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docs/Models/linear-shallow-water-model.md

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@@ -57,7 +57,7 @@ The 2D Linear Shallow Water model is implemented as a type extension of the `DGM
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The `LinearShallowWater2D` class has a generic method (`SetCoriolis`) that can be used for defining the coriolis parameter at each location in the model domain. The `SetCoriolis` method can be used for either setting an $f$ or $beta$ plane.
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#### Setting up an f-plane
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Assuming you've created interpolant ,mesh, geometry objects, and model objects you can define a constant value for the coriolis parameter using the following
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Assuming you've created interpolant, mesh, geometry objects, and model objects you can define a constant value for the coriolis parameter using the following
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```fortran
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type(LinearShallowWater2D) :: modelobj
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real(prec), parameter :: f0 = 10.0_prec*(-4)
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```
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#### Setting up a beta-plane
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Assuming you've created interpolant ,mesh, geometry objects, and model objects you can define the coriolis so that it varies with the `y` coordinate in the geometry using
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Assuming you've created interpolant, mesh, geometry objects, and model objects you can define the coriolis so that it varies with the `y` coordinate in the geometry using
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```fortran
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type(LinearShallowWater2D) :: modelobj
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real(prec), parameter :: f0 = 10.0_prec*(-4)
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```
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#### Setting arbitrary spatially varying coriolis parameter
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Perhaps you find that f-plane and beta-plane scenarios are just too boring, or their not an appropriate model for what you're considering. In this case, you can easily set the `fCori%interior` attribute of the `LinearShallowWater2D` class directly
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Perhaps you find that f-plane and beta-plane scenarios are just too boring, or they're not an appropriate model for what you're considering. In this case, you can easily set the `fCori%interior` attribute of the `LinearShallowWater2D` class directly
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```fortran
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```
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### Setting the Drag coefficient
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Assuming you've created interpolant ,mesh, geometry objects, and model objects you can define a constant value for the linear drag coefficient by setting the constant parameter `Cd`, e.g.
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Assuming you've created interpolant, mesh, geometry objects, and model objects you can define a constant value for the linear drag coefficient by setting the constant parameter `Cd`, e.g.
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```fortran
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type(LinearShallowWater2D) :: modelobj

docs/Tutorials/LinearShallowWater/KelvinWaves.md

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\eta(t=0) = 0.001e^{ -( ( (x-1.0)^2 + y^2 )/(0.02) )}
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$$
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This initial condition is initially out of balance, which causes an erruption of unbalanced flows, including gravity waves, inertia gravity waves, and kelvin waves. The Kelvin waves are the result of the unbalanced flow up against the no-normal flow wall. Since the coriolis parameter is positive in this demonstration, the Kelvin waves propagate with the boundary (the "coast") on its right. For this circular domain, the Kelvin waves propagate in a counter-clockwise directtion.
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This initial condition is initially out of balance, which causes an erruption of unbalanced flows, including gravity waves, inertia gravity waves, and Kelvin waves. The Kelvin waves are the result of the unbalanced flow up against the no-normal flow wall. Since the coriolis parameter is positive in this demonstration, the Kelvin waves propagate with the boundary (the "coast") on its right. For this circular domain, the Kelvin waves propagate in a counter-clockwise directtion.
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<figure markdown="span">
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![Geostrophic adjustment releasing unbalanced flows](./img/kelvin-wave-initial-erruption.png){ width="500" }

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