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Merge pull request #85 from ali-ramadhan/forcings
Support for user-defined forcing functions.
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,102 +1,109 @@ | ||
| using Statistics: mean | ||
| using Plots | ||
| using Oceananigans | ||
|
|
||
| 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 | ||
|
|
||
| function impose_cooling_disk!(model::Model) | ||
| g = model.grid | ||
| c = model.constants | ||
|
|
||
| # 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]. | ||
|
|
||
| αᵥ = 2.07e-4 # Volumetric coefficient of thermal expansion for water [K⁻¹]. | ||
| cᵥ = 4181.3 # Isobaric mass heat capacity [J / kg·K]. | ||
|
|
||
| Tz = Ns^2 / (c.g * αᵥ) # Vertical temperature gradient [K/m]. | ||
|
|
||
| # 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) | ||
|
|
||
| # Calculate vertical temperature profile and convert to Kelvin. | ||
| T_ref = 273.15 .+ Ts .+ Tz .* (g.zC .- mean(Tz * g.zC)) | ||
|
|
||
| # Impose reference temperature profile. | ||
| model.tracers.T.data .= repeat(reshape(T_ref, 1, 1, g.Nz), g.Nx, g.Ny, 1) | ||
|
|
||
| # Set surface heat flux to zero outside of cooling disk of radius Rᶜ. | ||
| r₀² = @. x₀*x₀ + y₀'*y₀' | ||
|
|
||
| # 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. | ||
|
|
||
| # 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 | ||
|
|
||
| function impose_initial_conditions!(model::Model) | ||
| g = model.grid | ||
|
|
||
| impose_cooling_disk!(model) | ||
|
|
||
| @. model.tracers.S.data = model.eos.S₀ | ||
|
|
||
| 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 | ||
|
|
||
| # 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) | ||
|
|
||
| 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 |
|---|---|---|
| @@ -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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