{0}}{v_{0}}}\right ) \left ({\frac{y}{b_{0}}}\right )^\left (0.37\right ) }[/math]
where longitudinal velocity (u) and lateral velocity component (v) are non-dimensionalized by the river mouth velocity, u0, and longitudinal distance, x, and lateral distance, y, are non-dimensioned by the river mouth width, b0.
3) Non-conservative concentration along and surrounding the centerline position
[math]\displaystyle{ C\left (x,y\right ) = C_{0}exp\left (-\lambda t \right ) \sqrt{{\frac{b_{0}}{\sqrt{\pi}C_{1} x}}} exp [-\left ({\frac{y}{\sqrt{2} C_{1} x}}\right )^2] }[/math]
[math]\displaystyle{ t\left (x,y\right ) = {\frac{u_{0} + u_{c}\left (x\right ) + 7u\left (x,y\right )}{9}} }[/math]
[math]\displaystyle{ u_{c}\left (x\right ) = u_{0} \sqrt{{\frac{b_{0}}{\sqrt{\pi} C_{1} x}}} }[/math]
[math]\displaystyle{ u\left (x,y\right ) = u_{0} \sqrt{{\frac{b_{0}}{\sqrt{\pi} C_{1} x }}} exp [-\left ({\frac{y}{\sqrt{2} C_{1} x}}\right )^2] }[/math]
where C1=0.109, from Albertson et al., 1950.
Notes
Any notes, comments, you want to share with the user
There is an example of visualization of Plume output with Matlab described under the Model Questionair
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: https://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)
James Syvitski, Eric Hutton
References
- Hutton and Syvitski, 2008. Sedflux-2.0: An advanced process-response model that generates three-dimensional stratigraphy. Computers and Geosciences, v. 34. doi:10.1016/j.cageo.2008.02.013
- Syvitski et al., 1998. PLUME1.1: Deposition of sediment from a fluvial plume (doi:10.1016/S0098-3004(97)00084-8
- Peckham, S.D., 2008. A new method for estimating suspended sediment concentrations and deposition rates from satellite imagery based on the physics of plumes. Computer & Geosciences, 34, 1198-1222. doi:10.1016/j.cageo.2008.02.009
Links
Any link, eg. to the model questionnaire, etc.