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‎dev/.documenter-siteinfo.json

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{"documenter":{"julia_version":"1.10.1","generation_timestamp":"2024-02-28T15:26:52","documenter_version":"1.2.1"}}

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‎dev/Clausius_Clapeyron.jl

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import ForwardDiff
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import ClimaParams as CP
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import Thermodynamics as TD
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using Thermodynamics.TestedProfiles
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import Thermodynamics.Parameters as TP
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ArrayType = Array{Float64}
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FT = eltype(ArrayType)
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param_set = TP.ThermodynamicsParameters(FT)
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profiles = TestedProfiles.PhaseEquilProfiles(param_set, ArrayType)
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(; T, p, e_int, ρ, θ_liq_ice, phase_type) = profiles
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(; q_tot, q_liq, q_ice, q_pt, RH, e_kin, e_pot) = profiles
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k = findfirst(q -> q > 0.01, q_tot) # test for one value with q_tot above some threshhold
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ts_sol = TD.PhaseEquil_ρTq(param_set, ρ[k], T[k], q_tot[k])
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function q_vap_sat(_T::FT) where {FT}
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_ρ = TD.air_density(param_set, ts_sol)
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_q_tot = TD.total_specific_humidity(param_set, ts_sol)
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_phase_type = TD.PhaseEquil{FT}
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_q_pt = TD.PhasePartition_equil(
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param_set,
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_T,
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oftype(_T, _ρ),
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oftype(_T, _q_tot),
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_phase_type,
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)
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return TD.q_vap_saturation(
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param_set,
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_T,
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oftype(_T, _ρ),
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_phase_type,
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_q_pt,
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)
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end
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function ∂q_vap_sat_∂T_vs_T(_T::FT) where {FT}
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_ρ = TD.air_density(param_set, ts_sol)
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_q_tot = TD.total_specific_humidity(param_set, ts_sol)
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_λ = TD.liquid_fraction(param_set, ts_sol)
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_phase_type = TD.PhaseEquil{FT}
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_q_pt = TD.PhasePartition_equil(
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param_set,
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_T,
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oftype(_T, _ρ),
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oftype(_T, _q_tot),
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_phase_type,
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)
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_q_vap_sat = TD.q_vap_saturation(param_set, _T, _ρ, _phase_type, _q_pt)
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return TD.∂q_vap_sat_∂T(
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param_set,
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oftype(_T, _λ),
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_T,
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oftype(_T, _q_vap_sat),
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)
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end
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∂q_vap_sat_∂T_fd = _T -> ForwardDiff.derivative(q_vap_sat, _T)
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_ρ = TD.air_density(param_set, ts_sol)
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_q_tot = TD.total_specific_humidity(param_set, ts_sol)
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T_sorted = sort(T)
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import Plots
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p1 = Plots.plot()
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Plots.plot!(
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T_sorted,
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∂q_vap_sat_∂T_fd.(T_sorted);
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label = "∂qvsat_∂T ForwardDiff",
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yaxis = :log,
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)
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Plots.plot!(
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T_sorted,
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∂q_vap_sat_∂T_vs_T.(T_sorted);
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label = "∂qvsat_∂T Analytic",
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yaxis = :log,
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)
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Plots.plot!(; xlabel = "T [K]", legend = :topleft)
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p2 = Plots.plot()
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Plots.plot!(
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T_sorted,
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∂q_vap_sat_∂T_fd.(T_sorted) .- ∂q_vap_sat_∂T_vs_T.(T_sorted);
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label = "error",
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)
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Plots.plot!(; xlabel = "T [K]", legend = :topleft)
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p3 = Plots.plot()
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Plots.plot!(T_sorted, q_vap_sat.(T_sorted); label = "q_vap_sat")
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Plots.plot!(; xlabel = "T [K]")
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ρq_vals = "ρ=$_ρ, q_tot=$_q_tot"
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Plots.plot(
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p1,
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p2,
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p3;
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layout = Plots.grid(3, 1),
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plot_title = "$ρq_vals",
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titlefontsizes = 5,
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)
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Plots.savefig("Clausius_Clapeyron.svg")

‎dev/Clausius_Clapeyron.svg

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‎dev/Clausius_Clapeyron/index.html

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<!DOCTYPE html>
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<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Clausius Clapeyron relation · Thermodynamics.jl</title><meta name="title" content="Clausius Clapeyron relation · Thermodynamics.jl"/><meta property="og:title" content="Clausius Clapeyron relation · Thermodynamics.jl"/><meta property="twitter:title" content="Clausius Clapeyron relation · Thermodynamics.jl"/><meta name="description" content="Documentation for Thermodynamics.jl."/><meta property="og:description" content="Documentation for Thermodynamics.jl."/><meta property="twitter:description" content="Documentation for Thermodynamics.jl."/><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.050/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../assets/documenter.js"></script><script src="../search_index.js"></script><script src="../siteinfo.js"></script><script src="../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../"><img src="../assets/logo.svg" alt="Thermodynamics.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../">Thermodynamics.jl</a></span></div><button class="docs-search-query input is-rounded is-small is-clickable my-2 mx-auto py-1 px-2" id="documenter-search-query">Search docs (Ctrl + /)</button><ul class="docs-menu"><li><a class="tocitem" href="../">Home</a></li><li><a class="tocitem" href="../Installation/">Installation</a></li><li><a class="tocitem" href="../API/">API</a></li><li><a class="tocitem" href="../HowToGuide/">How-to-guide</a></li><li><a class="tocitem" href="../TestedProfiles/">Tested profiles</a></li><li><a class="tocitem" href="../TemperatureProfiles/">Temperature profiles</a></li><li><a class="tocitem" href="../DevDocs/">Developer docs</a></li><li class="is-active"><a class="tocitem" href>Clausius Clapeyron relation</a></li><li><a class="tocitem" href="../Formulation/">Thermodynamics overview</a></li><li><a class="tocitem" href="../References/">References</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><a class="docs-sidebar-button docs-navbar-link fa-solid fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Clausius Clapeyron relation</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Clausius Clapeyron relation</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/CliMA/Thermodynamics.jl" title="View the repository on GitHub"><span class="docs-icon fa-brands"></span><span class="docs-label is-hidden-touch">GitHub</span></a><a class="docs-navbar-link" href="https://github.com/CliMA/Thermodynamics.jl/blob/main/docs/src/Clausius_Clapeyron.md" title="Edit source on GitHub"><span class="docs-icon fa-solid"></span></a><a class="docs-settings-button docs-navbar-link fa-solid fa-gear" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-article-toggle-button fa-solid fa-chevron-up" id="documenter-article-toggle-button" href="javascript:;" title="Collapse all docstrings"></a></div></header><article class="content" id="documenter-page"><h1 id="Clausius-Clapeyron-relation"><a class="docs-heading-anchor" href="#Clausius-Clapeyron-relation">Clausius Clapeyron relation</a><a id="Clausius-Clapeyron-relation-1"></a><a class="docs-heading-anchor-permalink" href="#Clausius-Clapeyron-relation" title="Permalink"></a></h1><p>This script plots the Clausius Clapeyron relation for a range of temperatures. The analytically derived expression is compared with a solution computed using ForwardDiff.jl.</p><div class="admonition is-category-warn"><header class="admonition-header">Warn</header><div class="admonition-body"><p>This script is decoupled from the implementation in the test suite, and should be unified to ensure that tests and plots stay.</p></div></div><pre><code class="language-julia hljs">include(&quot;Clausius_Clapeyron.jl&quot;)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">&quot;/home/runner/work/Thermodynamics.jl/Thermodynamics.jl/docs/build/Clausius_Clapeyron.svg&quot;</code></pre><p><img src="../Clausius_Clapeyron.svg" alt/></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../DevDocs/">« Developer docs</a><a class="docs-footer-nextpage" href="../Formulation/">Thermodynamics overview »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Wednesday 28 February 2024 15:26">Wednesday 28 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

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