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Merge pull request #85 from ali-ramadhan/forcings
Support for user-defined forcing functions.
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using Statistics: mean | ||
using Plots | ||
using Oceananigans | ||
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function deep_convection_3d() | ||
Nx, Ny, Nz = 100, 100, 50 | ||
Lx, Ly, Lz = 2000, 2000, 1000 | ||
Nt, Δt = 500, 20 | ||
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model = Model((Nx, Ny, Nz), (Lx, Ly, Lz)) | ||
impose_initial_conditions!(model) | ||
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nc_writer = NetCDFFieldWriter(".", "deep_convection_3d", 50) | ||
push!(model.output_writers, nc_writer) | ||
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time_step!(model; Nt=Nt, Δt=Δt) | ||
# make_temperature_movies(model, field_writer) | ||
end | ||
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function impose_cooling_disk!(model::Model) | ||
g = model.grid | ||
c = model.constants | ||
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# Parameters for generating initial surface heat flux. | ||
Rc = 600 # Radius of cooling disk [m]. | ||
Ts = 20 # Surface temperature [°C]. | ||
Q₀ = -800 # Cooling disk heat flux [W/m²]. | ||
Q₁ = 10 # Noise added to cooling disk heat flux [W/m²]. | ||
Ns = 5 * (c.f * Rc/g.Lz) # Stratification or Brunt–Väisälä frequency [s⁻¹]. | ||
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αᵥ = 2.07e-4 # Volumetric coefficient of thermal expansion for water [K⁻¹]. | ||
cᵥ = 4181.3 # Isobaric mass heat capacity [J / kg·K]. | ||
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Tz = Ns^2 / (c.g * αᵥ) # Vertical temperature gradient [K/m]. | ||
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# Center horizontal coordinates so that (x,y) = (0,0) corresponds to the center | ||
# of the domain (and the cooling disk). | ||
x₀ = g.xC .- mean(g.xC) | ||
y₀ = g.yC .- mean(g.yC) | ||
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# Calculate vertical temperature profile and convert to Kelvin. | ||
T_ref = 273.15 .+ Ts .+ Tz .* (g.zC .- mean(Tz * g.zC)) | ||
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# Impose reference temperature profile. | ||
model.tracers.T.data .= repeat(reshape(T_ref, 1, 1, g.Nz), g.Nx, g.Ny, 1) | ||
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# Set surface heat flux to zero outside of cooling disk of radius Rᶜ. | ||
r₀² = @. x₀*x₀ + y₀'*y₀' | ||
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# Generate surface heat flux field with small random fluctuations. | ||
Q = Q₀ .+ Q₁ * (0.5 .+ rand(g.Nx, g.Ny)) | ||
Q[findall(r₀² .> Rc^2)] .= 0 # Set Q=0 outside cooling disk. | ||
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# Convert surface heat flux into 3D forcing term for use when calculating | ||
# source terms at each time step. Also convert surface heat flux [W/m²] | ||
# into a temperature tendency forcing [K/s]. | ||
@. model.forcings.FT.data[:, :, 1] = (Q / cᵥ) * (g.Az / (model.eos.ρ₀ * g.V)) | ||
nothing | ||
end | ||
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function impose_initial_conditions!(model::Model) | ||
g = model.grid | ||
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impose_cooling_disk!(model) | ||
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@. model.tracers.S.data = model.eos.S₀ | ||
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pHY_profile = [-model.eos.ρ₀ * model.constants.g * h for h in g.zC] | ||
model.pressures.pHY.data .= repeat(reshape(pHY_profile, 1, 1, g.Nz), g.Nx, g.Ny, 1) | ||
nothing | ||
end | ||
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# function make_temperature_movies(model::Model, fw::FieldWriter) | ||
# n_frames = Int(model.clock.time_step / fw.output_frequency) | ||
# | ||
# xC, yC, zC = model.grid.xC, model.grid.yC, model.grid.zC | ||
# Δt = 20 | ||
# | ||
# print("Creating temperature movie... ($n_frames frames)\n") | ||
# | ||
# Plots.gr() | ||
# default(dpi=300) | ||
# movie = @animate for tidx in 0:n_frames | ||
# print("\rframe = $tidx / $n_frames ") | ||
# temperature = read_output(model, fw, "T", tidx*fw.output_frequency*Δt) | ||
# Plots.heatmap(xC, zC, rotl90(temperature[:, 50, :]) .- 293.15, color=:balance, | ||
# clims=(-0.1, 0), | ||
# title="T @ t=$(tidx*fw.output_frequency*Δt)") | ||
# end | ||
# | ||
# mp4(movie, "deep_convection_3d_$(round(Int, time())).mp4", fps = 30) | ||
# | ||
# print("Creating surface temperature movie... ($n_frames frames)\n") | ||
# movie = @animate for tidx in 0:n_frames | ||
# print("\rframe = $tidx / $n_frames ") | ||
# temperature = read_output(model, fw, "T", tidx*fw.output_frequency*Δt) | ||
# Plots.heatmap(xC, yC, temperature[:, :, 1] .- 293.15, color=:balance, | ||
# clims=(-0.1, 0), | ||
# title="T @ t=$(tidx*fw.output_frequency*Δt)") | ||
# end | ||
# mp4(movie, "deep_convection_3d_$(round(Int, time())).mp4", fps = 30) | ||
# end | ||
using Statistics: mean | ||
using Plots | ||
using Oceananigans | ||
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function impose_cooling_disk!(model::Model) | ||
g = model.grid | ||
c = model.constants | ||
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# Parameters for generating initial surface heat flux. | ||
Rc = 600 # Radius of cooling disk [m]. | ||
Ts = 20 # Surface temperature [°C]. | ||
Q₀ = -800 # Cooling disk heat flux [W/m²]. | ||
Q₁ = 10 # Noise added to cooling disk heat flux [W/m²]. | ||
Ns = 5 * (c.f * Rc/g.Lz) # Stratification or Brunt–Väisälä frequency [s⁻¹]. | ||
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αᵥ = 2.07e-4 # Volumetric coefficient of thermal expansion for water [K⁻¹]. | ||
cᵥ = 4181.3 # Isobaric mass heat capacity [J / kg·K]. | ||
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Tz = Ns^2 / (c.g * αᵥ) # Vertical temperature gradient [K/m]. | ||
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# Center horizontal coordinates so that (x,y) = (0,0) corresponds to the center | ||
# of the domain (and the cooling disk). | ||
x₀ = g.xC .- mean(g.xC) | ||
y₀ = g.yC .- mean(g.yC) | ||
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# Calculate vertical temperature profile and convert to Kelvin. | ||
T_ref = 273.15 .+ Ts .+ Tz .* (g.zC .- mean(Tz * g.zC)) | ||
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# Impose reference temperature profile. | ||
model.tracers.T.data .= repeat(reshape(T_ref, 1, 1, g.Nz), g.Nx, g.Ny, 1) | ||
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# Set surface heat flux to zero outside of cooling disk of radius Rᶜ. | ||
r₀² = @. x₀*x₀ + y₀'*y₀' | ||
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# Generate surface heat flux field with small random fluctuations. | ||
Q = Q₀ .+ Q₁ * (0.5 .+ rand(g.Nx, g.Ny)) | ||
Q[findall(r₀² .> Rc^2)] .= 0 # Set Q=0 outside cooling disk. | ||
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# Convert surface heat flux into 3D forcing term for use when calculating | ||
# source terms at each time step. Also convert surface heat flux [W/m²] | ||
# into a temperature tendency forcing [K/s]. | ||
@. model.forcings.FT.data[:, :, 1] = (Q / cᵥ) * (g.Az / (model.eos.ρ₀ * g.V)) | ||
@show model.forcings.FT.data[50, 50, 1] | ||
nothing | ||
end | ||
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function impose_initial_conditions!(model::Model) | ||
g = model.grid | ||
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impose_cooling_disk!(model) | ||
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@. model.tracers.S.data = model.eos.S₀ | ||
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pHY_profile = [-model.eos.ρ₀ * model.constants.g * h for h in g.zC] | ||
model.pressures.pHY.data .= repeat(reshape(pHY_profile, 1, 1, g.Nz), g.Nx, g.Ny, 1) | ||
nothing | ||
end | ||
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# function make_temperature_movies(model::Model, fw::FieldWriter) | ||
# n_frames = Int(model.clock.time_step / fw.output_frequency) | ||
# | ||
# xC, yC, zC = model.grid.xC, model.grid.yC, model.grid.zC | ||
# Δt = 20 | ||
# | ||
# print("Creating temperature movie... ($n_frames frames)\n") | ||
# | ||
# Plots.gr() | ||
# default(dpi=300) | ||
# movie = @animate for tidx in 0:n_frames | ||
# print("\rframe = $tidx / $n_frames ") | ||
# temperature = read_output(model, fw, "T", tidx*fw.output_frequency*Δt) | ||
# Plots.heatmap(xC, zC, rotl90(temperature[:, 50, :]) .- 293.15, color=:balance, | ||
# clims=(-0.1, 0), | ||
# title="T @ t=$(tidx*fw.output_frequency*Δt)") | ||
# end | ||
# | ||
# mp4(movie, "deep_convection_3d_$(round(Int, time())).mp4", fps = 30) | ||
# | ||
# print("Creating surface temperature movie... ($n_frames frames)\n") | ||
# movie = @animate for tidx in 0:n_frames | ||
# print("\rframe = $tidx / $n_frames ") | ||
# temperature = read_output(model, fw, "T", tidx*fw.output_frequency*Δt) | ||
# Plots.heatmap(xC, yC, temperature[:, :, 1] .- 293.15, color=:balance, | ||
# clims=(-0.1, 0), | ||
# title="T @ t=$(tidx*fw.output_frequency*Δt)") | ||
# end | ||
# mp4(movie, "deep_convection_3d_$(round(Int, time())).mp4", fps = 30) | ||
# end | ||
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Nx, Ny, Nz = 100, 100, 50 | ||
Lx, Ly, Lz = 2000, 2000, 1000 | ||
Nt, Δt = 1000, 20 | ||
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model = Model((Nx, Ny, Nz), (Lx, Ly, Lz)) | ||
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# impose_initial_conditions!(model) | ||
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# We will impose a surface heat flux of -800 W/m² ≈ -9e-6 K/s in a square | ||
# on the surface of the domain. | ||
@inline surface_cooling_disk(u, v, w, T, S, Nx, Ny, Nz, Δx, Δy, Δz, i, j, k) = ifelse(k == 1 && 20 < i < 80 && 20 < j < 80, -9e-6, 0) | ||
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# Only impose surface_cooling_disk on the temperature field. | ||
model.forcing = Forcing(nothing, nothing, nothing, surface_cooling_disk, nothing) | ||
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nc_writer = NetCDFFieldWriter(".", "deep_convection_3d", 20) | ||
push!(model.output_writers, nc_writer) | ||
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time_step!(model; Nt=Nt, Δt=Δt) | ||
# make_temperature_movies(model, field_writer) |
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Original file line number | Diff line number | Diff line change |
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@@ -0,0 +1,28 @@ | ||
"Dummy function and forcing default." | ||
@inline zero_func(args...) = 0 | ||
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""" | ||
Forcing(Fu, Fv, Fw, FF, FS) | ||
Forcing(; Fu=zero_func, Fv=zero_func, Fw=zero_func, FT=zero_func, FS=zero_func) | ||
Construct a `Forcing` to specify functions that force `u`, `v`, `w`, `T`, and `S`. | ||
Forcing functions default to `zero_func`, which does nothing. | ||
""" | ||
struct Forcing{Tu,Tv,Tw,TT,TS} | ||
u::Tu | ||
v::Tv | ||
w::Tw | ||
T::TT | ||
S::TS | ||
function Forcing(Fu, Fv, Fw, FT, FS) | ||
Fu = Fu === nothing ? zero_func : Fu | ||
Fv = Fv === nothing ? zero_func : Fv | ||
Fw = Fw === nothing ? zero_func : Fw | ||
FT = FT === nothing ? zero_func : FT | ||
FS = FS === nothing ? zero_func : FS | ||
new{typeof(Fu),typeof(Fv),typeof(Fw),typeof(FT),typeof(FS)}(Fu, Fv, Fw, FT, FS) | ||
end | ||
end | ||
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Forcing(; Fu=nothing, Fv=nothing, Fw=nothing, FT=nothing, FS=nothing) = Forcing(Fu, Fv, Fw, FT, FS) |
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