From a6e722810161561c8ccf149375637b71edf038ab Mon Sep 17 00:00:00 2001 From: Milan Date: Wed, 31 May 2023 20:27:31 -0400 Subject: [PATCH] barotropic, shallowwater test cases --- docs/img/barotropic_vorticity.jpg | Bin 0 -> 128869 bytes docs/img/galewsky.jpg | Bin 0 -> 101390 bytes docs/img/galewsky_nc_12days.png | Bin 0 -> 70347 bytes docs/img/galewsky_nc_12days_mountains.png | Bin 0 -> 72995 bytes docs/img/galewsky_nc_6days.png | Bin 0 -> 42804 bytes docs/src/how_to_run_speedy.md | 201 ++++++++++++++++++++-- src/SpeedyWeather.jl | 5 +- src/dynamics/initial_conditions.jl | 6 +- src/dynamics/models.jl | 2 +- 9 files changed, 192 insertions(+), 22 deletions(-) create mode 100644 docs/img/barotropic_vorticity.jpg create mode 100644 docs/img/galewsky.jpg create mode 100644 docs/img/galewsky_nc_12days.png create mode 100644 docs/img/galewsky_nc_12days_mountains.png create mode 100644 docs/img/galewsky_nc_6days.png diff --git a/docs/img/barotropic_vorticity.jpg 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spectral_grid = SpectralGrid(trunc=127,nlev=1) +SpectralGrid: + Spectral: T127 LowerTriangularMatrix{Complex{Float32}}, radius = 6.371e6 m + Grid: 40320-element, 192-ring OctahedralGaussianGrid{Float32} (quadratic) + Resolution: 112km (average) + Vertical: 1-level SigmaCoordinates ``` +We could have specified further options, but let's ignore that for now. +Next step we create a planet that's like Earth but not rotating +```julia +julia> still_earth = Earth(rotation=0) +Main.SpeedyWeather.Earth + rotation: Float64 0.0 + gravity: Float64 9.81 + daily_cycle: Bool true + length_of_day: Float64 24.0 + seasonal_cycle: Bool true + length_of_year: Float64 365.25 + equinox: Dates.DateTime + axial_tilt: Float64 23.4 +``` +There are other options to create a planet but they are irreleveant for the +barotropic vorticity equations. We also want to specify the initial conditions, +randomly distributed vorticity is already defined +```julia +julia> initial_conditions = StartWithRandomVorticity() +StartWithRandomVorticity + power_law: Float64 -3.0 + amplitude: Float64 1.0e-5 +``` +By default, the power of vorticity is spectrally distributed with ``k^{-3}``, ``k`` being the +horizontal wavenumber, and the amplitude is ``10^{-5}\text{ s}^{-1}``. -Hooray, you have just simulated the Earth's atmosphere. Parameters, their meanings and -defaults are documented in [`Parameters`](@ref). For example, if you want to run -the primitive equation dry core (no humidity) simulation in double precision (`Float64`), -at higher resolution (`trunc`, the triangular spectral truncation), slow down the rotation -of the Earth (`rotation` in ``s^{-1}``), and create some netCDF ouput, do +Now we want to construct a `BarotropicModel` +with these +```julia +julia> model = BarotropicModel(;spectral_grid, initial_conditions, planet=still_earth); +``` +The `model` contains all the parameters, but isn't initialized yet, which we can do +with and then run it. +```julia +julia> simulation = initialize!(model); +julia> run!(simulation,n_days=30) +``` +The `run!` command will always return the prognostic variables, which, by default, are +plotted for surface relative vorticity with a unicode plot. The resolution of the plot +is not necessarily representative but it lets us have a quick look at the result +![Barotropic vorticity unicode plot](../img/barotropic_vorticity.jpg) + +Woohoo! I can see turbulence! You could pick up where this simulation stopped by simply +doing `run!(simulation,n_days=50)` again. We didn't store any output, which +you can do by `run!(simulation,output=true)`, which will switch on NetCDF output +with default settings. More options on output in [NetCDF output](@ref). + +## Example 2: Shallow water with mountains + +As a second example, let's investigate the Galewsky et al.[^1] test case for the shallow +water equations with and without mountains. As the shallow water system has also only +one level, we can reuse the `SpectralGrid` from Example 1. +```julia +julia> spectral_grid = SpectralGrid(trunc=127,nlev=1) +``` +Now as a first simulation, we want to disable any orography, so we create a `NoOrography` ```julia -run_speedy(Float64,PrimitiveDry,trunc=42,planet=Earth(rotation=1e-5),output=true) +julia> orography = NoOrography(spectral_grid) +NoOrography{Float32, OctahedralGaussianGrid{Float32}} ``` +Although the orography is zero, you have to pass on `spectral_grid` so that it can +still initialize zero-arrays of the right size and element type. Awesome. +This time the initial conditions should be set the the Galewsky et al.[^1] zonal +jet, which is already defined as +```julia +julia> initial_conditions = ZonalJet() +ZonalJet + latitude: Float64 45.0 + width: Float64 19.28571428571429 + umax: Float64 80.0 + perturb_lat: Float64 45.0 + perturb_lon: Float64 270.0 + perturb_xwidth: Float64 19.098593171027442 + perturb_ywidth: Float64 3.819718634205488 + perturb_height: Float64 120.0 +``` +The jet sits at 45˚N with a maximum velocity of 80m/s and a perturbation as described in their paper. +Now we construct a model, but this time a `ShallowWaterModel` +``` +julia> model = ShallowWaterModel(;spectral_grid, orography, initial_conditions); +julia> simulation = initialize!(model); +``` +![Galewsky jet unicode plot](../img/galewsky.jpg) -If provided, the number format has to be the first argument, the model (`Barotropic`, `ShallowWater`, -`PrimitiveDry`, `PrimitiveWet` are available) the second, and all other arguments are keyword -arguments. +Oh yeah. That looks like the wobbly jet in their paper. Let's run it again for another 6 days +but this time also store [NetCDF output](@ref). +``` +julia> run!(simulation,n_days=6,output=true) +Weather is speedy: run 0002 100%|███████████████████████| Time: 0:00:12 (115.37 years/day) +``` +The progress bar tells us that the simulation run got the identification "0002", meaning that +data is stored in the folder `/run_0002`, so let's plot that data properly (and not just using UnicodePlots). +```julia +julia> using PyPlot, NCDatasets +julia> ds = NCDataset("run_0002/output.nc"); +julia> ds["vor"] +vor (384 × 192 × 1 × 25) + Datatype: Float32 + Dimensions: lon × lat × lev × time + Attributes: + units = 1/s + missing_value = NaN + long_name = relative vorticity + _FillValue = NaN +``` +Vorticity `vor` is stored as a 384x192x1x25 array, we may want to look at the first time step, +which is the end of the previous simulation (time=6days) which we didn't store output for. +```julia +julia> vor = ds["vor"][:,:,1,1]; +julia> lat = ds["lat"][:]; +julia> lon = ds["lon"][:]; +julia> pcolormesh(lon,lat,vor') +``` +Which looks like -## The `run_speedy` interface +![Galewsky jet pyplot](../img/galewsky_nc_6days.png) -```@docs -run_speedy +You see that the unicode plot heavily coarse-grains the simulation, well it's unicode after all! +And now the last time step, that means time=12days is +```julia +julia> vor = ds["vor"][:,:,1,25]; +julia> pcolormesh(lon,lat,vor') +``` + +![Galewsky jet pyplot](../img/galewsky_nc_12days.png) + +The jet broke up into many small eddies, but the turbulence is still confined to the northern hemisphere, cool! +How this may change when we add mountains (we had `NoOrography` above!), say Earth's orography, you may ask? +Let's try it out! We create an `EarthOrography` struct like so + +```julia +julia> orography = EarthOrography(spectral_grid) +EarthOrography{Float32, OctahedralGaussianGrid{Float32}}: + path::String = SpeedyWeather.jl/input_data + file::String = orography_F512.nc + scale::Float64 = 1.0 + smoothing::Bool = true + smoothing_power::Float64 = 1.0 + smoothing_strength::Float64 = 0.1 + smoothing_truncation::Int64 = 85 +``` + +It will read the orography from file as shown, and there are some smoothing options too, but let's not change them. +Same as before, create a model, intialize into a simulation, run. This time directly for 12 days so that we can +compare with the last plot +```julia +julia> model = ShallowWaterModel(;spectral_grid, orography, initial_conditions); +julia> simulation = initialize!(model); +julia> run!(simulation,n_days=12,output=true) +Weather is speedy: run 0003 100%|███████████████████████| Time: 0:00:35 (79.16 years/day) ``` +This time the run got the id "0003", but otherwise we do as before. -## The `initialize_speedy` interface +![Galewsky jet pyplot](../img/galewsky_nc_12days_mountains.png) + +Interesting! The initial conditions have zero velocity in the southern hemisphere, but still, one can see +some imprint of the orography on vorticity. You can spot the coastline of Antarctica; the Andes and +Greenland are somewhat visible too. Mountains also completely changed the flow after 12 days, +probably not surprising! + +## SpectralGrid + +The life of every SpeedyWeather.jl simulation starts with a `SpectralGrid` object. +We have seen some examples above, now let's look into the details ```@docs -initialize_speedy +SpectralGrid ``` + +## References + +[^1] Galewsky, Scott, Polvani, 2004. *An initial-value problem for testing numerical models of the global shallow-water equations*, Tellus A. +DOI: [10.3402/tellusa.v56i5.14436](https://doi.org/10.3402/tellusa.v56i5.14436) \ No newline at end of file diff --git a/src/SpeedyWeather.jl b/src/SpeedyWeather.jl index d68e33222..b6a5ab13c 100644 --- a/src/SpeedyWeather.jl +++ b/src/SpeedyWeather.jl @@ -52,6 +52,9 @@ export Model, PrimitiveDryModel, PrimitiveWetModel +export Earth, + EarthAtmosphere + # EXPORT GRIDS export SpectralGrid, Geometry @@ -80,7 +83,7 @@ export StartFromFile, StartFromRest, ZonalJet, ZonalWind, - StartWithVorticity + StartWithRandomVorticity # EXPORT TEMPERATURE RELAXATION SCHEMES export NoTemperatureRelaxation, diff --git a/src/dynamics/initial_conditions.jl b/src/dynamics/initial_conditions.jl index e6dce6219..d83fdf801 100644 --- a/src/dynamics/initial_conditions.jl +++ b/src/dynamics/initial_conditions.jl @@ -1,5 +1,5 @@ # default initial conditions by model -initial_conditions_default(::Type{<:Barotropic}) = StartWithVorticity() +initial_conditions_default(::Type{<:Barotropic}) = StartWithRandomVorticity() initial_conditions_default(::Type{<:ShallowWater}) = ZonalJet() initial_conditions_default(::Type{<:PrimitiveEquation}) = ZonalWind() @@ -46,7 +46,7 @@ end """Start with random vorticity as initial conditions $(TYPEDFIELDS)""" -@with_kw struct StartWithVorticity <: InitialConditions +@with_kw struct StartWithRandomVorticity <: InitialConditions "Power law the vorticity should be spectrally distributed by" power_law::Float64 = -3 @@ -59,7 +59,7 @@ end $(TYPEDSIGNATURES) Start with random vorticity as initial conditions""" function initial_conditions!( progn::PrognosticVariables{NF}, - initial_conditions::StartWithVorticity, + initial_conditions::StartWithRandomVorticity, model::ModelSetup) where NF lmax = progn.trunc+1 diff --git a/src/dynamics/models.jl b/src/dynamics/models.jl index 08abcabcf..a9ec6db6b 100644 --- a/src/dynamics/models.jl +++ b/src/dynamics/models.jl @@ -28,7 +28,7 @@ $(TYPEDFIELDS)""" planet::AbstractPlanet = Earth() atmosphere::AbstractAtmosphere = EarthAtmosphere() forcing::AbstractForcing{NF} = NoForcing(spectral_grid) - initial_conditions::InitialConditions = StartWithVorticity() + initial_conditions::InitialConditions = StartWithRandomVorticity() # NUMERICS time_stepping::TimeStepper{NF} = Leapfrog(spectral_grid)