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Commit 15882e38 authored by Timo Koch's avatar Timo Koch
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Merge branch 'cleanup/fix-typo-in-examples' into 'master'

[doc] fix typos in shallowwater

See merge request !3840
parents 209a83b5 bd4c413f
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1 merge request!3840[doc] fix typos in shallowwater
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...@@ -25,8 +25,8 @@ __Table of contents__. This description is structured as follows: ...@@ -25,8 +25,8 @@ __Table of contents__. This description is structured as follows:
## Problem set-up ## Problem set-up
### Model domain ### Model domain
The model domain is given by a rough channel with a slope of 0.001. The model domain is given by a rough channel with a slope of 0.001.
The domain is $`500 \, \mathrm{m}`$ long and $`5 mathrm{m}`$ wide. The domain is $`500 \, \mathrm{m}`$ long and $`5 \mathrm{m}`$ wide.
The bottom altitude is $`10 mathrm{m}`$ at the inflow and hence $`9.5 mathrm{m}`$ at the outflow. The bottom altitude is $`10\, \mathrm{m}`$ at the inflow and hence $`9.5\, \mathrm{m}`$ at the outflow.
Bottom friction is considered by applying Bottom friction is considered by applying
[Manning's law](#mannings-law) ($`n`$ = 0.025). [Manning's law](#mannings-law) ($`n`$ = 0.025).
...@@ -35,15 +35,15 @@ At the lateral sides a no-flow boundary condition is applied. Also, no friction ...@@ -35,15 +35,15 @@ At the lateral sides a no-flow boundary condition is applied. Also, no friction
considered there and therefore a no slip boundary considered there and therefore a no slip boundary
condition is applied. These are the default boundary conditions for the shallow condition is applied. These are the default boundary conditions for the shallow
water model. At the left border, a discharge boundary condition water model. At the left border, a discharge boundary condition
is applied as inflow boundary condition with $`q = -1.0 mathrm{m}^2 \mathrm{s}^{-1}`$. is applied as inflow boundary condition with $`q = -1.0\, \mathrm{m}^2 \mathrm{s}^{-1}`$.
At the right border, a fixed water depth boundary condition At the right border, a fixed water depth boundary condition
is applied for the outflow. Normal flow is assumed, therefore the water is applied for the outflow. Normal flow is assumed, therefore the water
depth at the right border is calculated using the equation depth at the right border is calculated using the equation
of [Gauckler, Manning and Strickler](#analytical-solution). of [Gauckler, Manning and Strickler](#analytical-solution).
### Initial conditions ### Initial conditions
The initial water depth is set to 1~m, which is slightly higher than the normal flow The initial water depth is set to $1\, \mathrm{m}$, which is slightly higher than the normal flow
water depth (0.87~m). Therefore, we expect a decreasing water depth ($0.87\, \mathrm{m}$). Therefore, we expect a decreasing
water level during the simulation until the normal flow condition is reached in water level during the simulation until the normal flow condition is reached in
the entire model domain. The initial velocity is set to zero. the entire model domain. The initial velocity is set to zero.
......
...@@ -23,8 +23,8 @@ __Table of contents__. This description is structured as follows: ...@@ -23,8 +23,8 @@ __Table of contents__. This description is structured as follows:
## Problem set-up ## Problem set-up
### Model domain ### Model domain
The model domain is given by a rough channel with a slope of 0.001. The model domain is given by a rough channel with a slope of 0.001.
The domain is $`500 \, \mathrm{m}`$ long and $`5 mathrm{m}`$ wide. The domain is $`500 \, \mathrm{m}`$ long and $`5 \mathrm{m}`$ wide.
The bottom altitude is $`10 mathrm{m}`$ at the inflow and hence $`9.5 mathrm{m}`$ at the outflow. The bottom altitude is $`10\, \mathrm{m}`$ at the inflow and hence $`9.5\, \mathrm{m}`$ at the outflow.
Bottom friction is considered by applying Bottom friction is considered by applying
[Manning's law](#mannings-law) ($`n`$ = 0.025). [Manning's law](#mannings-law) ($`n`$ = 0.025).
...@@ -33,15 +33,15 @@ At the lateral sides a no-flow boundary condition is applied. Also, no friction ...@@ -33,15 +33,15 @@ At the lateral sides a no-flow boundary condition is applied. Also, no friction
considered there and therefore a no slip boundary considered there and therefore a no slip boundary
condition is applied. These are the default boundary conditions for the shallow condition is applied. These are the default boundary conditions for the shallow
water model. At the left border, a discharge boundary condition water model. At the left border, a discharge boundary condition
is applied as inflow boundary condition with $`q = -1.0 mathrm{m}^2 \mathrm{s}^{-1}`$. is applied as inflow boundary condition with $`q = -1.0\, \mathrm{m}^2 \mathrm{s}^{-1}`$.
At the right border, a fixed water depth boundary condition At the right border, a fixed water depth boundary condition
is applied for the outflow. Normal flow is assumed, therefore the water is applied for the outflow. Normal flow is assumed, therefore the water
depth at the right border is calculated using the equation depth at the right border is calculated using the equation
of [Gauckler, Manning and Strickler](#analytical-solution). of [Gauckler, Manning and Strickler](#analytical-solution).
### Initial conditions ### Initial conditions
The initial water depth is set to 1~m, which is slightly higher than the normal flow The initial water depth is set to $1\, \mathrm{m}$, which is slightly higher than the normal flow
water depth (0.87~m). Therefore, we expect a decreasing water depth ($0.87\, \mathrm{m}$). Therefore, we expect a decreasing
water level during the simulation until the normal flow condition is reached in water level during the simulation until the normal flow condition is reached in
the entire model domain. The initial velocity is set to zero. the entire model domain. The initial velocity is set to zero.
......
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