TEST HEAD CASE - Revision history

Robertson at 16:10, 17 May 2016

2016-05-17T16:10:19Z

← Older revision		Revision as of 16:10, 17 May 2016
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	==Forcing==		==Forcing==

	<~~wikitex~~>~~Coriolis $~~\~~textcolor~~{blue}{f}~ =~ 1.0~ e^{-4}$</~~wikitex~~>		Coriolis <math>\color{blue}{f}\color{black}{~ =~ 1.0~ e^{-4}}</math><br>
	No heating/cooling <br>		No heating/cooling <br>
	No wind ~~<br>~~		No wind

	==Initial Conditions==		==Initial Conditions==

	<~~wikitex~~>$\~~textcolor~~{blue}{u}~ =~ 0~ m^{3}$<br>		<math>\color{blue}{u}\color{black}{~ =~ 0~ m^{3}}</math><br>
	$Salinity~ =~ 0$ <br>		<math>Salinity~ =~ 0</math><br>
	$\~~textcolor~~{blue}{Temperature}~ =~ 20^{\circ}C$</~~wikitex><br~~>		<math>\color{blue}{Temperature}\color{black}{~ =~ 20^{\circ}C}</math>

	Bathymetry: ~~<br>~~		Bathymetry:
	Depths increase linearly (slope = 0.0067) from a minimum depth of 2 m at all alongshore points from the southern land boundary offshore to a maximum depth of 20 m at a point 3 km offshore. Offshore of 3 km there is a constant depth of 20 m.<br>		:Depths increase linearly (slope = 0.0067) from a minimum depth of 2 m at all alongshore points from the southern land boundary offshore to a maximum depth of 20 m at a point 3 km offshore. Offshore of 3 km there is a constant depth of 20 m.<br>

	==Boundary Conditions==		==Boundary Conditions==
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	North, south = walls with no fluxes, no friction<br>		North, south = walls with no fluxes, no friction<br>
	South wall = parabolic headland shape<br>		South wall = parabolic headland shape<br>
	<~~wikitex~~>~~Bottom roughness $~~\~~textcolor~~{blue}{Z_{\circ}}~ =~ 0.015~ m$<br>		Bottom roughness <math>\color{blue}{Z_{\circ}}\color{black}{~ =~ 0.015~ m}</math><br>

	Flow and elevation at western boundary is imposed.<br>		Flow and elevation at western boundary is imposed.<br>
	Flow on eastern boundary is open radiation condition, or water level based, or Kelvin wave solution.~~<br>~~		Flow on eastern boundary is open radiation condition, or water level based, or Kelvin wave solution.

			Flow and elevation, eastern/western boundaries:
			:Reference velocity <math>\color{blue}{u_{\circ}}\color{black}{~ =~ 0.5~ m/s}</math>
			:Celerity <math>\color{blue}{C}\color{black}{~=~} \sqrt{\color{blue}{g}\color{black}{\times 20.0}}</math>
			:Reference water level <math>\color{blue}{\xi_{\circ}}\color{black}{~ =~}\color{blue}{u_{\circ}}\color{black}{}/\sqrt{(\color{blue}{g}\color{black}{/20)}}</math>
			:Wave period <math>\color{blue}{T}\color{black}{~ =~ 12}</math> hours (43200 seconds)
			:Wave length <math>\color{blue}{L}\color{black}{~ = }\color{blue}{C}\color{black}{\times }\color{blue}{T}</math>
			:Wave number <math>\color{blue}{k}\color{black}{~ =~ (2\times\pi)/}\color{blue}{L}</math>

	~~Flow and elevation, eastern~~/~~western boundaries:~~ <br>		For each point <math>y</math> along the boundary at time <math>\color{blue}{t}</math>:

	~~Reference velocity $~~\~~textcolor~~{blue}{u_{~~\circ~~}}~ =~ ~~0.5~ m/s$<br>~~		Water level <math>\color{blue}{\xi}\color{black}{}~ =~\color{blue}{\xi_{\circ}}\color{black}{}\times exp(\color{blue}{-f}\color{black}{}\times y/\color{blue}{C}\color{black}{}) \times cos(\color{blue}{k}\color{black}{} \times (x - \color{blue}{C} \color{black}{} \times \color{blue}{t}\color{black}{}))</math>
	~~Celerity $~~\~~textcolor~~{blue}{~~C}~=~~~ \~~sqrt~~{(\~~textcolor~~{~~blue~~}{g}\times ~~20.0)}$<br>~~
	~~Reference water level $~~\~~textcolor~~{blue}{\~~xi_~~{~~\circ~~}}~~~ =~~~\~~textcolor~~{blue}{u_{~~\circ~~}}/\~~sqrt{~~(\~~textcolor~~{blue}{~~g}/20)~~}~~$<br>~~
	~~Wave period $~~\~~textcolor~~{~~blue~~}{T}~~~ =~ 12$ hours~~ (~~43200 seconds)<br>~~
	~~Wave length $~~\~~textcolor~~{blue}{L}~~~ =~~ \~~textcolor~~{~~blue~~}{C}\times \~~textcolor~~{blue}{T}~~$ <br>~~
	~~Wave number $~~\~~textcolor~~{~~blue~~}{k}~~~ =~ (2\times\pi~~)~~/\textcolor{blue}{L}$~~</~~wikitex><br~~>


	<~~wikitex~~>~~For each point $y$ along the~~ boundary ~~at time $~~\~~textcolor~~{blue}{t}$:		{{note}}'''Note:''' <math>x</math> at western boundary is <math>\color{blue}{-L}\color{black}{}/2</math>

	~~Water level $\textcolor{blue}{\xi}~ =~\textcolor{blue}{\xi_{\circ}}\times exp(\textcolor{blue}{~~-~~f}\times y/\textcolor{blue}{C}) \times cos(\textcolor{blue}{k} \times (x - \textcolor{blue}{C} \times \textcolor{blue}{t}))$~~<~~/wikitex~~>~~<br>~~		Depth-mean flow <math>\color{blue}{<u>}\color{black}{}~ =~ \sqrt{(\color{blue}{g}\color{black}{}/20)} \times \color{blue}{\xi}\color{black}{}(y)</math>


	~~{{note}}'''Note:''' <wikitex>$x$ at western boundary is $~~\~~textcolor~~{blue}{~~-L}/2$~~ <br>
	~~Depth-mean flow $~~\~~textcolor~~{~~blue~~}{~~<u>~~}~ =~ \sqrt{(\~~textcolor~~{blue}{g}/20)} \times \~~textcolor~~{blue}{\xi}(y)$</~~wikitex><br~~>

	Sediment flux calculated by model<br>		Sediment flux calculated by model<br>
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	==Physical Constants==		==Physical Constants==

	<~~wikitex~~>~~Gravitational acceleration $~~\~~textcolor~~{blue}{g}~ =~ 9.81~ m/s^{2}$<br>		Gravitational acceleration <math>\color{blue}{g}\color{black}{}~ =~ 9.81~ m/s^{2}</math><br>
	Von Karman's constant $\~~textcolor~~{blue}{\kappa}~=~ 0.41$<br>		Von Karman's constant <math>\color{blue}{\kappa}\color{black}{}~=~ 0.41</math><br>
	Dynamic viscosity (and minimum diffusivity) $\~~textcolor~~{blue}{\nu}~ =~ 1e^{-6}~ m^{2}/s$</~~wikitex><br>~~		Dynamic viscosity (and minimum diffusivity) <math>\color{blue}{\nu}\color{black}{}~ =~ 1e^{-6}~ m^{2}/s</math>

	~~{{note}}'''Note:'''<br~~>

	If a model incorporates physical constants that differ from these, and/or automatically calculates some values specified here, please specify the values used.<br>		{{note}}'''Note:''' If a model incorporates physical constants that differ from these, and/or automatically calculates some values specified here, please specify the values used.<br>

	==Results==		==Results==

Etwomey: /* Initial Conditions */

2008-12-08T16:20:41Z

Initial Conditions

← Older revision		Revision as of 16:20, 8 December 2008
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	<wikitex>$\textcolor{blue}{u}~ =~ 0~ m^{3}$<br>		<wikitex>$\textcolor{blue}{u}~ =~ 0~ m^{3}$<br>
	Salinity = $0$ <br>		$Salinity~ =~ 0$ <br>
	$\textcolor{blue}{T}~ =~ 20^{\circ}C$</wikitex><br>		$\textcolor{blue}{Temperature}~ =~ 20^{\circ}C$</wikitex><br>

	Bathymetry: <br>		Bathymetry: <br>

Etwomey: /* Physical Constants */

2008-12-08T16:19:43Z

Physical Constants

← Older revision		Revision as of 16:19, 8 December 2008
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	==Physical Constants==		==Physical Constants==

	Gravitational acceleration ~~<span class="~~blue">g~~</span>~~ = 9.81 m/s~~<sup>~~2~~</sup>~~<br>		<wikitex>Gravitational acceleration $\textcolor{blue}{g}~ =~ 9.81~ m/s^{2}$<br>
	Von Karman's constant = 0.41<br>		Von Karman's constant $\textcolor{blue}{\kappa}~=~ 0.41$<br>
	Dynamic viscosity (and minimum diffusivity) ~~<span class="~~blue~~">&~~nu~~;</span>~~ = 1e-6 m~~<sup>~~2</~~sup~~>/s<br>		Dynamic viscosity (and minimum diffusivity) $\textcolor{blue}{\nu}~ =~ 1e^{-6}~ m^{2}/s$</wikitex><br>

	{{note}}'''Note:'''<br>		{{note}}'''Note:'''<br>

Etwomey: /* Boundary Conditions */

2008-12-08T16:15:15Z

Boundary Conditions

← Older revision		Revision as of 16:15, 8 December 2008
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	North, south = walls with no fluxes, no friction<br>		North, south = walls with no fluxes, no friction<br>
	South wall = parabolic headland shape<br>		South wall = parabolic headland shape<br>
	Bottom roughness ~~<span class="~~blue~~">Z<sub>0</sub></span>~~ = 0.015 m<br>		<wikitex>Bottom roughness $\textcolor{blue}{Z_{\circ}}~ =~ 0.015~ m$<br>

	Flow and elevation at western boundary is imposed.<br>		Flow and elevation at western boundary is imposed.<br>
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	Flow and elevation, eastern/western boundaries: <br>		Flow and elevation, eastern/western boundaries: <br>

	Reference velocity ~~<span class="~~blue~~">u<sub>0</sub></span>~~ = 0.5 m/s<br>		Reference velocity $\textcolor{blue}{u_{\circ}}~ =~ 0.5~ m/s$<br>
	Celerity ~~<span class="~~blue">C~~</span>~~= ~~<span>&radic</span>;~~(~~<span class="~~blue">g</span> * 20.0)<br>		Celerity $\textcolor{blue}{C}~=~ \sqrt{(\textcolor{blue}{g}\times 20.0)}$<br>
	Reference water level ~~<span class="~~blue~~">ζ<sub>0</sub></span> = <span class~~="blue~~">u<sub>0</sub></span>~~/~~√~~(~~<span class = "~~blue">g~~</span>~~/20)<br>		Reference water level $\textcolor{blue}{\xi_{\circ}}~ =~\textcolor{blue}{u_{\circ}}/\sqrt{(\textcolor{blue}{g}/20)}$<br>
	Wave period T = 12 hours (43200 seconds)<br>		Wave period $\textcolor{blue}{T}~ =~ 12$ hours (43200 seconds)<br>
	Wave length L = C * T <br>		Wave length $\textcolor{blue}{L}~ = \textcolor{blue}{C}\times \textcolor{blue}{T}$ <br>
	Wave number k = (2 * π)/L <br>		Wave number $\textcolor{blue}{k}~ =~ (2\times\pi)/\textcolor{blue}{L}$</wikitex><br>


	For each point y along the boundary at time t:		<wikitex>For each point $y$ along the boundary at time $\textcolor{blue}{t}$:

	Water level ~~<span class="~~blue~~">ζ</span>~~ = ~~<span class="~~blue">ζ<sub>0</sub></span> * exp(-f * y/C) * cos(k * (x - C * t))<br>		Water level $\textcolor{blue}{\xi}~ =~\textcolor{blue}{\xi_{\circ}}\times exp(\textcolor{blue}{-f}\times y/\textcolor{blue}{C}) \times cos(\textcolor{blue}{k} \times (x - \textcolor{blue}{C} \times \textcolor{blue}{t}))$</wikitex><br>


	{{note}}'''Note:''' x at western boundary is -L/2 <br>		{{note}}'''Note:''' <wikitex>$x$ at western boundary is $\textcolor{blue}{-L}/2$ <br>
	Depth-mean flow <~~span class="blue">&lang;~~u~~&rang;</span~~> = ~~<span>√</span>~~(~~<span class = "~~blue">g~~</span>~~/20) * <span class="blue~~">ζ~~(y)</~~span~~><br>		Depth-mean flow $\textcolor{blue}{<u>}~ =~ \sqrt{(\textcolor{blue}{g}/20)} \times \textcolor{blue}{\xi}(y)$</wikitex><br>

	Sediment flux calculated by model<br>		Sediment flux calculated by model<br>

Etwomey: /* Initial Conditions */

2008-12-08T15:41:11Z

Initial Conditions

← Older revision		Revision as of 15:41, 8 December 2008
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	==Initial Conditions==		==Initial Conditions==

	<~~span class="~~blue">u~~</span>~~ = 0 m~~<sup>~~3~~</sup>~~<br>		<wikitex>$\textcolor{blue}{u}~ =~ 0~ m^{3}$<br>
	Salinity = 0 <br>		Salinity = $0$ <br>
	~~Temperature~~ = 20~~<sup>o~~</~~sup~~>C<br>		$\textcolor{blue}{T}~ =~ 20^{\circ}C$</wikitex><br>

	Bathymetry: <br>		Bathymetry: <br>

Etwomey: /* Forcing */

2008-12-08T15:37:49Z

Forcing

← Older revision		Revision as of 15:37, 8 December 2008
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	==Forcing==		==Forcing==

	Coriolis ~~<span class="~~blue">f~~</span>~~ = 1.0 e-4 <br>		<wikitex>Coriolis $\textcolor{blue}{f}~ =~ 1.0~ e^{-4}$</wikitex>
	No heating/cooling <br>		No heating/cooling <br>
	No wind <br>		No wind <br>

Etwomey: /* Physical Constants */

2008-04-24T13:31:02Z

Physical Constants

← Older revision		Revision as of 13:31, 24 April 2008
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	==Physical Constants==		==Physical Constants==

	Gravitational acceleration <~~math~~>g \,= \,9.81 \,m/s^{2}</~~math~~><br>		Gravitational acceleration <span class="blue">g</span> = 9.81 m/s<sup>2</sup><br>
	Von Karman's constant ? = 0.41<br>		Von Karman's constant = 0.41<br>
	Dynamic viscosity (and minimum diffusivity) <~~math~~>\nu \,= \,1e-6 \,m^{2~~}/s~~</~~math~~><br>		Dynamic viscosity (and minimum diffusivity) <span class="blue">ν</span> = 1e-6 m<sup>2</sup>/s<br>

	'''Note:'''<br>		{{note}}'''Note:'''<br>

	If a model incorporates physical constants that differ from these, and/or automatically calculates some values specified here, please specify the values used.<br>		If a model incorporates physical constants that differ from these, and/or automatically calculates some values specified here, please specify the values used.<br>

Etwomey: /* Boundary Conditions */

2008-04-24T13:28:31Z

Boundary Conditions

← Older revision		Revision as of 13:28, 24 April 2008
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	Reference velocity <span class="blue">u<sub>0</sub></span> = 0.5 m/s<br>		Reference velocity <span class="blue">u<sub>0</sub></span> = 0.5 m/s<br>
	Celerity <span class="blue">C</span>= <span>√(g * 20.0)~~</span>~~<br>		Celerity <span class="blue">C</span>= <span>&radic</span>;(<span class="blue">g</span> * 20.0)<br>
	Reference water level <span class="blue">ζ<sub>0</sub></span> = <span class="blue">u<sub>0</sub></span>/√(g/20)<br>		Reference water level <span class="blue">ζ<sub>0</sub></span> = <span class="blue">u<sub>0</sub></span>/√(<span class = "blue">g</span>/20)<br>
	Wave period T = 12 hours (43200 seconds)<br>		Wave period T = 12 hours (43200 seconds)<br>
	Wave length L = C * T <br>		Wave length L = C * T <br>
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	{{note}}'''Note:''' x at western boundary is -L/2 <br>		{{note}}'''Note:''' x at western boundary is -L/2 <br>
	Depth-mean flow <span class="blue">&lang;u&rang;</span> = <span>√(g~~/20)~~</span> * <span class="blue">ζ(y)</span><br>		Depth-mean flow <span class="blue">&lang;u&rang;</span> = <span>√</span>(<span class = "blue">g</span>/20) * <span class="blue">ζ(y)</span><br>

	Sediment flux calculated by model<br>		Sediment flux calculated by model<br>

Etwomey: /* Boundary Conditions */

2008-04-24T13:21:05Z

Boundary Conditions

← Older revision		Revision as of 13:21, 24 April 2008
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	For each point y along the boundary at time t:		For each point y along the boundary at time t:

	Water level <~~math~~>\zeta \,= ~~\,\zeta_{~~0} * exp(-f * y/C) * cos(k * (x - C * t))~~</math>~~<br>		Water level <span class="blue">ζ</span> = <span class="blue">ζ<sub>0</sub></span> * exp(-f * y/C) * cos(k * (x - C * t))<br>
	'''Note:''' x at western boundary is -L/2 <br>
	Depth-mean flow <~~math~~><u> \,= ~~\,\sqrt{~~g/20} * \zeta(y)</~~math~~><br>
			{{note}}'''Note:''' x at western boundary is -L/2 <br>
			Depth-mean flow <span class="blue">&lang;u&rang;</span> = <span>√(g/20)</span> * <span class="blue">ζ(y)</span><br>

	Sediment flux calculated by model<br>		Sediment flux calculated by model<br>

Etwomey: /* Boundary Conditions */

2008-04-15T20:13:40Z

Boundary Conditions

← Older revision		Revision as of 20:13, 15 April 2008
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	Reference velocity <span class="blue">u<sub>0</sub></span> = 0.5 m/s<br>		Reference velocity <span class="blue">u<sub>0</sub></span> = 0.5 m/s<br>
	Celerity <span class="blue">C</span>= <span>√(g * 20.0)</span><br>		Celerity <span class="blue">C</span>= <span>√(g * 20.0)</span><br>
	Reference water level <span class="blue">ζ<sub>0</sub><span> = <span class="blue">u<sub>0</sub></span>/√(g/20)<br>		Reference water level <span class="blue">ζ<sub>0</sub></span> = <span class="blue">u<sub>0</sub></span>/√(g/20)<br>
	Wave period T = 12 hours (43200 seconds)<br>		Wave period T = 12 hours (43200 seconds)<br>
	Wave length L = C * T <br>		Wave length L = C * T <br>