### A Pluto.jl notebook ### # v0.19.37 using Markdown using InteractiveUtils # ╔═╡ 4fc7fda6-423b-48ea-8f86-6718a9050ee0 begin import Pkg as _Pkg # hide haskey(ENV,"PLUTO_PROJECT") && _Pkg.activate(ENV["PLUTO_PROJECT"]) # hide using Revise # hide using PlutoUI,HypertextLiteral,UUIDs, Markdown using LinearAlgebra using LessUnitful using VoronoiFVM using LiquidElectrolytes using ExtendableGrids using LessUnitful using GridVisualize if isdefined(Main,:PlutoRunner) using Colors using CairoMakie default_plotter!(CairoMakie) CairoMakie.activate!(type="svg") end end; # ╔═╡ 9391dc5a-9249-4719-9347-98c95c80499d md""" # DLCap.jl Comparison of equilibrium results for different flux and equilibrium implementations [Pluto source](https://raw.githubusercontent.com/j-fu/LiquidElectrolytes.jl/main/notebooks/DLCap.jl) """ # ╔═╡ e04f6d4c-144c-4de2-83b4-11190ad0b07d TableOfContents(aside=false) # ╔═╡ f5c18bb8-70d5-4cb4-88c8-4333d539d08e pkgdir(LiquidElectrolytes) # ╔═╡ 8c4a3420-191d-41e5-abbb-a50f2e16cd1c begin const nm=ufac"nm" const V=ufac"V" const mol=ufac"mol" const dm=ufac"dm" end; # ╔═╡ a5193642-e9fc-4b80-a9eb-84f5e1795008 begin const molarity=0.01 const voltages=-1:0.01:1 const nref=1 const solvation=10 celldata = ElectrolyteData(; nc = 2, Γ_we = 1, Γ_bulk = 2) celldata.c_bulk.=molarity * mol / dm^3 celldata.κ.=solvation celldata end # ╔═╡ 4a07ae69-5db0-4868-a0b1-ee4b22e95eb6 grid = let hmin = 1.0e-1 * nm * 2.0^(-nref) hmax = 1.0 * nm * 2.0^(-nref) L = 20.0 * nm X = geomspace(0, L, hmin, hmax) simplexgrid(X) end # ╔═╡ 229ae84b-fcff-4767-b03b-c17b465de57d gridplot(grid,size=(600,200)) # ╔═╡ 375af0c8-b008-4f8a-9cfb-ba10f2c2787b ## Define boundary conditions function bcondition(f,u,bnode,data) (;Γ_we,Γ_bulk,ϕ_we) = data iϕ,ip=1,2 ## Dirichlet ϕ=ϕ_we at Γ_we boundary_dirichlet!(f,u,bnode,species=iϕ,region=Γ_we,value=ϕ_we) boundary_dirichlet!(f,u,bnode,species=iϕ,region=Γ_bulk,value=data.ϕ_bulk) boundary_dirichlet!(f,u,bnode,species=ip,region=Γ_bulk,value=data.p_bulk) end # ╔═╡ 0ba45da2-b5e7-4eb9-ab37-2bcfbe1307f4 pbsys=PBSystem(grid;celldata=deepcopy(celldata),bcondition) # ╔═╡ 2ad3f1ad-3bc9-4ced-a9d8-11c770f9710f result=dlcapsweep(pbsys;inival=unknowns(pbsys),iϕ=1,voltages,molarity=molarity*ufac"mol/dm^3") # ╔═╡ 6b0adcfd-a279-4b58-b029-db07fca60b0f begin ecell=create_equilibrium_system(grid,EquilibriumData(celldata)) evolts,ecaps=dlcapsweep_equi(ecell;vmax=voltages[end],molarity,δV=1.0e-4,nsteps=101) end; # ╔═╡ f57cb1f9-3505-45e1-9524-ba37af47637b function pnpsweep(scheme) function pnp_bcondition(f,u,bnode,data::ElectrolyteData) (; iϕ,Γ_we,ϕ_we) = data boundary_dirichlet!(f,u,bnode,species=iϕ,region=Γ_we,value=ϕ_we) bulkbcondition(f,u,bnode,data) end xcelldata=deepcopy(celldata) xcelldata.scheme=scheme μcell=PNPSystem(grid;bcondition=pnp_bcondition,celldata=xcelldata) μresult=dlcapsweep(μcell;voltages,molarity=molarity*ufac"mol/dm^3",δ=1.0e-4) end; # ╔═╡ 8e182773-b012-446f-b676-39d96e2ea424 μresult=pnpsweep(:μex) # ╔═╡ 284acfe8-5c67-4704-b055-78f1acba4d76 aresult=pnpsweep(:act) # ╔═╡ aaa16bc5-a00d-4172-a91c-04f72a653938 cresult=pnpsweep(:cent) # ╔═╡ 0ce644b5-4375-4157-8075-c1beac3cb789 myround(x)=round(x,sigdigits=5) # ╔═╡ ab9fa489-e718-4b2c-8689-cb627fd30593 typeof(md""" abc""")|>supertype # ╔═╡ 7a93e9a8-8a2d-4b11-84ef-691706c0eb0f begin hrule()=html"""
$(mdstring)""" macro important_str(s) :(highlight(Markdown.parse($s),"#ffcccc")) end macro definition_str(s) :(highlight(Markdown.parse($s),"#ccccff")) end macro statement_str(s) :(highlight(Markdown.parse($s),"#ccffcc")) end html""" """ end # ╔═╡ 5beb3a0d-e57a-4aea-b7a0-59b8ce9ff5ce hrule() # ╔═╡ b3b4a9bb-022e-4cd4-8547-b1b3d6176af2 begin function floataside(text::Markdown.MD;top=1) uuid=uuid1() @htl(""" """) end floataside(stuff;kwargs...)=floataside(md"""$(stuff)""";kwargs...) end # ╔═╡ 222b34e1-8d3c-4143-8826-7b522c19e23c floataside(let vis=GridVisualizer(size=(350,200),legend=:rt) scalarplot!(vis,result.voltages,result.dlcaps,color=:red,label="pb") scalarplot!(vis,evolts,ecaps,color=:green,label="equi",clear=false) scalarplot!(vis,μresult.voltages,μresult.dlcaps,color=:blue,label="μpnp",clear=false) scalarplot!(vis,μresult.voltages,aresult.dlcaps,color=:magenta,label="apnp",clear=false) scalarplot!(vis,cresult.voltages,cresult.dlcaps,color=:cyan,label="cpnp",clear=false) reveal(vis) end, top=200) # ╔═╡ 948b0ebb-87ee-4c1e-b854-cb13db390934 let pb0=findfirst(x->x≈0,result.voltages) equi0=findfirst(x->x≈0, evolts) pnp0=findfirst(x->x≈0, μresult.voltages) floataside( md""" DLcap0: $(dlcap0(celldata)|>myround), $(dlcap0(EquilibriumData(celldata))|>myround) DLCapMin(pb,equi,pnp): $(result.dlcaps[pb0]|>myround,ecaps[equi0]|>myround,μresult.dlcaps[pnp0]|>myround)) """, top=450 ) end # ╔═╡ 00000000-0000-0000-0000-000000000001 PLUTO_PROJECT_TOML_CONTENTS = """ [deps] CairoMakie = "13f3f980-e62b-5c42-98c6-ff1f3baf88f0" Colors = "5ae59095-9a9b-59fe-a467-6f913c188581" ExtendableGrids = "cfc395e8-590f-11e8-1f13-43a2532b2fa8" GridVisualize = "5eed8a63-0fb0-45eb-886d-8d5a387d12b8" HypertextLiteral = "ac1192a8-f4b3-4bfe-ba22-af5b92cd3ab2" LessUnitful = "f29f6376-6e90-4d80-80c9-fb8ec61203d5" LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" LiquidElectrolytes = "5a7dfd8c-b3af-4c8d-a082-d3a774d75e72" Markdown = "d6f4376e-aef5-505a-96c1-9c027394607a" Pkg = 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"93284c28274d9e75218a416c65ec49d0e0fcdf3d" uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f" version = "1.6.40+0" [[deps.libsixel_jll]] deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Pkg", "libpng_jll"] git-tree-sha1 = "d4f63314c8aa1e48cd22aa0c17ed76cd1ae48c3c" uuid = "075b6546-f08a-558a-be8f-8157d0f608a5" version = "1.10.3+0" [[deps.libvorbis_jll]] deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"] git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c" uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a" version = "1.3.7+1" [[deps.nghttp2_jll]] deps = ["Artifacts", "Libdl"] uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" version = "1.52.0+1" [[deps.p7zip_jll]] deps = ["Artifacts", "Libdl"] uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" version = "17.4.0+0" [[deps.x264_jll]] deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2" uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a" version = "2021.5.5+0" [[deps.x265_jll]] deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9" uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76" version = "3.5.0+0" """ # ╔═╡ Cell order: # ╠═4fc7fda6-423b-48ea-8f86-6718a9050ee0 # ╟─9391dc5a-9249-4719-9347-98c95c80499d # ╟─e04f6d4c-144c-4de2-83b4-11190ad0b07d # ╠═f5c18bb8-70d5-4cb4-88c8-4333d539d08e # ╠═8c4a3420-191d-41e5-abbb-a50f2e16cd1c # ╠═4a07ae69-5db0-4868-a0b1-ee4b22e95eb6 # ╠═229ae84b-fcff-4767-b03b-c17b465de57d # ╠═a5193642-e9fc-4b80-a9eb-84f5e1795008 # ╠═375af0c8-b008-4f8a-9cfb-ba10f2c2787b # ╠═0ba45da2-b5e7-4eb9-ab37-2bcfbe1307f4 # ╠═2ad3f1ad-3bc9-4ced-a9d8-11c770f9710f # ╠═6b0adcfd-a279-4b58-b029-db07fca60b0f # ╠═f57cb1f9-3505-45e1-9524-ba37af47637b # ╠═8e182773-b012-446f-b676-39d96e2ea424 # ╠═284acfe8-5c67-4704-b055-78f1acba4d76 # ╠═aaa16bc5-a00d-4172-a91c-04f72a653938 # ╠═0ce644b5-4375-4157-8075-c1beac3cb789 # ╠═222b34e1-8d3c-4143-8826-7b522c19e23c # ╠═948b0ebb-87ee-4c1e-b854-cb13db390934 # ╟─5beb3a0d-e57a-4aea-b7a0-59b8ce9ff5ce # ╟─ab9fa489-e718-4b2c-8689-cb627fd30593 # ╟─7a93e9a8-8a2d-4b11-84ef-691706c0eb0f # ╟─b3b4a9bb-022e-4cd4-8547-b1b3d6176af2 # ╟─00000000-0000-0000-0000-000000000001 # ╟─00000000-0000-0000-0000-000000000002