CliMA
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+{"documenter":{"julia_version":"1.10.5","generation_timestamp":"2024-10-04T17:22:09","documenter_version":"1.7.0"}}
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+import ForwardDiff
+import ClimaParams as CP
+
+import Thermodynamics as TD
+using Thermodynamics.TestedProfiles
+import Thermodynamics.Parameters as TP
+
+ArrayType = Array{Float64}
+FT = eltype(ArrayType)
+
+param_set = TP.ThermodynamicsParameters(FT)
+profiles = TestedProfiles.PhaseEquilProfiles(param_set, ArrayType)
+(; T, p, e_int, ρ, θ_liq_ice, phase_type) = profiles
+(; q_tot, q_liq, q_ice, q_pt, RH, e_kin, e_pot) = profiles
+
+k = findfirst(q -> q > 0.01, q_tot) # test for one value with q_tot above some threshhold
+ts_sol = TD.PhaseEquil_ρTq(param_set, ρ[k], T[k], q_tot[k])
+
+function q_vap_sat(_T::FT) where {FT}
+    _ρ = TD.air_density(param_set, ts_sol)
+    _q_tot = TD.total_specific_humidity(param_set, ts_sol)
+    _phase_type = TD.PhaseEquil{FT}
+    _q_pt = TD.PhasePartition_equil(
+        param_set,
+        _T,
+        oftype(_T, _ρ),
+        oftype(_T, _q_tot),
+        _phase_type,
+    )
+    return TD.q_vap_saturation(
+        param_set,
+        _T,
+        oftype(_T, _ρ),
+        _phase_type,
+        _q_pt,
+    )
+end
+
+function ∂q_vap_sat_∂T_vs_T(_T::FT) where {FT}
+    _ρ = TD.air_density(param_set, ts_sol)
+    _q_tot = TD.total_specific_humidity(param_set, ts_sol)
+    _λ = TD.liquid_fraction(param_set, ts_sol)
+    _phase_type = TD.PhaseEquil{FT}
+    _q_pt = TD.PhasePartition_equil(
+        param_set,
+        _T,
+        oftype(_T, _ρ),
+        oftype(_T, _q_tot),
+        _phase_type,
+    )
+    _q_vap_sat = TD.q_vap_saturation(param_set, _T, _ρ, _phase_type, _q_pt)
+    return TD.∂q_vap_sat_∂T(
+        param_set,
+        oftype(_T, _λ),
+        _T,
+        oftype(_T, _q_vap_sat),
+    )
+end
+
+∂q_vap_sat_∂T_fd = _T -> ForwardDiff.derivative(q_vap_sat, _T)
+
+_ρ = TD.air_density(param_set, ts_sol)
+_q_tot = TD.total_specific_humidity(param_set, ts_sol)
+
+T_sorted = sort(T)
+import Plots
+p1 = Plots.plot()
+Plots.plot!(
+    T_sorted,
+    ∂q_vap_sat_∂T_fd.(T_sorted);
+    label = "∂qvsat_∂T ForwardDiff",
+    yaxis = :log,
+)
+Plots.plot!(
+    T_sorted,
+    ∂q_vap_sat_∂T_vs_T.(T_sorted);
+    label = "∂qvsat_∂T Analytic",
+    yaxis = :log,
+)
+Plots.plot!(; xlabel = "T [K]", legend = :topleft)
+
+p2 = Plots.plot()
+Plots.plot!(
+    T_sorted,
+    ∂q_vap_sat_∂T_fd.(T_sorted) .- ∂q_vap_sat_∂T_vs_T.(T_sorted);
+    label = "error",
+)
+Plots.plot!(; xlabel = "T [K]", legend = :topleft)
+
+p3 = Plots.plot()
+Plots.plot!(T_sorted, q_vap_sat.(T_sorted); label = "q_vap_sat")
+Plots.plot!(; xlabel = "T [K]")
+ρq_vals = "ρ=$_ρ, q_tot=$_q_tot"
+Plots.plot(
+    p1,
+    p2,
+    p3;
+    layout = Plots.grid(3, 1),
+    plot_title = "$ρq_vals",
+    titlefontsizes = 5,
+)
+
+Plots.savefig("Clausius_Clapeyron.svg")
@@ -0,0 +1,2 @@
+<!DOCTYPE html>
+<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 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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><input class="collapse-toggle" id="menuitem-5" type="checkbox"/><label class="tocitem" for="menuitem-5"><span class="docs-label">Examples</span><i class="docs-chevron"></i></label><ul class="collapsed"><li><a class="tocitem" href="../literated/density_from_temperature_pressure_humidity/">Density from temperature, pressure, and humidity</a></li></ul></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="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Friday 4 October 2024 17:22">Friday 4 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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	`1`	`+<!DOCTYPE html>`
	`2`	+<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 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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><input class="collapse-toggle" id="menuitem-5" type="checkbox"/><label class="tocitem" for="menuitem-5"><span class="docs-label">Examples</span><i class="docs-chevron"></i></label><ul class="collapsed"><li><a class="tocitem" href="../literated/density_from_temperature_pressure_humidity/">Density from temperature, pressure, and humidity</a></li></ul></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("Clausius_Clapeyron.jl")</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">"/home/runner/work/Thermodynamics.jl/Thermodynamics.jl/docs/build/Clausius_Clapeyron.svg"</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="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Friday 4 October 2024 17:22">Friday 4 October 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>