diff --git a/.gitignore b/.gitignore index e5ea7a1..1f0f82c 100644 --- a/.gitignore +++ b/.gitignore @@ -9,8 +9,12 @@ docs/site/ *.vtk *.dat -*.csv *.vtu *.pvtu *.swp *.png + +*Manifest.toml + +src/data/*.tsv +src/data/*.ipynb diff --git a/Manifest.toml b/Manifest.toml deleted file mode 100644 index 638aeb2..0000000 --- a/Manifest.toml +++ /dev/null @@ -1,50 +0,0 @@ -# This file is machine-generated - editing it directly is not advised - -[[Base64]] -uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f" - -[[CLIMAParameters]] -deps = ["Test"] -git-tree-sha1 = "0f79df98f4313236889492f8f3cebecfc6af0613" -uuid = "6eacf6c3-8458-43b9-ae03-caf5306d3d53" -version = "0.1.10" - -[[Dates]] -deps = ["Printf"] -uuid = "ade2ca70-3891-5945-98fb-dc099432e06a" - -[[Distributed]] -deps = ["Random", "Serialization", "Sockets"] -uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b" - -[[InteractiveUtils]] -deps = ["Markdown"] -uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240" - -[[Logging]] -uuid = "56ddb016-857b-54e1-b83d-db4d58db5568" - -[[Markdown]] -deps = ["Base64"] -uuid = "d6f4376e-aef5-505a-96c1-9c027394607a" - -[[Printf]] -deps = ["Unicode"] -uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7" - -[[Random]] -deps = ["Serialization"] -uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" - -[[Serialization]] -uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b" - -[[Sockets]] -uuid = "6462fe0b-24de-5631-8697-dd941f90decc" - -[[Test]] -deps = ["Distributed", "InteractiveUtils", "Logging", "Random"] -uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40" - -[[Unicode]] -uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5" diff --git a/Project.toml b/Project.toml index 0a618df..0d24fdc 100644 --- a/Project.toml +++ b/Project.toml @@ -6,7 +6,9 @@ version = "0.2.1" [deps] CLIMAParameters = "6eacf6c3-8458-43b9-ae03-caf5306d3d53" Dates = "ade2ca70-3891-5945-98fb-dc099432e06a" +DelimitedFiles = "8bb1440f-4735-579b-a4ab-409b98df4dab" +Interpolations = "a98d9a8b-a2ab-59e6-89dd-64a1c18fca59" [compat] -julia = "1.5" +julia = "1.5, 1.7" CLIMAParameters = "0.1.10, 0.4, 0.5, 0.6" diff --git a/docs/Manifest.toml b/docs/Manifest.toml deleted file mode 100644 index e964e2c..0000000 --- a/docs/Manifest.toml +++ /dev/null @@ -1,828 +0,0 @@ -# This file is machine-generated - 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-# turn longitude of perihelion by 180° -CLIMAParameters.Planet.lon_perihelion(::EarthParameterSet) = lon_perihelion_epoch(param_set) + π -ϖ1 = lon_perihelion(param_set) -days, lats, F1 = calc_day_lat_insolation(365, 180, param_set) - -title = format("g = {:.2f}, w = {:.2f}, e = {:.2f}", γ0, ϖ1, e0) # hide -plot_day_lat_insolation(days, lats, F1, "YlOrRd", title, "insol_example2a.png") -title = format("insolation diff: w' = {:.2f} - w = {:.2f}", ϖ1, ϖ0) # hide -plot_day_lat_insolation(days, lats, F1-F0, "PRGn", title, "insol_example2b.png") -``` -![](insol_example2a.png) -![](insol_example2b.png) - -## Example 3 +### Insolation with smaller obliquity ```@example using CLIMAParameters # hide using CLIMAParameters.Planet # hide @@ -53,74 +49,24 @@ struct EarthParameterSet <: AbstractEarthParameterSet end # hide const param_set = EarthParameterSet() # hide include("plot_insolation.jl") # hide γ0 = obliq_epoch(param_set) # hide -ϖ0 = lon_perihelion(param_set) # hide +ϖ0 = lon_perihelion_epoch(param_set) # hide e0 = eccentricity_epoch(param_set) # hide days, lats, F0 = calc_day_lat_insolation(365, 180, param_set) # hide -# perihelion back to normal. decrease γ to 22.0° -CLIMAParameters.Planet.obliq_epoch(::EarthParameterSet) = deg2rad(22.0) +# decrease γ to 20.0° +CLIMAParameters.Planet.obliq_epoch(::EarthParameterSet) = deg2rad(20.0) γ1 = obliq_epoch(param_set) days, lats, F2 = calc_day_lat_insolation(365, 180, param_set) -title = format("g = {:.2f}, w = {:.2f}, e = {:.2f}", γ1, ϖ0, e0) # hide -plot_day_lat_insolation(days,lats,F2,"YlOrRd", title, "insol_example3a.png") -title = format("insolation diff: g' = {:.2f} - g = {:.2f}", γ1, γ0) # hide -plot_day_lat_insolation(days, lats, F2-F0, "PRGn", title, "insol_example3b.png") +title = format("γ = {:.2f}°, ϖ = {:.2f}°, e = {:.2f}", rad2deg(γ1), rad2deg(ϖ0), e0) # hide +plot_day_lat_insolation(days,lats,F2,"YlOrRd", title, "insol_example2a.png") +title = format("insolation diff: γ' = {:.2f}° - γ = {:.2f}°", rad2deg(γ1), rad2deg(γ0)) # hide +plot_day_lat_insolation(days, lats, F2-F0, "PRGn", title, "insol_example2b.png") ``` -![](insol_example3a.png) -![](insol_example3b.png) - -## Example 4 -```@example -using CLIMAParameters # hide -using CLIMAParameters.Planet # hide -struct EarthParameterSet <: AbstractEarthParameterSet end # hide -const param_set = EarthParameterSet() # hide -include("plot_insolation.jl") # hide -γ0 = obliq_epoch(param_set) # hide -ϖ0 = lon_perihelion(param_set) # hide -e0 = eccentricity_epoch(param_set) # hide -days, lats, F0 = calc_day_lat_insolation(365, 180, param_set) # hide - -# decrease γ further to 18.0° -CLIMAParameters.Planet.obliq_epoch(::EarthParameterSet) = deg2rad(18.0) -γ2 = obliq_epoch(param_set) -days, lats, F3 = calc_day_lat_insolation(365, 180, param_set) - -title = format("g = {:.2f}, w = {:.2f}, e = {:.2f}", γ2, ϖ0, e0) # hide -plot_day_lat_insolation(days,lats,F3,"YlOrRd", title, "insol_example4a.png") -title = format("insolation diff: g' = {:.2f} - g = {:.2f}", γ2, γ0) # hide -plot_day_lat_insolation(days, lats, F3-F0, "PRGn", title, "insol_example4b.png") -``` -![](insol_example4a.png) -![](insol_example4b.png) - -## Example 5 -```@example -using CLIMAParameters # hide -using CLIMAParameters.Planet # hide -struct EarthParameterSet <: AbstractEarthParameterSet end # hide -const param_set = EarthParameterSet() # hide -include("plot_insolation.jl") # hide -γ0 = obliq_epoch(param_set) # hide -ϖ0 = lon_perihelion(param_set) # hide -e0 = eccentricity_epoch(param_set) # hide -days, lats, F0 = calc_day_lat_insolation(365, 180, param_set) # hide - -# now change obliquity to 60.0° -CLIMAParameters.Planet.obliq_epoch(::EarthParameterSet) = deg2rad(60.0) -γ3 = obliq_epoch(param_set) -days, lats, F4 = calc_day_lat_insolation(365, 180, param_set) - -title = format("g = {:.2f}, w = {:.2f}, e = {:.2f}", γ3, ϖ0, e0) # hide -plot_day_lat_insolation(days,lats,F4,"YlOrRd", title, "insol_example5a.png") -title = format("insolation diff: g' = {:.2f} - g = {:.2f}", γ3, γ0) # hide -plot_day_lat_insolation(days, lats, F4-F0, "PRGn", title, "insol_example5b.png") -``` -![](insol_example5a.png) -![](insol_example5b.png) +![](insol_example2a.png) +![](insol_example2b.png) -## Example 6 +### Insolation with very large obliquity (like Uranus) ```@example using CLIMAParameters # hide using CLIMAParameters.Planet # hide @@ -128,7 +74,7 @@ struct EarthParameterSet <: AbstractEarthParameterSet end # hide const param_set = EarthParameterSet() # hide include("plot_insolation.jl") # hide γ0 = obliq_epoch(param_set) # hide -ϖ0 = lon_perihelion(param_set) # hide +ϖ0 = lon_perihelion_epoch(param_set) # hide e0 = eccentricity_epoch(param_set) # hide days, lats, F0 = calc_day_lat_insolation(365, 180, param_set) # hide @@ -137,11 +83,11 @@ CLIMAParameters.Planet.obliq_epoch(::EarthParameterSet) = deg2rad(97.86) γ4 = obliq_epoch(param_set) days, lats, F5 = calc_day_lat_insolation(365, 180, param_set) -title = format("g = {:.2f}, w = {:.2f}, e = {:.2f}", γ4, ϖ0, e0) # hide -plot_day_lat_insolation(days,lats,F5,"YlOrRd", title, "insol_example6a.png") -title = format("insolation diff: g' = {:.2f} - g = {:.2f}", γ4, γ0) # hide -plot_day_lat_insolation(days, lats, F5-F0, "PRGn", title, "insol_example6b.png") +title = format("γ = {:.2f}°, ϖ = {:.2f}°, e = {:.2f}", rad2deg(γ4), rad2deg(ϖ0), e0) # hide +plot_day_lat_insolation(days,lats,F5,"YlOrRd", title, "insol_example3a.png") +title = format("insolation diff: γ' = {:.2f}° - γ = {:.2f}°", rad2deg(γ4), rad2deg(γ0)) # hide +plot_day_lat_insolation(days, lats, F5-F0, "PRGn", title, "insol_example3b.png") ``` -![](insol_example6a.png) -![](insol_example6b.png) \ No newline at end of file +![](insol_example3a.png) +![](insol_example3b.png) \ No newline at end of file diff --git a/docs/src/Milankovitch.md b/docs/src/Milankovitch.md new file mode 100644 index 0000000..eaa54f4 --- /dev/null +++ b/docs/src/Milankovitch.md @@ -0,0 +1,78 @@ +# Milankovitch Cycles + +## Variations in orbital parameters +```@example +using Insolation +using Plots + +dt = collect(-500e3:100:500e3); # years +y = hcat(collect.(orbital_params.(dt))...); +ϖ, γ, e = y[1,:], y[2,:], y[3,:]; + +p1 = plot(dt ./ (1e3), sin.(ϖ), legend=false); +ylabel!("sin(ϖ)"); +p2 = plot(dt ./ (1e3), γ, legend=false); +ylabel!("γ"); +p3 = plot(dt ./ (1e3), e, legend=false); +ylabel!("e"); +xlabel!("Time (kyr)") +plot(p1, p2, p3, layout = grid(3,1), size=(600,400), dpi=250); +savefig("orbital_params.png") +``` +![](orbital_params.png) + + +## Variations in date of vernal equinox and perihelion on centennial timescales +```@example +using Roots +using Optim +include("find_equinox_perihelion_dates.jl") + +years = 1800:2200; +days_eq = zeros(length(years)); +days_per = zeros(length(years)); +for (i,year) in enumerate(years) + f = (x -> zdiff(x, year)) + days_eq[i] = find_zeros(f,-30,60)[1] + + f = (x -> edist(x, year)) + res = optimize(f,-50,50) + days_per[i] = Optim.minimizer(res)[1] +end + +plot((years), days_eq, legend=false, dpi=250) +xlabel!("Year") +ylabel!("Day in March") +title!("Date of vernal equinox") +savefig("equinox_dates.png") + +plot((years), days_per, legend=false, dpi=250) +xlabel!("Year") +ylabel!("Day in Jan") +title!("Date of perihelion") +savefig("perihelion_dates.png") +``` +The Gregorian calendar was introduced (with leap years and leap centuries) precisely to keep the vernal equinox approximately fixed at March 21 on centennial timescales. +![](equinox_dates.png) +![](perihelion_dates.png) + +## Variations in date of vernal equinox on millenial timescales +```@example +using Roots +include("find_equinox_perihelion_dates.jl") + +years = -50e3:100:30e3 +days_eq = zeros(length(years)) +for (i,year) in enumerate(years) + f = (x -> zdiff(x, year)) + days_eq[i] = find_zeros(f,-100,100)[1] +end + +plot((years / 1000), days_eq, legend=false, dpi=250) +xlabel!("kyr") +ylabel!("Day in March") +title!("Date of vernal equinox") +savefig("equinox_dates_long.png") +``` +As we can see however, the vernal equinox changes appreciably on very long timescales. For studies of paleoclimates, it is often conventional to reference the day of year relative to the vernal equinox rather than relative to January 1 to make meaningful comparisons of "seasons" and the like. +![](equinox_dates_long.png) diff --git a/docs/src/ZenithAngleEquations.md b/docs/src/ZenithAngleEquations.md index a7aced8..512b0dd 100644 --- a/docs/src/ZenithAngleEquations.md +++ b/docs/src/ZenithAngleEquations.md @@ -1,72 +1,77 @@ # Zenith Angle Equations -These equations are from Tapio Schneiders's textbook draft chapter 3. +These equations are from Tapio Schneider and Lenka Novak's textbook draft, chapter 3. -## Mean Anomaly (3.6) +## Mean Anomaly +The mean anomaly $M$ at current time $t$ is ```math -\begin{aligned} -\beta &= \sqrt{1-e^2} \\ -M_{V0} &= -\varpi_0 + \left(e+\frac{1}{4}e^3 \right) (1+\beta)sin(\varpi_0) - \frac{1}{2}e^2 \left(\frac{1}{2}+\beta \right) sin(2\varpi_0) + \frac{1}{4}e^3 \left(\frac{1}{3}+\beta \right) sin(3\varpi_0) \\ -t_V &= \frac{Y_a (M_{V0} - M_0)}{2\pi} + t_0 \\ -M_V &= -\varpi + \left(e+\frac{1}{4}e^3 \right) (1+\beta)sin(\varpi) - \frac{1}{2}e^2 \left(\frac{1}{2}+\beta \right) sin(2\varpi) + \frac{1}{4}e^3 \left(\frac{1}{3}+\beta \right) sin(3\varpi) \\ -M &= \frac{2\pi (t - t_V)}{Y_a} + M_V -\end{aligned} +M = \frac{2\pi (t - t_0)}{Y_a} + M_0, ``` -where $e$ is the oribital eccentricity, $t_0$ is the time at the epoch (J2000), defined as January 1, 2000 at 12hr UTC, -$M_0$ is the mean anomaly at the epoch, $\varpi_0$ is the longitude of perihelion at the epoch, -and $Y_a$ is the length of the anomalistic year. -$t_V$ is the time of the vernal equinox, $M_V$ is the mean anomaly at the vernal equinox, and $M$ is the mean anomaly at current time $t$. +where $t_0$ is the time at the epoch (J2000), defined as January 1, 2000 at 12hr UTC, +$M_0$ is the mean anomaly at the epoch, and $Y_a$ is the length of the anomalistic year. -## True Anomaly (3.8) +## True Anomaly +The true anomaly $A$ is given by ```math -A = M + \left( 2e - \frac{1}{4}e^{3} \right) \sin(M) + \frac{5}{4} e^2 \sin(2M) + \frac{13}{12} e^3 \sin(3M) +A = M + \left( 2e - \frac{1}{4}e^{3} \right) \sin(M) + \frac{5}{4} e^2 \sin(2M) + \frac{13}{12} e^3 \sin(3M). ``` -## True Longitude (3.9) +## True Longitude +The true longitude is the sum of the true anomaly and the longitude of perihelion ($\varpi$), ```math -L = A + \varpi +L = A + \varpi. ``` -## Declination (3.16) +## Declination +The sine of the declination angle is ```math -\sin \delta = \sin \gamma \sin L +\sin \delta = \sin \gamma \sin L, ``` where $\gamma$ is the orbital obliquity. ## Equation of Time +The equation of time corrects for the difference between apparent solar time (local solar noon) +and mean solar time due to the obliquity of the planet and eccentricity of the orbit, ```math -\Delta t = -2 e \sin(M) + \tan^2(\gamma/2) \sin(2M+2\varpi) +\Delta t = -2 e \sin(M) + \tan^2(\gamma/2) \sin(2M+2\varpi). ``` -## Hour Angle (3.17) +## Hour Angle +The hour angle $\eta$ measures the longitude difference between the subsolar point position at time $t$ and the current location. +The hour angle is calculated with respect to the prime meridian and then the longitude is added to calculate the hour angle at the given location. ```math -\eta = \frac{2\pi (t+\Delta t)}{T_d} +\eta = \eta_UTC + \lambda = \frac{2\pi (t+\Delta t)}{T_d} + \lambda, ``` -where $t$ is the current time referenced to the epoch $t_0$ and $\Delta t$ is the correction from the equation of time that distinguishes between mean solar time and the apparant solar time, which differ due to the eccentricity of Earth's orbit and the obliquity of the ecliptic. $T_d$ is the length of a day. +where $t$ is the current time referenced to the epoch $t_0$, $T_d$ is the length of a day, and $\lambda$ is the longitude. -## Zenith Angle (3.18) +## Zenith Angle +The zenith angle at any time is given by, ```math -\cos \theta = \cos \phi \cos \delta \cos \eta + \sin \phi \sin \delta +\cos \theta = \cos \phi \cos \delta \cos \eta + \sin \phi \sin \delta, ``` where $\phi$ is the latitude. -## Sunrise/Sunset Angle (3.19) +## Sunrise/Sunset Angle +The sunrise/sunset angle is the hour angle $\eta_d$ at which the sun rises or sets, ```math -\cos \eta_d = - \tan \phi \tan \delta +\cos \eta_d = - \tan \phi \tan \delta. ``` -## Daily-averaged Zenith Angle (3.20) +## Diurnally averaged Insolation +The diurnally averaged insolation is obtained from the averaged cosine of the zenith angle, computed in terms of the sunrise/sunset hour angle as ```math -\overline{\cos \theta} = \frac{1}{\pi} \left( \eta_d \sin \phi \sin \delta + \cos \phi \cos \delta \cos \eta_d \right) +\overline{\cos \theta} = \frac{1}{\pi} \left( \eta_d \sin \phi \sin \delta + \cos \phi \cos \delta \cos \eta_d \right). ``` ## Azimuth Angle +The azimuth angle is ```math -\zeta = \frac{3\pi}{2} - arctan \left( \frac{\sin \eta}{\cos \eta \sin \phi - \tan \delta \cos \phi} \right) +\zeta = \frac{3\pi}{2} - \arctan \left( \frac{\sin \eta}{\cos \eta \sin \phi - \tan \delta \cos \phi} \right). ``` -where the azimuth is defined as 0 to the East and increasing counter-clockwise, such that at local solar noon when $\eta=0$, then $\zeta = \frac{3\pi}{2}$. +The azimuth is defined as 0 to the East and increasing counter-clockwise, such that at local solar noon when $\eta=0$, then $\zeta = \frac{3\pi}{2}$. -## Earth-Sun Distance (3.1) +## Planet-Sun Distance +The distance between the planet and the sun depends on the eccentricity of the orbit $e$, true anomaly $A$, and mean planet-sun distance $d_0$ through ```math d = \frac{1-e^2}{1+e\cos A} d_0 ``` -where $d_0$ is 1 AU. \ No newline at end of file +For the Earth, $d_0 = 1$ AU. \ No newline at end of file diff --git a/docs/src/find_equinox_perihelion_dates.jl b/docs/src/find_equinox_perihelion_dates.jl new file mode 100644 index 0000000..1a47e23 --- /dev/null +++ b/docs/src/find_equinox_perihelion_dates.jl @@ -0,0 +1,38 @@ +using Insolation +using Plots +using Dates + +using CLIMAParameters +using CLIMAParameters.Planet +struct EarthParameterSet <: AbstractEarthParameterSet end +const param_set = EarthParameterSet() + +# Difference in NH and SH zenith angles at time x in given year +function zdiff(x, year) + date = xtomarchdate(x,year) + theta_s, dist = daily_zenith_angle(date, -45., param_set, milankovitch=true) + theta_n, dist = daily_zenith_angle(date, 45., param_set, milankovitch=true) + return theta_n - theta_s +end + +# x is date relative to March 1, with 1.00 representing March 1 00:00 +function xtomarchdate(x, year) + basedate = Dates.DateTime(year, 3, 1) + deltat = Dates.Second(round((x-1)*Planet.day(param_set))) + return basedate + deltat +end + +# Earth-Sun distance +function edist(x, year) + date = xtojandate(x,year) + _, dist = daily_zenith_angle(date, 0., param_set, milankovitch=true) + return dist/orbit_semimaj(param_set) +end + +# x is date relative to Jan 1, with 1.00 representing Jan 1 00:00 +function xtojandate(x, year) + basedate = Dates.DateTime(year, 1, 1) + deltat = Dates.Second(round((x-1)*Planet.day(param_set))) + date = basedate + deltat + return date +end diff --git a/docs/src/index.md b/docs/src/index.md index d7f3c4d..ba59693 100644 --- a/docs/src/index.md +++ b/docs/src/index.md @@ -5,9 +5,13 @@ CurrentModule = Insolation ``` `Insolation.jl` is a library that calculates the zenith angle and insolation -at a given point on Earth (lat, lon) for a given date/time and orbital configuration -(obliquity, eccentricity, and longitude of perihelion). The library is split -between two files, `ZenithAngleCalc.jl` which calculates the zenith angle, azimuth angle, and Earth-sun distance, +at a given point point in space-time on an arbitrary planet. +The spatial location is defined by a (lat, lon) and the date specified with a +DateTime object. +The planet is defined by the orbital parameters +(obliquity, eccentricity, and longitude of perihelion). +The library is split between two files, `ZenithAngleCalc.jl` +which calculates the zenith angle, azimuth angle, and planet-star distance, and `InsolationCalc.jl` which calculates the insolation given a zenith angle. The zenith angle and insolation can both be calculated either as instantaneous @@ -18,10 +22,9 @@ given a DateTime object, or prescribing the orbital parameters as input. The equations used for calculating orbital parameters are from Tapio Schneider's textbook draft. See [Zenith Angle Equations](@ref) for more details. -This package has been designed to be flexible for non-Earth settings as well. -This specific functionality has not yet been implemented [as of 13 Sept 2021]. +This package has been designed to be flexible for an arbitrary planet, but designed +to calculate the insolation on Earth as the input for a climate model. ## Authors `Insolation.jl` is being developed by [the Climate Modeling Alliance](https://clima.caltech.edu). -Specifically it has been developed to be used by [`RRTMGP.jl`](https://github.com/CliMA/RRTMGP.jl) -and the [`ClimateMachine.jl`](https://github.com/CliMA/ClimateMachine.jl). \ No newline at end of file +Specifically it has been developed to be used for the input to [`RRTMGP.jl`](https://github.com/CliMA/RRTMGP.jl) from [`ClimaAtmos.jl`](https://github.com/CliMA/ClimaAtmos.jl). \ No newline at end of file diff --git a/docs/src/library.md b/docs/src/library.md index e5d2219..c9570a2 100644 --- a/docs/src/library.md +++ b/docs/src/library.md @@ -2,6 +2,13 @@ Documenting the public user interface +## Orbital Parameters +```@autodocs +Modules = [Insolation] +Private = false +Pages = ["Insolation.jl"] +``` + ## Zenith Angle ```@autodocs Modules = [Insolation] diff --git a/docs/src/plot_diurnal_cycle.jl b/docs/src/plot_diurnal_cycle.jl new file mode 100644 index 0000000..ec33107 --- /dev/null +++ b/docs/src/plot_diurnal_cycle.jl @@ -0,0 +1,35 @@ +using Insolation +using Plots +using Dates +using Statistics +using Formatting + +using CLIMAParameters +using CLIMAParameters.Planet +struct EarthParameterSet <: AbstractEarthParameterSet end +const param_set = EarthParameterSet() + +using CLIMAParameters: AbstractParameterSet +const APS = AbstractParameterSet + +function diurnal_cycle(lat, lon, date, timezone, filename) + nhours = 1000 + hours = collect(range(0, stop = 24, length = nhours)) + insol = zeros(nhours) + sza = zeros(nhours) + for (i,hr) in enumerate(hours) + h = Int(round(hr + timezone)) + m = Int(round((hr + timezone - h) * 60)) + datetime = date + Dates.Hour(h) + Dates.Minute(m) + S, mu = solar_flux_and_cos_sza(datetime, lon, lat, param_set) + insol[i] = S*mu + sza[i] = rad2deg(acos(mu)) + end + plot(hours, insol, color=:blue, lw=2, label="", + ylabel="Insolation [W/m2]", yguidefontcolor=:blue, dpi=200, + left_margein=10Plots.mm, right_margin=15Plots.mm) + plot!(twinx(), hours, sza, color=:red, lw=2, label="", + ylabel="SZA [deg]", yguidefontcolor=:red) + xlabel!("Local Time") + savefig(filename) +end diff --git a/docs/src/plot_insolation.jl b/docs/src/plot_insolation.jl index 1cfcf7f..1ad8295 100644 --- a/docs/src/plot_insolation.jl +++ b/docs/src/plot_insolation.jl @@ -6,7 +6,6 @@ using Formatting using CLIMAParameters: AbstractParameterSet const APS = AbstractParameterSet -Base.broadcastable(param_set::APS) = Ref(param_set) """ calc_day_lat_insolation(n_days::I, @@ -22,8 +21,8 @@ function calc_day_lat_insolation(n_days::I, # loop over days for (i, d) in enumerate(d_arr) for (j, lat) in enumerate(l_arr) - date = Dates.DateTime(2020,1,1) + Dates.Day(d) - θ, dist = daily_zenith_angle(date, lat, param_set) + date = Dates.DateTime(2000,1,1) + Dates.Day(d) + θ, dist = daily_zenith_angle(date, lat, param_set, milankovitch=false) F_arr[i, j] = insolation(θ, dist, param_set) end end @@ -53,12 +52,13 @@ function plot_day_lat_insolation(d_arr::Array{I}, end p1 = contourf(d_arr, l_arr, F_arr', c=cmap, clims=(vmin,vmax), - title=stitle, xlabel="Days since Jan 1 2020", ylabel="Latitude", colorbar_title="ToA Insolation [W/m2]") + title=stitle, xlabel="Days since Jan 1 2000", ylabel="Latitude", colorbar_title="ToA Insolation [W/m2]") meanF = mean(F_arr, dims=1)[1,:] x1,x2 = [floor(minimum(meanF)), ceil(maximum(meanF))] p2 = plot(meanF, l_arr, xlabel="Annual-mean TOA \nInsolation [W/m2]", ylims=[-90,90], yticks=[-90,-60,-30,0,30,60,90], xlims=[x1,x2], legend = false) - plot(p1, p2, layout = grid(1,2, widths=(0.8,0.2)), size=(800,400), dpi=150) + plot(p1, p2, size=(800,400), layout = grid(1,2, widths=(0.8,0.2)), dpi=250, + left_margin=4Plots.mm, bottom_margin=6Plots.mm, right_margin=6Plots.mm) savefig(file_name) -end \ No newline at end of file +end diff --git a/src/Insolation.jl b/src/Insolation.jl index 452f474..b9306cc 100644 --- a/src/Insolation.jl +++ b/src/Insolation.jl @@ -1,12 +1,48 @@ module Insolation -using Dates - -using CLIMAParameters: AbstractParameterSet +using Dates, DelimitedFiles, Interpolations using CLIMAParameters using CLIMAParameters.Planet +using CLIMAParameters: AbstractParameterSet const APS = AbstractParameterSet -Base.broadcastable(param_set::APS) = Ref(param_set) + +export orbital_params + +mock_t_range = 1.0:1.0:10.0; +mock_x_data = rand(10); +const e_spline_etp = Ref(CubicSplineInterpolation(mock_t_range, mock_x_data, extrapolation_bc = NaN)) +const γ_spline_etp = Ref(CubicSplineInterpolation(mock_t_range, mock_x_data, extrapolation_bc = NaN)) +const ϖ_spline_etp = Ref(CubicSplineInterpolation(mock_t_range, mock_x_data, extrapolation_bc = NaN)) +function __init__() + datapath = joinpath(@__DIR__, "../src/data/", "INSOL.LA2004.BTL.csv"); + x, _ = readdlm(datapath, ',', Float64, header=true); + t_range = x[1,1]*1e3 : 1e3 : x[end,1]*1e3; # array of every 1 kyr to range of years + e_spline_etp[] = CubicSplineInterpolation(t_range, x[:,2], extrapolation_bc = NaN); + γ_spline_etp[] = CubicSplineInterpolation(t_range, x[:,3], extrapolation_bc = NaN); + ϖ_spline_etp[] = CubicSplineInterpolation(t_range, x[:,4], extrapolation_bc = NaN); +end +function e_spline(args...) + return e_spline_etp[](args...) +end +function γ_spline(args...) + return γ_spline_etp[](args...) +end +function ϖ_spline(args...) + return ϖ_spline_etp[](args...) +end + +""" + orbital_params(dt::FT) where {FT <: Real} + +This function returns the orbital parameters (ϖ, γ, e) at dt (years) since J2000 epoch. +Data are read from file and interpolation functions are created in __init__() method. +The functions are stored as global variables that are used inside Insolation.jl. +The parameters vary due to Milankovitch cycles. +Orbital parameters from the Laskar 2004 paper are in the "src/data/INSOL.LA2004.BTL.csv" file. +""" +function orbital_params(dt::FT) where {FT <: Real} + return ϖ_spline(dt), γ_spline(dt), e_spline(dt) +end include("ZenithAngleCalc.jl") include("InsolationCalc.jl") diff --git a/src/InsolationCalc.jl b/src/InsolationCalc.jl index 8a00b62..2f2cf65 100644 --- a/src/InsolationCalc.jl +++ b/src/InsolationCalc.jl @@ -8,13 +8,13 @@ param_set is an AbstractParameterSet from CLIMAParameters.jl. """ function insolation(θ::FT, d::FT, param_set::APS) where {FT <: Real} S0::FT = tot_solar_irrad(param_set) - AU::FT = astro_unit() + d0::FT = orbit_semimaj(param_set) # set max. zenith angle to π/2, insolation should not be negative - if θ > FT(π)/FT(2) - θ = FT(π)/FT(2) + if θ > FT(π)/2 + θ = FT(π)/2 end # weighted irradiance (3.12) - S = S0 * (AU / d)^2 + S = S0 * (d0 / d)^2 # TOA insolation (3.15) F = S * cos(θ) return F @@ -36,16 +36,16 @@ function solar_flux_and_cos_sza(date::DateTime, latitude::FT, param_set::APS) where {FT <: Real} S0::FT = tot_solar_irrad(param_set) - AU::FT = astro_unit() + d0::FT = orbit_semimaj(param_set) # θ = solar zenith angle, ζ = solar azimuth angle, d = earth-sun distance θ, ζ, d = instantaneous_zenith_angle(date, longitude, latitude, param_set) # set max. zenith angle to π/2, insolation should not be negative - if θ > FT(π)/FT(2) - θ = FT(π)/FT(2) + if θ > FT(π)/2 + θ = FT(π)/2 end μ = cos(θ) # TOA solar flux (3.12) - S = S0 * (AU / d)^2 + S = S0 * (d0 / d)^2 # return inputs needed for RRTMGP.jl return S, μ end \ No newline at end of file diff --git a/src/ZenithAngleCalc.jl b/src/ZenithAngleCalc.jl index 18422bc..f31bdd6 100644 --- a/src/ZenithAngleCalc.jl +++ b/src/ZenithAngleCalc.jl @@ -1,72 +1,71 @@ export instantaneous_zenith_angle, daily_zenith_angle -# mean anomaly at vernal equinox, radians (eq 3.11) -function mean_anomaly_vernal_equinox(ϖ::FT, e::FT) where {FT <: Real} - β = (FT(1)-e^FT(2))^FT(0.5) - M_v = -ϖ + (e+FT(0.25)*e^FT(3))*(FT(1)+β)*sin(ϖ) - - FT(0.5)*e^FT(2)*(FT(0.5)+β)*sin(FT(2)*ϖ) - + FT(0.25)*e^FT(3)*(FT(1)/FT(3)+β)*sin(FT(3)*ϖ) - M_v = mod(M_v, FT(2)*FT(π)) - return M_v -end - -# true anomaly, radians (eq 3.8) +# true anomaly, radians function true_anomaly(MA::FT, e::FT) where {FT <: Real} - TA = MA + (FT(2)*e - FT(0.25)*e^FT(3))*sin(MA) - + FT(1.25)*e^FT(2)*sin(FT(2)*MA) - + FT(13)/FT(12)*e^FT(3)*sin(FT(3)*MA) - TA = mod(TA, FT(2)*FT(π)) - return TA + TA = MA + (2*e - FT(1/4)*e^3)*sin(MA) + + FT(5/4)*e^2*sin(2*MA) + + FT(13/12)*e^3*sin(3*MA) + return mod(TA, FT(2π)) end # equation of time, radians function equation_of_time(e::FT, MA::FT, γ::FT, ϖ::FT) where {FT <: Real} - Δt = -FT(2)*e*sin(MA) + tan(γ/FT(2))^FT(2)*sin(FT(2)*(MA + ϖ)) - Δt = mod(Δt+π, FT(2)*FT(π))-π + _Δt = -2*e*sin(MA) + tan(γ/2)^2*sin(2*(MA + ϖ)); + return mod(_Δt+FT(π), FT(2π)) - FT(π) end # calculate the distance, declination, and hour angle (at lon=0) -function distance_declination_hourangle(::Type{FT}, date::DateTime, param_set::APS, eot_correction::Bool) where {FT <: Real} +function distance_declination_hourangle(::Type{FT}, + date::DateTime, + param_set::APS, + eot_correction::Bool, + milankovitch::Bool) where {FT <: Real} Ya::FT = year_anom(param_set) day_length::FT = Planet.day(param_set) - AU::FT = astro_unit() - - _epoch::FT = epoch(param_set) + d0::FT = orbit_semimaj(param_set) M0::FT = mean_anom_epoch(param_set) - ϖ0::FT = lon_perihelion_epoch(param_set) - - γ::FT = obliq_epoch(param_set) - ϖ::FT = lon_perihelion(param_set) - e::FT = eccentricity_epoch(param_set) - # time of vernal equinox in the epoch (rearrangement of 3.6 and 3.10) - M_v0 = mean_anomaly_vernal_equinox(ϖ0, e) - time_v = Ya * (M_v0 - M0) / (FT(2)*FT(π)) + _epoch + epoch_string = "2000-01-01T11:58:56.816" + # epoch_string::String = epoch(param_set) + date0 = DateTime(epoch_string,dateformat"y-m-dTHH:MM:SS.s") + + days_per_year = Ya / day_length; + Δt_years = FT(datetime2julian(date) - datetime2julian(date0)) / days_per_year; - # mean anomaly given mean anomaly at vernal equinox (3.10) - time = datetime2julian(date) * day_length # in seconds - M_v = mean_anomaly_vernal_equinox(ϖ, e) - MA = mod(FT(2)*FT(π) * FT(time - time_v) / Ya + M_v, FT(2)*FT(π)) + # mean anomaly given mean anomaly at epoch + MA = mod(FT(2π) * (Δt_years) + M0, FT(2π)) - # true anomaly, radians (3.8) + # calculate orbital parameters or take values at J2000 + if milankovitch + ϖ = FT(ϖ_spline(Δt_years)); + γ = FT(γ_spline(Δt_years)); + e = FT(e_spline(Δt_years)); + else + ϖ = FT(lon_perihelion_epoch(param_set)); + γ = FT(obliq_epoch(param_set)); + e = FT(eccentricity_epoch(param_set)); + end + + # true anomaly, radians TA = true_anomaly(MA, e) - # true longitude, radians (3.9) - TL = mod(TA + ϖ, FT(2)*FT(π)) + # true longitude, radians + TL = mod(TA + ϖ, FT(2π)) - # declination, radians (3.16) - δ = mod(asin(sin(γ) * sin(TL)), FT(2)*FT(π)) + # declination, radians + δ = mod(asin(sin(γ) * sin(TL)), FT(2π)) - # earth-sun distance, (3.1) - d = AU * (FT(1) - e^FT(2)) / (FT(1) + e*cos(TA)) + # earth-sun distance + d = d0 * (1 - e^2) / (1 + e*cos(TA)) - # hour angle, zero at local solar noon, radians (3.17) + # hour angle, zero at local solar noon, radians if eot_correction - Δt = equation_of_time(e, MA, γ, ϖ) / 2π * day_length # radians to seconds + Δt = equation_of_time(e, MA, γ, ϖ) / FT(2π) * day_length # radians to seconds else Δt = FT(0) end - η_UTC = mod(FT(2)*FT(π) * FT(time + Δt) / day_length, FT(2)*FT(π)) + time_in_day = FT(mod(datetime2julian(date), 1)) * day_length; # s in this day + η_UTC = mod(FT(2π) * (time_in_day + Δt) / day_length, FT(2π)); return d, δ, η_UTC end @@ -76,36 +75,42 @@ end longitude::FT, latitude::FT, param_set::APS; - eot_correction::Bool=true) where {FT <: Real} + eot_correction::Bool=true, + milankovitch::Bool=true) where {FT <: Real} Returns the zenith angle and earth-sun distance at a particular longitude and latitude on the given date (and time UTC) given orbital parameters: obliquity, longitude of perihelion, and eccentricity param_set is an AbstractParameterSet from CLIMAParameters.jl. -eot_correction is an optional Boolean keyword argument that defaults to true +`eot_correction` is an optional Boolean keyword argument that defaults to true when set to true the equation of time correction is turned on. This switch functionality is implemented for easy comparisons with reanalyses. + +`milankovitch` is an optional Boolean keyword argument that defaults to true +when set to true the orbital parameters are calculated for the given DateTime +when set to false the orbital parameters at the J2000 epoch from CLIMAParameters are used. """ function instantaneous_zenith_angle(date::DateTime, longitude::FT, latitude::FT, param_set::APS; - eot_correction::Bool=true) where {FT <: Real} + eot_correction::Bool=true, + milankovitch::Bool=true) where {FT <: Real} λ = deg2rad(longitude) ϕ = deg2rad(latitude) - d, δ, η_UTC = distance_declination_hourangle(FT, date, param_set, eot_correction) + d, δ, η_UTC = distance_declination_hourangle(FT, date, param_set, eot_correction, milankovitch) # hour angle - η = mod(η_UTC + λ, FT(2)*FT(π)) + η = mod(η_UTC + λ, FT(2π)) - # zenith angle, radians (3.18) - θ = mod(acos(cos(ϕ)*cos(δ)*cos(η) + sin(ϕ)*sin(δ)), FT(2)*FT(π)) + # zenith angle, radians + θ = mod(acos(cos(ϕ)*cos(δ)*cos(η) + sin(ϕ)*sin(δ)), FT(2π)) # solar azimuth angle, ζ = 0 when due E and increasing CCW # ζ = 3π/2 (due S) when η=0 at local solar noon - ζ = mod(FT(1.5)*FT(π) - atan(sin(η), cos(η)*sin(ϕ) - tan(δ)*cos(ϕ)), FT(2)*FT(π)) + ζ = mod(FT(3π/2)- atan(sin(η), cos(η)*sin(ϕ) - tan(δ)*cos(ϕ)), FT(2π)) return θ, ζ, d end @@ -114,36 +119,43 @@ end daily_zenith_angle(date::DateTime, latitude::FT, param_set::APS; - eot_correction::Bool=true) where {FT <: Real} -Returns the daily averaged zenith angle and earth-sun distance -at a particular latitude given the date and orbital parameters -obliquity, longitude of perihelion, and eccentricity -param_set is an AbstractParameterSet from CLIMAParameters.jl. + eot_correction::Bool=true, + milankovitch::Bool=true) where {FT <: Real} -eot_correction is an optional Boolean keyword argument that defaults to true +Returns the effective zenith angle corresponding to the diurnally averaged insolation +and earth-sun distance at a particular latitude given the date. + +`param_set` is an AbstractParameterSet from CLIMAParameters.jl. + +`eot_correction` is an optional Boolean keyword argument that defaults to true when set to true the equation of time correction is turned on. This switch functionality is implemented for easy comparisons with reanalyses. + +`milankovitch` is an optional Boolean keyword argument that defaults to true +when set to true the orbital parameters are calculated for the given DateTime, +when set to false the orbital parameters at the J2000 epoch from CLIMAParameters are used. """ function daily_zenith_angle(date::DateTime, latitude::FT, param_set::APS; - eot_correction::Bool=true) where {FT <: Real} + eot_correction::Bool=true, + milankovitch::Bool=true) where {FT <: Real} ϕ = deg2rad(latitude) - d, δ, _ = distance_declination_hourangle(FT, date, param_set, eot_correction) + d, δ, _ = distance_declination_hourangle(FT, date, param_set, eot_correction, milankovitch) - # sunrise/sunset angle (3.19) + # sunrise/sunset angle T = tan(ϕ) * tan(δ) if T >= FT(1) ηd = FT(π) elseif T <= FT(-1) - ηd = FT(0.0) + ηd = FT(0) else ηd = acos(FT(-1)*T) end - # daily averaged zenith angle (3.20) - daily_θ = mod(acos(FT(1)/FT(π)*(ηd*sin(ϕ)*sin(δ) + cos(ϕ)*cos(δ)*sin(ηd))), FT(2)*FT(π)) + # effective zenith angle to get diurnally averaged insolation (i.e., averaging cosine of zenith angle) + daily_θ = mod(acos(FT(1/π)*(ηd*sin(ϕ)*sin(δ) + cos(ϕ)*cos(δ)*sin(ηd))), FT(2π)) return daily_θ, d end \ No newline at end of file diff --git a/src/data/INSOL.LA2004.BTL.csv b/src/data/INSOL.LA2004.BTL.csv new file mode 100644 index 0000000..7f6fd7d --- /dev/null +++ b/src/data/INSOL.LA2004.BTL.csv @@ -0,0 +1,72002 @@ +# t (kyr from J2000), ecc, obliq (rad), varpi (rad) +-51000.0000000000,0.0096762415,0.4013041649,4.1416254962 +-50999.0000000000,0.0095723289,0.4028702724,4.3896994115 +-50998.0000000000,0.0094842129,0.4044250108,4.6427784806 +-50997.0000000000,0.0094490957,0.4059301444,4.8922804663 +-50996.0000000000,0.0093255439,0.4073546636,5.1370027108 +-50995.0000000000,0.0093587212,0.4086686455,5.3837642931 +-50994.0000000000,0.0093422297,0.4098480275,5.6307587810 +-50993.0000000000,0.0092995017,0.4108720613,5.8735975037 +-50992.0000000000,0.0094056437,0.4117237776,6.1192335965 +-50991.0000000000,0.0094396346,0.4123903276,6.3627354005 +-50990.0000000000,0.0095084148,0.4128622513,6.6118452067 +-50989.0000000000,0.0096328653,0.4131320373,6.8534721555 +-50988.0000000000,0.0097562600,0.4131956504,7.1024241439 +-50987.0000000000,0.0098773792,0.4130530265,7.3550222618 +-50986.0000000000,0.0100527793,0.4127039374,7.5995606066 +-50985.0000000000,0.0101867743,0.4121546091,7.8565853269 +-50984.0000000000,0.0104062304,0.4114122368,8.1112927570 +-50983.0000000000,0.0105349657,0.4104889602,8.3680258092 +-50982.0000000000,0.0107348294,0.4093973624,8.6275485466 +-50981.0000000000,0.0109589707,0.4081583957,8.8921290744 +-50980.0000000000,0.0110803618,0.4067915026,9.1560584733 +-50979.0000000000,0.0112925012,0.4053236789,9.4252605517 +-50978.0000000000,0.0114836549,0.4037823527,9.6926190019 +-50977.0000000000,0.0116097005,0.4022033754,9.9709059408 +-50976.0000000000,0.0117817924,0.4006193819,10.2422088326 +-50975.0000000000,0.0119283788,0.3990721608,10.5206178717 +-50974.0000000000,0.0120379819,0.3976023668,10.8049685148 +-50973.0000000000,0.0121601101,0.3962522714,11.0848211033 +-50972.0000000000,0.0122296055,0.3950641311,11.3691264219 +-50971.0000000000,0.0123582043,0.3940816628,11.6602240767 +-50970.0000000000,0.0123680427,0.3933388954,11.9448630326 +-50969.0000000000,0.0124174589,0.3928717812,12.2360070066 +-50968.0000000000,0.0124686994,0.3927061932,12.5251542117 +-50967.0000000000,0.0124350865,0.3928607021,12.8167237688 +-50966.0000000000,0.0123843600,0.3933464721,13.1078215490 +-50965.0000000000,0.0123847992,0.3941648754,13.3940262894 +-50964.0000000000,0.0122438640,0.3953028976,13.6885544839 +-50963.0000000000,0.0121575770,0.3967429202,13.9748525119 +-50962.0000000000,0.0119947820,0.3984529493,14.2590246501 +-50961.0000000000,0.0118400743,0.4003888294,14.5484458509 +-50960.0000000000,0.0116184468,0.4025049048,14.8306405215 +-50959.0000000000,0.0113654289,0.4047419075,15.1079110966 +-50958.0000000000,0.0111387012,0.4070359773,15.3917945918 +-50957.0000000000,0.0108122962,0.4093253843,15.6630318536 +-50956.0000000000,0.0104881412,0.4115431144,15.9381148762 +-50955.0000000000,0.0101759527,0.4136200176,16.2055868393 +-50954.0000000000,0.0098067098,0.4155004172,16.4704123630 +-50953.0000000000,0.0094107832,0.4171223231,16.7350181003 +-50952.0000000000,0.0090703379,0.4184328238,16.9844520872 +-50951.0000000000,0.0086647176,0.4193902233,17.2392083445 +-50950.0000000000,0.0082894286,0.4199557127,17.4847977168 +-50949.0000000000,0.0079116421,0.4200998926,17.7163704371 +-50948.0000000000,0.0075590040,0.4198129929,17.9484884595 +-50947.0000000000,0.0072465661,0.4190841324,18.1734202031 +-50946.0000000000,0.0068952577,0.4179221720,18.3766490037 +-50945.0000000000,0.0067004557,0.4163503670,18.5870108955 +-50944.0000000000,0.0064880985,0.4143981687,18.7798408530 +-50943.0000000000,0.0063397400,0.4121085608,18.9656601001 +-50942.0000000000,0.0063297200,0.4095438064,19.1512164987 +-50941.0000000000,0.0063894174,0.4067658443,19.3316702452 +-50940.0000000000,0.0064601976,0.4038506214,19.5169419878 +-50939.0000000000,0.0067645810,0.4008845695,19.7052738550 +-50938.0000000000,0.0070317606,0.3979532071,19.9018523662 +-50937.0000000000,0.0074194713,0.3951485891,20.1128212719 +-50936.0000000000,0.0078784060,0.3925622812,20.3267789104 +-50935.0000000000,0.0083868219,0.3902761540,20.5549946080 +-50934.0000000000,0.0089182103,0.3883739375,20.7995282554 +-50933.0000000000,0.0095090021,0.3869220528,21.0395530198 +-50932.0000000000,0.0101113748,0.3859677966,21.2992382125 +-50931.0000000000,0.0107664665,0.3855533956,21.5647609772 +-50930.0000000000,0.0113712465,0.3856946494,21.8297278293 +-50929.0000000000,0.0120689044,0.3863827977,22.1057169999 +-50928.0000000000,0.0127440753,0.3875999568,22.3845940420 +-50927.0000000000,0.0133991151,0.3893047554,22.6633185456 +-50926.0000000000,0.0140971984,0.3914338279,22.9481654629 +-50925.0000000000,0.0148102640,0.3939219086,23.2296705470 +-50924.0000000000,0.0154466984,0.3966852278,23.5185259011 +-50923.0000000000,0.0161634991,0.3996333394,23.8008901481 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+-50906.0000000000,0.0254984248,0.4145300031,28.6251932398 +-50905.0000000000,0.0259290924,0.4122919099,28.9125971739 +-50904.0000000000,0.0262254877,0.4099091986,29.2004156588 +-50903.0000000000,0.0265361918,0.4074396945,29.4890062964 +-50902.0000000000,0.0268984412,0.4049521948,29.7792848369 +-50901.0000000000,0.0271570369,0.4025127175,30.0696836860 +-50900.0000000000,0.0274430903,0.4001783976,30.3634620592 +-50899.0000000000,0.0277280950,0.3980075285,30.6531851560 +-50898.0000000000,0.0279964130,0.3960537676,30.9487879940 +-50897.0000000000,0.0282216582,0.3943561179,31.2423786603 +-50896.0000000000,0.0284764782,0.3929519905,31.5350178450 +-50895.0000000000,0.0286931633,0.3918680776,31.8309082992 +-50894.0000000000,0.0289249854,0.3911176477,32.1249132451 +-50893.0000000000,0.0290760898,0.3907066392,32.4189400438 +-50892.0000000000,0.0293027684,0.3906341203,32.7135875585 +-50891.0000000000,0.0294738132,0.3908823670,33.0070957728 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+20989.0000000000,0.0206909266,0.4028449274,20953.4232241065 +20990.0000000000,0.0213988664,0.4017517408,20953.6912119463 +20991.0000000000,0.0221391872,0.4006008975,20953.9602349352 +20992.0000000000,0.0228179335,0.3994099328,20954.2353849522 +20993.0000000000,0.0235395065,0.3981956856,20954.5122669400 +20994.0000000000,0.0241588634,0.3969764129,20954.7901077129 +20995.0000000000,0.0248463383,0.3957746436,20955.0719582249 +20996.0000000000,0.0254731717,0.3946113071,20955.3562183321 +20997.0000000000,0.0260190595,0.3935109290,20955.6407519156 +20998.0000000000,0.0266326176,0.3924984384,20955.9290009290 +20999.0000000000,0.0271549361,0.3915989481,20956.2169819098 +21000.0000000000,0.0276395263,0.3908344561,20956.5090522556 diff --git a/test/Manifest.toml b/test/Manifest.toml deleted file mode 100644 index 1a2a5b3..0000000 --- a/test/Manifest.toml +++ /dev/null @@ -1,58 +0,0 @@ -# This file is machine-generated - editing it directly is not advised - -[[Base64]] -uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f" - -[[CLIMAParameters]] -deps = ["Test"] -git-tree-sha1 = "d8fc52a3631cc954b5445c7920eda46da650c9e7" -uuid = "6eacf6c3-8458-43b9-ae03-caf5306d3d53" -version = "0.1.11" - -[[Dates]] -deps = ["Printf"] -uuid = "ade2ca70-3891-5945-98fb-dc099432e06a" - -[[InteractiveUtils]] -deps = ["Markdown"] -uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240" - -[[Libdl]] -uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb" - -[[LinearAlgebra]] -deps = ["Libdl"] -uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" - -[[Logging]] -uuid = "56ddb016-857b-54e1-b83d-db4d58db5568" - -[[Markdown]] -deps = ["Base64"] -uuid = "d6f4376e-aef5-505a-96c1-9c027394607a" - -[[Printf]] -deps = ["Unicode"] -uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7" - -[[Random]] -deps = ["Serialization"] -uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" - -[[Serialization]] -uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b" - -[[SparseArrays]] -deps = ["LinearAlgebra", "Random"] -uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" - -[[Statistics]] -deps = ["LinearAlgebra", "SparseArrays"] -uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" - -[[Test]] -deps = ["InteractiveUtils", "Logging", "Random", "Serialization"] -uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40" - -[[Unicode]] -uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5" diff --git a/test/Project.toml b/test/Project.toml index d018c4e..8a1a72b 100644 --- a/test/Project.toml +++ b/test/Project.toml @@ -1,5 +1,5 @@ [deps] -CLIMAParameters = "6eacf6c3-8458-43b9-ae03-caf5306d3d53" -Dates = "ade2ca70-3891-5945-98fb-dc099432e06a" +Optim = "429524aa-4258-5aef-a3af-852621145aeb" +Roots = "f2b01f46-fcfa-551c-844a-d8ac1e96c665" Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40" diff --git a/test/runtests.jl b/test/runtests.jl index b90466f..a0f3a68 100644 --- a/test/runtests.jl +++ b/test/runtests.jl @@ -1,9 +1,50 @@ using Test +push!(LOAD_PATH, joinpath(@__DIR__, "..")) +using Insolation + +using Dates +using Statistics +using Roots +using Optim + +using CLIMAParameters +using CLIMAParameters.Planet +struct EarthParameterSet <: AbstractEarthParameterSet end +const param_set = EarthParameterSet() + +FT = Float32 +@testset "Orbital Params" begin + include("test_orbit_param.jl") +end +@testset "Types" begin + include("test_types.jl") +end @testset "Zenith Angle" begin include("test_zenith_angle.jl") end +@testset "Insolation" begin + include("test_insolation.jl") +end +@testset "Equinox Date" begin + include("test_perihelion.jl") + include("test_equinox.jl") +end +FT = Float64 +@testset "Orbital Params" begin + include("test_orbit_param.jl") +end +@testset "Types" begin + include("test_types.jl") +end +@testset "Zenith Angle" begin + include("test_zenith_angle.jl") +end @testset "Insolation" begin include("test_insolation.jl") -end \ No newline at end of file +end +@testset "Equinox Date" begin + include("test_perihelion.jl") + include("test_equinox.jl") +end diff --git a/test/test_equinox.jl b/test/test_equinox.jl new file mode 100644 index 0000000..09118c9 --- /dev/null +++ b/test/test_equinox.jl @@ -0,0 +1,26 @@ +# Difference in NH and SH zenith angles at time x in given year +function zdiff(x, year) + date = xtomarchdate(x,year) + theta_s, dist = daily_zenith_angle(date, FT(-45), param_set) + theta_n, dist = daily_zenith_angle(date, FT(45), param_set) + return theta_n - theta_s +end + +# x is date relative to March 1, with 1.00 representing March 1 00:00 +function xtomarchdate(x, year) + basedate = Dates.DateTime(year, 3, 1) + deltat = Dates.Second(round((x-1)*Planet.day(param_set))) + return basedate + deltat +end + +days = zeros(length(1900:2100)) +for (i,year) in enumerate(1900:2100) + f = (x -> zdiff(x, year)) + days[i] = find_zeros(f,1.,30)[1] +end + +# test mean is about March 21 +@test mean(days) ≈ 21 atol=1 + +# test decreasing +@test mean(days[:100]) > mean(days[100:end]) diff --git a/test/test_insolation.jl b/test/test_insolation.jl index f578715..5afaf3b 100644 --- a/test/test_insolation.jl +++ b/test/test_insolation.jl @@ -1,58 +1,62 @@ -using Statistics -using Dates -using Insolation - -using CLIMAParameters -using CLIMAParameters.Planet -struct EarthParameterSet <: AbstractEarthParameterSet end -const param_set = EarthParameterSet() - -atol = 1e-6 +atol = 1e-4 rtol = 1e-2 +rtol_insol = 0.1 ## Test zero insolation at night # sunrise at equator date = Dates.DateTime(2020, 1, 1, 6, 0, 0) -lon, lat = [0.0, 0.0] +lon, lat = [FT(0.0), FT(0.0)] sza, azi, d = instantaneous_zenith_angle(date, lon, lat, param_set) F = insolation(sza, d, param_set) @test F ≈ 0.0 atol=atol S, mu = solar_flux_and_cos_sza(date, lon, lat, param_set) -@test S ≈ tot_solar_irrad(param_set) rtol=4e-2 +@test S ≈ tot_solar_irrad(param_set) rtol=rtol_insol @test mu ≈ 0.0 atol=atol # polar night NH 1 date = Dates.DateTime(2020, 12, 20, 11, 0, 0) -lon, lat = [0.0, 80.0] +lon, lat = [FT(0.0), FT(80.0)] sza, azi, d = instantaneous_zenith_angle(date, lon, lat, param_set) F = insolation(sza, d, param_set) @test F ≈ 0.0 atol=atol S, mu = solar_flux_and_cos_sza(date, lon, lat, param_set) -@test S ≈ tot_solar_irrad(param_set) rtol=4e-2 +@test S ≈ tot_solar_irrad(param_set) rtol=rtol_insol @test mu ≈ 0.0 atol=atol # polar night NH 2 date = Dates.DateTime(2020, 12, 20, 23, 0, 0) -lon, lat = [0.0, 80.0] sza, azi, d = instantaneous_zenith_angle(date, lon, lat, param_set) F = insolation(sza, d, param_set) @test F ≈ 0.0 atol=atol S, mu = solar_flux_and_cos_sza(date, lon, lat, param_set) -@test S ≈ tot_solar_irrad(param_set) rtol=4e-2 +@test S ≈ tot_solar_irrad(param_set) rtol=rtol_insol @test mu ≈ 0.0 atol=atol +## Test symmetry of insolation at equinox +nlats = 181 +date = Dates.DateTime(2021, 3, 20, 9, 37, 0) # vernal equinox 2021 +l_arr = FT.(collect(range(-90, stop = 90, length = nlats))) +F_arr = zeros(nlats) +for (i, lat) in enumerate(l_arr) + θ, dist = daily_zenith_angle(date, lat, param_set) + F_arr[i] = insolation(θ, dist, param_set) +end +F_NH = sort(F_arr[l_arr .>= 0]) +F_SH = sort(F_arr[l_arr .<= 0]) +@test F_NH ≈ F_SH rtol=rtol + ## Test globally averaged insolation ≈ TSI -ndays, nlats = [365, 181] +ndays, nlats = [365, 361] d_arr = Array{Int}(round.(collect(range(0, stop = 365, length = ndays)))) -l_arr = collect(range(-90, stop = 90, length = nlats)) +l_arr = FT.(collect(range(-90, stop = 90, length = nlats))) F_arr = zeros(ndays, nlats) for (i, d) in enumerate(d_arr) for (j, lat) in enumerate(l_arr) - datei = Dates.DateTime(2020,1,1) + Dates.Day(d) + datei = Dates.DateTime(2000,1,1) + Dates.Day(d) θ, dist = daily_zenith_angle(datei, lat, param_set) F_arr[i, j] = insolation(θ, dist, param_set) end @@ -63,32 +67,19 @@ area_fac = abs.(cosd.(l_arr)) global_mean_insol = sum(zonal_mean_insol * area_fac) / sum(area_fac) @test global_mean_insol ≈ tot_solar_irrad(param_set) / 4 rtol=rtol -## Test symmetry of insolation at equinox -date = Dates.DateTime(2021,3,20,9,34) -F_arr = zeros(nlats) -for (i, lat) in enumerate(l_arr) - θ, dist = daily_zenith_angle(date, lat, param_set) - F_arr[i] = insolation(θ, dist, param_set) -end -F_NH = sort(F_arr[l_arr .>= 0]) -F_SH = sort(F_arr[l_arr .<= 0]) -@test F_NH ≈ F_SH rtol=rtol - ## Test invariance of zonal-mean insolation under rotation of ϖ -CLIMAParameters.Planet.lon_perihelion(::EarthParameterSet) = lon_perihelion_epoch(param_set) + π - -ndays, nlats = [365, 181] -d_arr = Array{Int}(round.(collect(range(0, stop = 365, length = ndays)))) -l_arr = collect(range(-90, stop = 90, length = nlats)) -F_arr = zeros(ndays, nlats) +ϖ0 = lon_perihelion_epoch(param_set) +CLIMAParameters.Planet.lon_perihelion_epoch(::EarthParameterSet) = ϖ0 + π for (i, d) in enumerate(d_arr) for (j, lat) in enumerate(l_arr) - datei = Dates.DateTime(2020,1,1) + Dates.Day(d) + datei = Dates.DateTime(2000,1,1) + Dates.Day(d) θ, dist = daily_zenith_angle(datei, lat, param_set) F_arr[i, j] = insolation(θ, dist, param_set) end end zonal_mean_insol_rotate = mean(F_arr, dims=1) -@test zonal_mean_insol_rotate ≈ zonal_mean_insol rtol=rtol \ No newline at end of file +@test zonal_mean_insol_rotate ≈ zonal_mean_insol rtol=rtol + +CLIMAParameters.Planet.lon_perihelion_epoch(::EarthParameterSet) = ϖ0 diff --git a/test/test_orbit_param.jl b/test/test_orbit_param.jl new file mode 100644 index 0000000..b03bed4 --- /dev/null +++ b/test/test_orbit_param.jl @@ -0,0 +1,10 @@ +rtol = 1e-2 + +@test mod(Insolation.ϖ_spline(0.0),2π) ≈ mod(lon_perihelion_epoch(param_set),2π) rtol=rtol +@test Insolation.γ_spline(0.0) ≈ obliq_epoch(param_set) rtol=rtol +@test Insolation.e_spline(0.0) ≈ eccentricity_epoch(param_set) rtol=rtol + +ϖ0, γ0, e0 = orbital_params(0.0) +@test mod(ϖ0,2π) ≈ mod(lon_perihelion_epoch(param_set),2π) rtol=rtol +@test γ0 ≈ obliq_epoch(param_set) rtol=rtol +@test e0 ≈ eccentricity_epoch(param_set) rtol=rtol \ No newline at end of file diff --git a/test/test_perihelion.jl b/test/test_perihelion.jl new file mode 100644 index 0000000..51c5ef5 --- /dev/null +++ b/test/test_perihelion.jl @@ -0,0 +1,28 @@ +# x is date relative to Jan 1, with 1.00 representing Jan 1 00:00 +function xtojandate(x, year) + basedate = Dates.DateTime(year, 1, 1) + deltat = Dates.Second(round((x-1)*Planet.day(param_set))) + date = basedate + deltat + return date +end + +# Earth-Sun distance +function edist(x, year) + date = xtojandate(x,year) + _, dist = daily_zenith_angle(date, FT(0), param_set) + return dist/orbit_semimaj(param_set) +end + +years = 1900:2100 +days = zeros(length(years)) +for (i,year) in enumerate(years) + f = (x -> edist(x, year)) + res = optimize(f,1.,30) + days[i] = Optim.minimizer(res)[1] +end + +# test mean is about Jan 3.5 +@test mean(days) ≈ 3.5 atol=1 + +# test increasing +@test mean(days[:100]) < mean(days[100:end]) diff --git a/test/test_types.jl b/test/test_types.jl new file mode 100644 index 0000000..0169c21 --- /dev/null +++ b/test/test_types.jl @@ -0,0 +1,58 @@ +date = Dates.DateTime(2020, 2, 20, 11, 11, 0) +lon, lat = [FT(80.0), FT(20.0)] + +sza, azi, d = instantaneous_zenith_angle( + date, + lon, + lat, + param_set, + eot_correction=false, + milankovitch=false) + +F = insolation(sza, d, param_set) +@test typeof(sza) == FT +@test typeof(azi) == FT +@test typeof(d) == FT +@test typeof(F) == FT + +sza, azi, d = instantaneous_zenith_angle( + date, + lon, + lat, + param_set, + eot_correction=false, + milankovitch=true) + +F = insolation(sza, d, param_set) +@test typeof(sza) == FT +@test typeof(azi) == FT +@test typeof(d) == FT +@test typeof(F) == FT + +sza, azi, d = instantaneous_zenith_angle( + date, + lon, + lat, + param_set, + eot_correction=true, + milankovitch=false) + +F = insolation(sza, d, param_set) +@test typeof(sza) == FT +@test typeof(azi) == FT +@test typeof(d) == FT +@test typeof(F) == FT + +sza, azi, d = instantaneous_zenith_angle( + date, + lon, + lat, + param_set, + eot_correction=true, + milankovitch=true) + +F = insolation(sza, d, param_set) +@test typeof(sza) == FT +@test typeof(azi) == FT +@test typeof(d) == FT +@test typeof(F) == FT diff --git a/test/test_zenith_angle.jl b/test/test_zenith_angle.jl index 956fb1f..c37b9ff 100644 --- a/test/test_zenith_angle.jl +++ b/test/test_zenith_angle.jl @@ -1,21 +1,13 @@ -using Dates -using Insolation - -using CLIMAParameters -using CLIMAParameters.Planet -struct EarthParameterSet <: AbstractEarthParameterSet end -const param_set = EarthParameterSet() - rtol = 1e-2 # sunrise at equator date = Dates.DateTime(2020, 2, 20, 6, 11, 0) -lon, lat = [0.0, 0.0] +lon, lat = [FT(0.0), FT(0.0)] sza, azi, d = instantaneous_zenith_angle(date, lon, lat, param_set) @test sza ≈ π/2 rtol=rtol # solar noon at equator -date = Dates.DateTime(2020, 2, 20, 12, 13, 0) +date = Dates.DateTime(2020, 2, 20, 12, 14, 0) sza, azi, d = instantaneous_zenith_angle(date, lon, lat, param_set) @test azi ≈ 3π/2 rtol=rtol @@ -27,37 +19,33 @@ sza, azi, d = instantaneous_zenith_angle(date, lon, lat, param_set) # solar noon at equator, eot correction = false date = Dates.DateTime(2020, 2, 20, 12, 0, 0) sza, azi, d = instantaneous_zenith_angle(date, lon, lat, param_set; eot_correction=false) -println(sza, azi) @test azi ≈ 3π/2 rtol=rtol # sunset at equator, eot correction = false date = Dates.DateTime(2020, 2, 20, 18, 0, 0) sza, azi, d = instantaneous_zenith_angle(date, lon, lat, param_set; eot_correction=false) -println(sza, azi) @test sza ≈ π/2 rtol=rtol ## Test Polar Night # polar night NH 1 date = Dates.DateTime(2020, 12, 20, 11, 0, 0) -lon, lat = [0.0, 80.0] +lon, lat = [FT(0.0), FT(80.0)] sza, azi, d = instantaneous_zenith_angle(date, lon, lat, param_set) @test sza > π/2 # polar night NH 2 date = Dates.DateTime(2020, 12, 20, 23, 0, 0) -lon, lat = [0.0, 80.0] sza, azi, d = instantaneous_zenith_angle(date, lon, lat, param_set) @test sza > π/2 # polar night SH 1 date = Dates.DateTime(2020, 6, 20, 11, 0, 0) -lon, lat = [0.0, -80.0] +lon, lat = [FT(0.0), FT(-80.0)] sza, azi, d = instantaneous_zenith_angle(date, lon, lat, param_set) @test sza > π/2 # polar night SH 2 date = Dates.DateTime(2020, 6, 20, 23, 0, 0) -lon, lat = [0.0, -80.0] sza, azi, d = instantaneous_zenith_angle(date, lon, lat, param_set) @test sza > π/2