From 89526a70b17dbfa0d8628824d16cb958e933f90c Mon Sep 17 00:00:00 2001 From: Brian Groenke <brian.groenke@awi.de> Date: Wed, 12 May 2021 13:34:53 +0200 Subject: [PATCH] Update README.md --- README.md | 48 ++++++++++++++++-------------- res/Ts_H_tair_freeW_2010-2011.png | Bin 0 -> 141702 bytes res/Ts_H_tair_vg_2010-2011.png | Bin 0 -> 141642 bytes 3 files changed, 25 insertions(+), 23 deletions(-) create mode 100644 res/Ts_H_tair_freeW_2010-2011.png create mode 100644 res/Ts_H_tair_vg_2010-2011.png diff --git a/README.md b/README.md index 14704112..fae34e4b 100755 --- a/README.md +++ b/README.md @@ -9,50 +9,52 @@ Author: Brian Groenke (brian.groenke@awi.de) ### Quick start -```julia -using CryoGrid -using CryoGrid.Models -using Dates -using Plots +Single layer heat conduction model with free water freeze curve and air temperature upper boundary condition: -forcings = loadforcings("input/FORCING_JSONfiles/FORCING_ULC_126_72.json", :Tair => u"°C"); -# use air temperature as upper boundary forcing +```julia +# load provided forcing data from Samoylov; +# The forcing file will be automatically downloaded to the input/ folder if not already present. +forcings = loadforcings(Models.Forcings.Samoylov_ERA_obs_fitted_1979_2014_spinup_extended_2044, :Tair => u"°C"); +# use air temperature (converted to Kelvin) as upper boundary forcing tair = TimeSeriesForcing(ustrip.(u"K", forcings.data.Tair), forcings.timestamps, :Tair); # basic 1-layer heat conduction model (defaults to free water freezing scheme) model = Models.SoilHeat(TemperatureGradient(tair), SamoylovDefault) -# define time span -tspan = (DateTime(2010,1,1),DateTime(2010,12,31)) +# define time span (1 year) +tspan = (DateTime(2010,10,30),DateTime(2011,10,30)) # CryoGrid front-end for ODEProblem prob = CryoGridProblem(model,tspan) # solve discretized system, saving every 6 hours; -# ROS3P is a third order Rosenbrock solver that should work well without a freeze curve. -out = @time solve(prob, ROS3P(), abstol=1e-2, saveat=6*3600.0) |> CryoGridOutput; -zs = [1:10...,20:10:100...] -cg = Plots.cgrad(:berlin,rev=true) -plot(out.soil.T[Z(zs)], color=cg[LinRange(0.0,1.0,length(zs))]', ylabel="Temperature", leg=false, dpi=150) +# Trapezoid on a discretized PDE is analogous to the well known Crank-Nicolson method. +out = @time solve(prob, Trapezoid(), abstol=1e-3, reltol=1e-4, saveat=6*3600.0, progress=true) |> CryoGridOutput; +zs = [1.0,5,10,20,30,50,100,500,1000]u"cm" +cg = Plots.cgrad(:copper,rev=true) +plot(out.soil.T[Z(Near(zs))], color=cg[LinRange(0.0,1.0,length(zs))]', ylabel="Temperature", leg=false, dpi=150) +``` + -# Alternatively, we can use a van Genuchten freeze curve +Alternatively, we can use a van Genuchten freeze curve: + +```julia model = Models.SoilHeat(TemperatureGradient(tair), SamoylovDefault, freezecurve=SFCC(VanGenuchten())) # Set-up parameters p = copy(model.pproto) p.soil.α .= 4.0 p.soil.n .= 2.0 p.soil.Tₘ .= 273.15 -tspan = (DateTime(2010,1,1),DateTime(2010,12,31)) +tspan = (DateTime(2010,10,30),DateTime(2011,10,30)) prob = CryoGridProblem(model,tspan,p) # stiff solvers don't work well with van Genuchten due to the ill-conditioned Jacobian; -# Thus, we use forward Euler instead -out = @time solve(prob, Euler(), dt=2*60.0, saveat=6*3600.0) |> CryoGridOutput; -zs = [1:10...,20:10:100...] -cg = Plots.cgrad(:berlin,rev=true) -plot(out.soil.T[Z(zs)], color=cg[LinRange(0.0,1.0,length(zs))]', ylabel="Temperature", leg=false, dpi=150) +# We can just forward Euler instead. +out = @time solve(prob, Euler(), dt=120.0, saveat=6*3600.0, progress=true) |> CryoGridOutput; +plot(out.soil.T[Z(Near(zs))], color=cg[LinRange(0.0,1.0,length(zs))]', ylabel="Temperature", leg=false, dpi=150) ``` + Note that `SoilHeat` uses energy as the state variable by default. To use temperature as the state variable instead: ```julia # Note that this will work with any freeze curve, here we use Westermann (2011). -# u"K" is the unit (Kelvin) for temperature, u"J" (Joules) represents energy. +# :T is the variable name for temperature, :H represents enthalpy/energy. # This is used in the specification of the Heat process type. -model = Models.SoilHeat(u"K", TemperatureGradient(tair), SamoylovDefault, freezecurve=SFCC(Westermann())) +model = Models.SoilHeat(:T, TemperatureGradient(tair), SamoylovDefault, freezecurve=SFCC(Westermann())) ``` diff --git a/res/Ts_H_tair_freeW_2010-2011.png b/res/Ts_H_tair_freeW_2010-2011.png new file mode 100644 index 0000000000000000000000000000000000000000..ec28c619c8c568b3716d8bec46e34dbf0d930dc2 GIT binary patch literal 141702 zcmcF~Wl&sOu<piPf&~c@T!Tw+cXtWyPLL4XEkJOB2X}%)fZ*;hxI@svgFA0HIp@~> z{pvlKDr)wu#op7a<?HURBa{`T(2xm{0RTXgkrr140GMC^fYwHYhFqyHYL9~afj5zp z5(l1NezRMP5&(b<kP#PA|D18y>XAsS<#TesqTyC}Jmu2p8M_$Ish!-<QypDoM0C&l 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