From 1c0fc59e606e0e65f33367efce26428d54e208ee Mon Sep 17 00:00:00 2001 From: Marshall Styczinski Date: Fri, 4 Dec 2020 17:47:23 -0800 Subject: [PATCH] Fixed plot label color for 1.1 release --- .../MagResponseParamSpaceJupiter.m | 44 ++- PlanetProfile.m | 8 + .../SeaFreeze/Matlab/Example_SeaFreeze.mlx | Bin 372549 -> 0 bytes Thermodynamics/SeaFreeze/Matlab/OpenGval.m | 286 ----------------- Thermodynamics/SeaFreeze/Matlab/README.md | 206 ------------- .../SeaFreeze/Matlab/SF_WhichPhase.m | 39 --- Thermodynamics/SeaFreeze/Matlab/SeaFreeze.m | 149 --------- .../SeaFreeze/Matlab/SeaFreeze_Gibbs.mat | Bin 1346046 -> 0 bytes Thermodynamics/SeaFreeze/Matlab/fnGval.m | 287 ------------------ Thermodynamics/SeaFreeze/Matlab/sp_val.m | 259 ---------------- Thermodynamics/SeaFreeze/README_PP.md | 3 + Thermodynamics/SeaFreeze/checkSeaFreeze.m | 54 ++++ makefile | 2 +- 13 files changed, 83 insertions(+), 1254 deletions(-) delete mode 100644 Thermodynamics/SeaFreeze/Matlab/Example_SeaFreeze.mlx delete mode 100644 Thermodynamics/SeaFreeze/Matlab/OpenGval.m delete mode 100644 Thermodynamics/SeaFreeze/Matlab/README.md delete mode 100644 Thermodynamics/SeaFreeze/Matlab/SF_WhichPhase.m delete mode 100644 Thermodynamics/SeaFreeze/Matlab/SeaFreeze.m delete mode 100644 Thermodynamics/SeaFreeze/Matlab/SeaFreeze_Gibbs.mat delete mode 100644 Thermodynamics/SeaFreeze/Matlab/fnGval.m delete mode 100644 Thermodynamics/SeaFreeze/Matlab/sp_val.m create mode 100644 Thermodynamics/SeaFreeze/README_PP.md create mode 100644 Thermodynamics/SeaFreeze/checkSeaFreeze.m diff --git a/MagneticInduction/MagResponseParamSpaceJupiter.m b/MagneticInduction/MagResponseParamSpaceJupiter.m index 5247aae6..83f05cc0 100644 --- a/MagneticInduction/MagResponseParamSpaceJupiter.m +++ b/MagneticInduction/MagResponseParamSpaceJupiter.m @@ -3,7 +3,7 @@ CALC_NEW = 0; PLOT_CONTOURS = 1; % Set to 0 for surfaces DO_LEGEND = 1; -PLOT_V2020s = 0; +PLOT_V2020s = 1; DO_EUROPA = 1; DO_GANYMEDE = 1; @@ -107,9 +107,9 @@ clines = {':','-','-.'}; V2020.km = [442 276 458 282]; - V2020.Sm = [0.3890 0.2623 3.1150 1.9483]; - V2020.MFCs = {'none','none','b','m'}; - V2020.MECs = {'b','m','k','k'}; + V2020.Sm = [0.5166 0.3322 4.0699 2.3476]; + V2020.MFCs = {'none','none','m','b'}; + V2020.MECs = {'m','b','k','k'}; V2020.symbols = '^v^v'; end @@ -149,8 +149,8 @@ V2020.km = [132 21 130 21]; V2020.Sm = [0.2307 0.0895 1.5256 0.6025]; - V2020.MFCs = {'none','none','b','m'}; - V2020.MECs = {'b','m','k','k'}; + V2020.MFCs = {'none','none','m','b'}; + V2020.MECs = {'m','b','k','k'}; V2020.symbols = '^v^v'; end @@ -178,28 +178,12 @@ phi(ik,io,:) = -angle(Q(ik,io,:))*180/pi; end end - save(fullfile([fname 'Dice' num2str(D_ice_km) 'km'])); + save(fullfile([fname 'Dice' num2str(D_ice_km) 'km']), 'klims', 'Dlims', 'k_Sm', 'D_ocean_km', 'amp', 'phi', 'lw'); else - sv_opt = [PLOT_CONTOURS, DO_LEGEND, DO_EUROPA, DO_GANYMEDE, DO_CALLISTO]; - ibsv = ibody; - als = alevels; - pls = plevels; - - - load(fullfile([fname 'Dice' num2str(D_ice_km) 'km'])); - - CALC_NEW = 0; - ibody = ibsv; - alevels = als; - plevels = pls; - PLOT_CONTOURS = sv_opt(1); - DO_LEGEND = sv_opt(2); - DO_EUROPA = sv_opt(3); - DO_GANYMEDE = sv_opt(4); - DO_CALLISTO = sv_opt(5); + load(fullfile([fname 'Dice' num2str(D_ice_km) 'km']), 'klims', 'Dlims', 'k_Sm', 'D_ocean_km', 'amp', 'phi', 'lw'); end - intMethod = 'makina'; + intMethod = 'makima'; figno = 111+ibody; figure(figno);clf @@ -254,10 +238,16 @@ % Create legend if DO_LEGEND lstr = strings(1,lw); + Hlines = gobjects(1,lw); for in = 1:lw lstr(in) = ['\begin{tabular}{p{6mm}r}' num2str(Periods_hr(in),'%0.2f') '&hr\end{tabular}']; + % The following line is a workaround to get Matlab to print + % straight lines in the legend instead of ellipses for + % contours. + Hlines(in) = line([NaN,NaN],[1,1],'Color',ccolors(in,:), 'Linestyle',clines{in}, 'Linewidth',LW(in)); end - hl = legend(H,lstr,'FontSize',20); + + hl = legend(Hlines,lstr,'FontSize',20); hl.Interpreter = 'latex'; hl.Location = 'northeast'; hl.FontWeight = 'bold'; @@ -276,7 +266,7 @@ if PLOT_V2020s str2020 = '_WithV2020Models'; end - saveas(gcf,fullfile([lname '/' 'MagPhase' lname str2020 '.eps']),'epsc') + saveas(gcf,fullfile([lname '/figures/MagPhase' lname str2020 '.eps']),'epsc') end end diff --git a/PlanetProfile.m b/PlanetProfile.m index 0f34efd4..26fe115f 100755 --- a/PlanetProfile.m +++ b/PlanetProfile.m @@ -13,6 +13,14 @@ function PlanetProfile(Planet,Seismic,Params) % Geophysical investigations of habitability in ice-covered ocean worlds. % Journal of Geophysical Research: Planets, Nov 2018. +vernum = '1.1.1'; +disp(['PlanetProfile version ' vernum]) +% Check SeaFreeze compatibility and presence on path +% This version of PlanetProfile is compatible with the version number +% below. +seaVer = '0.9.2'; +checkSeaFreeze(seaVer); + set(0,'defaultfigurecolor',[1 1 1]) % white background for figures diff --git a/Thermodynamics/SeaFreeze/Matlab/Example_SeaFreeze.mlx 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zFtO~^I~vI@p9KG9iVI@oE`mkqH=(vbKK`XsRo>{W1A*pGA%!KQFR-!#Ec{yTjpHY?QhSK8CB7vuj$|FgHdrK6jzljA=TWfyMQAhkAH<61%HnBe0zu6IE$X zKRdJpeQkg`tIa(IE2)}$jBrMRjXwd3exJIVqGs>sIy`N9kd7;z#xKZMNKr@k{jgHy z;l)RByBn{zm0R)7|FPhpknLxh6m)32XsN;B#p4f^iagwFHvCtPc>AzgQNDgx6a)Z( z;Fa7z<8}I(QFO@of%na^f0sx~D|E@XW)j|hTcY9MaP75b<4~JI+{$2Aw0Ky{!W`eps) - m=[eps;m(:)]; % add in a zero value in order to calculate apparent quantities and remove it later - mflg=1; - end - end - [Pm,Tm,mm]=ndgrid(P,T,m); - G=sp_val(sp,{P,T,m}); - d1T=sp_val(sp,[ 0 1 0],{P,T,m}); - d2T=sp_val(sp,[ 0 2 0],{P,T,m}); - d3Tm=sp_val(sp,[ 0 2 1],{P,T,m}); - d1P=sp_val(sp,[ 1 0 0],{P,T,m}); - d2Pm=sp_val(sp,[ 1 0 1],{P,T,m}); - dPT=sp_val(sp,[ 1 1 0],{P,T,m}); - d2P=sp_val(sp,[ 2 0 0],{P,T,m}); - d3P=sp_val(sp,[ 3 0 0],{P,T,m}); - dGdm=sp_val(sp,[ 0 0 1],{P,T,m}); - else % scatter output - Tm=input(:,2); - Pm=input(:,1); - mm=input(:,3); - if(isstruct(Goin)) - Go=sp_val(Goin,Tm); % using a spline for the standard state vs T - else - Go=1; - end - - m=mm; - if mu_flg - mm0=zeros(size(mm))+eps; - mflg=1; - else - mflg=0; - end - G=sp_val(sp,input); - d1T=sp_val(sp,[ 0 1 0],input); - d2T=sp_val(sp,[0 2 0],input); - d3Tm=sp_val(sp,[0 2 1],input); - d1P=sp_val(sp,[1 0 0],input); - d2Pm=sp_val(sp,[1 0 1],input); - dPT=sp_val(sp,[1 1 0],input); - d2P=sp_val(sp,[2 0 0],input); - d3P=sp_val(sp,[3 0 0],input); - dGdm=sp_val(sp,[ 0 0 1],input); - % calculate zero concentration derivatives to determine apparent - % Volume and specific heat - if mu_flg - d2T0=sp_val(sp,[0 2 0],[Pm(:) Tm(:) mm0(:)]); - d1P0=sp_val(sp,[1 0 0],[Pm(:) Tm(:) mm0(:)]); - V0=1e-6*d1P0; % 1e6 for MPa to Pa - Cp0=-d2T0.*Tm(:); - end - end -end - -Cp=-d2T.*Tm; -Cv= Cp + Tm.*dPT.^2./d2P; -S=-d1T; -vel=real(sqrt(d1P.^2./(dPT.^2./d2T - d2P))); % MPa-Pa units conversion cancels. -% Problem with poor parameters that might produce an imaginary sound -% speed is overcome by reporting just the real component. -rho=1e6*d1P.^(-1); % 1e6 for MPa to Pa -Ks=rho.*vel.^2/1e6; -alpha=1e-6*dPT.*rho; % 1e6 for MPa to Pa - -U=G-1e6*Pm./rho+Tm.*S; -A=U-Tm.*S; -H=G+Tm.*S; -Kt=-d1P./d2P; -Kp=d1P.*d2P.^(-2).*d3P -1; - -if iscell(input) % gridded output - if mu_flg==1 - f=1+M*mm; - V=rho.^-1; - mus=M*G + f.*dGdm; - G_ss=Go+mus(:,:,1)-mus(1,:,1); - muw=G/nw - 1/nw*f.*mm.*dGdm; -% muw=G/nw - (mm/nw).*dGdm; - Vm=M*d1P +f.*d2Pm; - Cpm=M*Cp - f.* d3Tm.*Tm; - Cpa=(Cp.*f -repmat(squeeze(Cp(:,:,1)),1,1,length(m)))./mm; - Va=1e6*(V.*f - repmat(squeeze(V(:,:,1)),1,1,length(m)))./mm; - Vex= Va-Vm(:,:,1); - gamma=exp(1/R*1/nu*(mus-G_ss)./Tm - log(mm)); - phi=-nw*(muw-G(:,:,1)/nw)./mm./Tm/R/nu; - aw=exp(-mm.*phi*2/nw); - Gex=nu*R*Tm.*mm.*(log(gamma)-(phi-1)); % factor of m? -% Gex=G.*f-G(:,:,1)+mm.*(G_ss+nu*R*Tm.*(1-log(mm))); % not debugged - - if mflg % remove the added zero concentration ppoint - mm=mm(:,:,2:end); - Va=Va(:,:,2:end); - Cpa=Cpa(:,:,2:end); - Vm=Vm(:,:,2:end); - Cpm=Cpm(:,:,2:end); - G=G(:,:,2:end); - rho=rho(:,:,2:end); - Cp=Cp(:,:,2:end); - Cv=Cv(:,:,2:end); - S=S(:,:,2:end); - vel=vel(:,:,2:end); - Ks=Ks(:,:,2:end); - alpha=alpha(:,:,2:end); - U=U(:,:,2:end); - A=A(:,:,2:end); - H=H(:,:,2:end); - Kt=Kt(:,:,2:end); - Kp=Kp(:,:,2:end); - mus=mus(:,:,2:end); - muw=muw(:,:,2:end); - f=f(:,:,2:end); - gamma=gamma(:,:,2:end); - phi=phi(:,:,2:end); - G_ss=G_ss(:,:,2:end); - Vex=Vex(:,:,2:end); - Gex=Gex(:,:,2:end); - aw=aw(:,:,2:end); - - end - else - mus=[]; - muw=[]; - Cpa=[]; - Va=[]; - f=[]; - Vm=[]; - Cpm=[]; - gamma=[]; - phi=[]; - G_ss=[]; - Vex=[]; - Gex=[]; - aw=[]; - end -else % Scattered data - broken at moment - need to calculate second set of points at zero concentration - if mu_flg==1 - warning('The mixing quantities (Vex, Gex, gamma,etc are currently broken - needs code revision') - f=1+M*mm; - V=rho.^-1; - mus=M*G + f.*dGdm; - muw=G/nw - 1/nw*f.*mm.*dGdm; - Vm=M*d1P +f.*d2Pm; - Cpm=M*Cp - f.* d3Tm.*Tm; - Cpa=(Cp.*f - Cp0)./mm; - Va=1e6*(V.*f - V0)./mm; - Vex=Va-Vm(:,:,1); - G_ss=Go+R*nu*Tm.*log(mm); - gamma=exp(1/R*1/nu*(mus-G_ss)./Tm - log(mm)); - phi=-nw*(muw-G(:,:,1)/nw)./mm./Tm/R/nu; - Gex=nu*R*Tm.*(log(gamma)-(phi-1)); - aw=exp(-mm.*phi*2/nw); - - else - mus=[]; - muw=[]; - Cpa=[]; - Va=[]; - f=[]; - Vm=[]; - Cpm=[]; - gamma=[]; - phi=[]; - G_ss=[]; - Vex=[]; - Gex=[]; - aw=[]; - end -end - - - -Results.G=G; -Results.S=S; -Results.U=U; -Results.H=H; -Results.A=A; -Results.rho=rho; -Results.Cp=Cp; -Results.Cv=Cv; -Results.Kt=Kt; -Results.Ks=Ks; -Results.Kp=Kp; -Results.alpha=alpha; -Results.vel=vel; -if mu_flg - Results.Va=Va; - Results.Cpa=Cpa; - Results.mus=mus; - Results.muw=muw; - Results.f=f; - Results.m=mm; - Results.Vm=Vm; - Results.Cpm=Cpm; - Results.gamma=gamma; - Results.phi=phi; - Results.G_ss=G_ss; - Results.Vex=Vex; - Results.Gex=Gex; - Results.aw=aw; -end diff --git a/Thermodynamics/SeaFreeze/Matlab/README.md b/Thermodynamics/SeaFreeze/Matlab/README.md deleted file mode 100644 index 74fd705b..00000000 --- a/Thermodynamics/SeaFreeze/Matlab/README.md +++ /dev/null @@ -1,206 +0,0 @@ -# SeaFreeze - -V0.9.1 (Matlab version) - -The SeaFreeze package allows to compute the thermodynamic and elastic properties of water and ice polymorphs (Ih, III, V and VI) in the 0-2300 MPa and 220-500K range, with the study of icy worlds and their ocean in mind. It is based on the evaluation of Gibbs Local Basis Functions parametrization (https://github.com/jmichaelb/LocalBasisFunction) for each phase. The formalism is described in more details in Brown (2018), Journaux et al. (2019), and in the liquid water Gibbs parametrization by Bollengier, Brown, and Shaw (2019). - -## Getting Started - - -### Prerequisites - -This Matlab version of SeaFreeze has been tested on MATLAB_R2018a. SeaFreeze does not need any other toolboxes to work. Nonetheless, the "Curve Fitting Toolbox" allows to run the code significantly faster when evaluating a list of points rather than a grid. - -### Installing - -To install SeaFreeze, either change your active directory to SeaFreeze/Matlab, or add that directory to your Matlab path. In either case, the SeaFreeze_Gibbs.mat file must be in the same directory as the Matlab functions. - -## Running SeaFreeze - -### Inputs -To run the SeaFreeze function you need to provide pressure (MPa) and temperature (K) coordinates and a material input: - -``` -out=SeaFreeze(PT,'material') -``` - -PT is a structure (gridded output) or array (scatter output) containing pressure-temperature points (MPa and Kelvin). - -'material' defines which ice or water to use. Possibilities: -- 'Ih' for ice Ih (Feistel and Wagner, 2006) -- 'III' for ice III (Journaux et al. 2019) -- 'V' for ice V (Journaux et al. 2019) -- 'VI' for ice VI (Journaux et al. 2019) -- 'water1' for Bollengier et al. (2019) LBF extending to 500 K and 2300 MPa -- 'water2' for the modified EOS in Brown 2018 extending to 100 GPa -- 'water_IAPWS95' for IAPWS95 water (Wagner and Pruss, 2002) - -### Outputs -out is a structure containing all output quantities (SI units): - - -| Quantity | Symbol in SeaFreeze | Unit (SI) | -| --------------- |:---------------------:| :----------:| -| Gibbs Energy | `G` | J/kg | -| Entropy | `S` | J/K/kg | -| Internal Energy | `U` | J/kg | -| Enthalpy | `H` | J/kg | -| Helmholtz free energy | `A` | J/kg | -| Density |`rho`| kg/m^3 | -|Specific heat capacity at constant pressure|`Cp`| J/kg/K | -|Specific heat capacity at constant volume|`Cv`| J/kg/K | -| Isothermal bulk modulus |`Kt`| MPa | -|Pressure derivative of the Isothermal bulk modulus|`Kp`| - | -| Isoentropic bulk modulus |`Ks`| MPa | -| Thermal expansivity |`alpha`| /K | -| Shear modulus |`shear`| MPa | -| P wave velocity |`Vp`| m/s | -| S wave velocity |`Vs`| m/s | -| Bulk sound speed |`vel`| m/s | - - **NaN values returned when out of parametrization boundaries.** - - - - -## Example - -An executable matlab live script (Example_SeaFreeze.mlx) is provided allowing to run the following examples. - -### Single point input - -Single point for ice VI at 900 MPa and 255 K. This can be used to check returned thermodynamic properties values. -```Matlab -PT = {900,255}; -out=SeaFreeze(PT,'VI') -``` -Output : -```Matlab -out = - - struct with fields: - - rho: 1.3561e+03 - Cp: 2.0054e+03 - G: 7.4677e+05 - Cv: 1.8762e+03 - vel: 3.6759e+03 - Kt: 1.7143e+04 - Ks: 1.8323e+04 - Kp: 6.2751 - S: -1.3827e+03 - U: -2.6951e+05 - H: 8.3090e+04 - alpha: 2.0020e-04 - Vp: 4.5490e+03 - Vs: 2.3207e+03 - shear: 7.3033e+03 -``` - -### Grid input -Grid of points for ice V every 2 MPa from 400 to 500 MPa and every 0.5 K from 220 to 250 K -```Matlab -PT = {400:2:500,240:0.5:250}; -out=SeaFreeze(PT,'V') -``` -Output : -```Matlab -out = - - struct with fields: - - rho: [51×21 double] - Cp: [51×21 double] - G: [51×21 double] - Cv: [51×21 double] - vel: [51×21 double] - Kt: [51×21 double] - Ks: [51×21 double] - Kp: [51×21 double] - S: [51×21 double] - U: [51×21 double] - H: [51×21 double] - alpha: [51×21 double] - Vp: [51×21 double] - Vs: [51×21 double] - shear: [51×21 double] -``` - - -### List input -List of 3 points for liquid water at 300K and 200, 223 and 225 MPa -```Matlab -PT = ([200 300 ; 223 300 ; 225 300 ]); -out=SeaFreeze(PT,'water1') -``` - -```Matlab -out = - - struct with fields: - - rho: [3×1 double] - Cp: [3×1 double] - G: [3×1 double] - Cv: [3×1 double] - vel: [3×1 double] - Kt: [3×1 double] - Ks: [3×1 double] - Kp: [3×1 double] - S: [3×1 double] - U: [3×1 double] - H: [3×1 double] - alpha: [3×1 double] -``` - -## Important remarks -### Water representation -The ices Gibbs parametrizations are optimized to be used with 'water1' Gibbs LBF from Bollengier et al. (2019), specially for phase equilibrium calculation. Using other water parametrization wil lead to incorect melting curves. 'water2' (Brown 2018) and 'water_IAPWS95' (IAPWS95) parametrization are provided for HP extention (up to 100 GPa) and comparison only. The authors recommend the use of 'water1' (Bollengier et al. 2019) for any application in the 200-355 K range and up to 2300 MPa. - -### Ices phase diagram -The current version of SeaFreeze does not inlcude stable ice II Local basis function parametrization (It will be in the near future). Therefore the phase diagram generated is not yet valid below 248.8K and between 208.6 and 620 MPa which delimit the current accepted stability field of ice II (Bridgman, 1912). - -## References -- [Bollengier, Brown and Shaw (2019) J. Chem. Phys. 151, 054501; doi: 10.1063/1.5097179](https://aip.scitation.org/doi/abs/10.1063/1.5097179) -- [Brown (2018) Fluid Phase Equilibria 463, pp. 18-31](https://www.sciencedirect.com/science/article/pii/S0378381218300530) -- [Feistel and Wagner (2006), J. Phys. Chem. Ref. Data 35, pp. 1021-1047](https://aip.scitation.org/doi/abs/10.1063/1.2183324) -- [Journaux et al., (2019), in review (available on ArXiv)](https://arxiv.org/abs/1907.09598) -- [Wagner and Pruss (2002), J. Phys. Chem. Ref. Data 31, pp. 387-535](https://aip.scitation.org/doi/abs/10.1063/1.1461829) - -## Authors - -* **Baptiste Journaux** - *University of Washington, Earth and Space Sciences Department, Seattle, USA* -* **J. Michael Brown** - *University of Washington, Earth and Space Sciences Department, Seattle, USA* -* **Penny Espinoza** - *University of Washington, Earth and Space Sciences Department, Seattle, USA* - - - -## License - -This project is licensed under the MIT License : - -Copyright (c) 2019, B. Journaux - -Permission is hereby granted, free of charge, to any person obtaining a copy -of this software and associated documentation files, to deal -in the Software without restriction, including without limitation the rights -to use, copy, modify, merge, publish, distribute, sublicense, and/or sell -copies of the Software, and to permit persons to whom the Software is -furnished to do so, subject to the following conditions: - -The above copyright notice and this permission notice shall be included in all -copies or substantial portions of the Software. - -THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR -IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, -FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE -AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER -LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, -OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE -SOFTWARE. - -## Acknowledgments - -This work was produced with the financial support provided by the NASA Postdoctoral Program fellowship, by the NASA Solar System Workings Grant 80NSSC17K0775 and by the Icy Worlds node of NASA's Astrobiology Institute (08-NAI5-0021). - - diff --git a/Thermodynamics/SeaFreeze/Matlab/SF_WhichPhase.m b/Thermodynamics/SeaFreeze/Matlab/SF_WhichPhase.m deleted file mode 100644 index eae99c7d..00000000 --- a/Thermodynamics/SeaFreeze/Matlab/SF_WhichPhase.m +++ /dev/null @@ -1,39 +0,0 @@ -function out=SF_WhichPhase(PT) -% Version 1.0, -% Calculate which phase is stable at a given PT array -% Returns a numerical value with -% 0 = liquid -% 1 = ice Ih -% 3 = ice III -% 5 = ice V -% 6 = ice VI -% -%%% Example -% -% Indentify phase for every 10 MPa from 0 to 2300 MPa and every 1 K from -% 200 to 355 K : -% out = SF_WhichPhase({0:10:2300,200:355}) -% - - -load('SeaFreeze_Gibbs.mat') - -out_Ih=fnval(G_iceIh,PT'); -out_III=fnval(G_iceIII,PT'); -out_V=fnval(G_iceV,PT'); -out_VI=fnval(G_iceVI,PT'); -out_Bollengier=fnval(G_H2O_2GPa_500K,PT'); -% out_Brown=fnGval(G_H2O_100GPa_10000K,PT); -% out_IAPWS=fnGval(G_H2O_IAPWS,PT); -[np,nt]=size(out_Ih); - - - - - for i=1:np*nt - all_phaseG = [out_Bollengier(i) out_Ih(i) NaN out_III(i) NaN out_V(i) out_VI(i)]; - all_phaseG(find(all_phaseG == 0)) = NaN; - [Y,I]=min(all_phaseG); - out(i)=I-1; - end - out=reshape(out,np,nt); \ No newline at end of file diff --git a/Thermodynamics/SeaFreeze/Matlab/SeaFreeze.m b/Thermodynamics/SeaFreeze/Matlab/SeaFreeze.m deleted file mode 100644 index 90f41395..00000000 --- a/Thermodynamics/SeaFreeze/Matlab/SeaFreeze.m +++ /dev/null @@ -1,149 +0,0 @@ -function out=SeaFreeze(PT,material) -% Version 1.0 ; Journaux & Brown 2019 -% Calculate thermodynamic quantities for water or ices polymorphs -% (Ih, III, V and VI). Needs the SeaFreeze_Gibbs.mat library containing the -% Gibbs Local Basis Function parametrization to run -% Reference publication : Journaux et al., (2019) -% usage: -% out=SeaFreeze(PT,'material') -% where: -% out is a structure containing all output quantities (SI units): -% - G (J/kg) Gibbs Energy -% - S (J/K/kg) Entropy -% - U (J/kg) Internal Energy -% - H (J/kg) Enthalpy -% - rho(kg/m^3) Density -% - Cp (J/kg/K) Specific heat capacity at constant pressure -% - Cv (J/kg/K) Specific heat capacity at constant volume -% - Kt (MPa) Isothermal bulk modulus -% - Kp (dimensionless) Pressure derivative of the Isothermal bulk modulus -% - Ks (MPa) Isoentropic bulk modulus -% - alpha (/K) Thermal expansivity -% - shear (MPa) Shear modulus -% - Vp (m/s) P wave velocity -% - Vs (m/s) S wave velocity -% - vel (m/s) bulk sound speed -% PT is a structure (gridded output) or array (scatter output) -% containing pressure-temperature points (MPa and Kelvin) -% NaN values returned when out of parametrization boundaries. -% -% Material defines which ice or water to use. Possibilities: -% Ih for ice Ih (Feistel and Wagner, 2006) -% III for ice III (Journaux et al. 2019) -% V for ice V (Journaux et al. 2019) -% VI for ice VI (Journaux et al. 2019) -% water1 for Bollengier et al. (2019) LBF extending to 500 K and 2300 MPa -% water2 for the modified EOS in Brown 2018 extending to 100 GPa -% water_IAPWS95 for IAPWS95 water (Wagner and Pruß, 2002) -% -%%%% !! Important remarks : !! -% The ices Gibbs parametrizations are optimized to be used with -% 'water1' Gibbs LBF from Bollengier et al. (2019), specially for phase -% equilibrium calculation. Using other water parametrization wil lead -% to incorect melting curves. -% 'water2' (Brown 2018) and 'water_IAPWS95' (IAPWS95) parametrization -% are provided for HP extention (up to 100 GPa) and comparison only. -% The authors recommend the use of 'water1' (Bollengier et al. 2019) -% for any application in the 200-355 K range and up to 2300 MPa. -% -%%%% Examples : -% - Single point for ice VI at 900 MPa and 255 K -% out=SeaFreeze([900,255],'VI') -% - Array for ice V every 2 MPa from 400 to 500 MPa and every 0.5 K from -% 220 to 250 K -% out=SeaFreeze({400:2:500,240:0.5:250},'VI') -% -% -%%%% References -% -% Bollengier, Brown and Shaw (2019) J. Chem. Phys. 151; doi: 10.1063/1.5097179 -% Brown (2018) Fluid Phase Equilibria 463, pp. 18-31 -% Feistel and Wagner (2006), J. Phys. Chem. Ref. Data 35, pp. 1021-1047 -% Journaux et al., (2019) TBD -% Wagner and Pruß (2002), J. Phys. Chem. Ref. Data 31, pp. 387-535 - -test_toolbox = license('test','curve_fitting_toolbox'); - - - -% spline tools from curve_fitting_toolbox are faster but require the -% toolbox to be installed. An alternative (OpenGval) based on the sp_val function -% is provided to allow use of LBF representations without installation of -% the optional Curevefitting Toolbox. It is as fast for gridded PT inputs -% and around 5 times slower for a list of inputs -if test_toolbox == 1 - switch material - case 'Ih' - load('SeaFreeze_Gibbs.mat', 'G_iceIh'); - out=fnGval(G_iceIh,PT); - shear_mod=[3.04 -0.00462 0 -0.00607 1000 273.15]; - - case 'III' - load('SeaFreeze_Gibbs.mat', 'G_iceIII'); - out=fnGval(G_iceIII,PT); - shear_mod=[2.57 0.0175 0 -0.014 1100 273]; - case 'V' - load('SeaFreeze_Gibbs.mat', 'G_iceV'); - out=fnGval(G_iceV,PT); - shear_mod=[2.57 0.0175 0 -0.014 1100 273]; - case 'VI' - load('SeaFreeze_Gibbs.mat', 'G_iceVI'); - out=fnGval(G_iceVI,PT); - shear_mod=[2.57 0.0175 0 -0.014 1100 273]; - - case 'water1' - load('SeaFreeze_Gibbs.mat', 'G_H2O_2GPa_500K'); - out=fnGval(G_H2O_2GPa_500K,PT); - case 'water2' - load('SeaFreeze_Gibbs.mat', 'G_H2O_100GPa_10000K'); - out=fnGval(G_H2O_100GPa_10000K,PT); - case 'water_IAPWS95' - load('SeaFreeze_Gibbs.mat', 'G_H2O_IAPWS'); - out=fnGval(G_H2O_IAPWS,PT); - end -else - switch material - case 'Ih' - load('SeaFreeze_Gibbs.mat', 'G_iceIh'); - out=OpenGval(G_iceIh,PT); - shear_mod=[3.04 -0.00462 0 -0.00607 1000 273.15]; - - case 'III' - load('SeaFreeze_Gibbs.mat', 'G_iceIII'); - out=OpenGval(G_iceIII,PT); - shear_mod=[2.57 0.0175 0 -0.014 1100 273]; - case 'V' - load('SeaFreeze_Gibbs.mat', 'G_iceV'); - out=OpenGval(G_iceV,PT); - shear_mod=[2.57 0.0175 0 -0.014 1100 273]; - case 'VI' - load('SeaFreeze_Gibbs.mat', 'G_iceVI'); - out=OpenGval(G_iceVI,PT); - shear_mod=[2.57 0.0175 0 -0.014 1100 273]; - - case 'water1' - load('SeaFreeze_Gibbs.mat', 'G_H2O_2GPa_500K'); - out=OpenGval(G_H2O_2GPa_500K,PT); - case 'water2' - load('SeaFreeze_Gibbs.mat', 'G_H2O_100GPa_10000K'); - out=OpenGval(G_H2O_100GPa_10000K,PT); - case 'water_IAPWS95' - load('SeaFreeze_Gibbs.mat', 'G_H2O_IAPWS'); - out=OpenGval(G_H2O_IAPWS,PT); - end -end - - - -if iscell(PT) - [~,Tm]=ndgrid(PT{1},PT{2}); -else - Tm=PT(:,2); -end -if(exist('shear_mod')) - shear=shear_mod(1)+shear_mod(2)*(out.rho-shear_mod(5))+shear_mod(3)*(out.rho-shear_mod(5)).^2+shear_mod(4)*(Tm-shear_mod(6)); - out.Vp=1e3*sqrt((out.Ks/1e3+4/3*shear)./out.rho/1e-3); - out.Vs=1e3*sqrt(shear./out.rho/1e-3); - out.shear=shear*1e3; % convert to MPa to be consistent with units -end - diff --git a/Thermodynamics/SeaFreeze/Matlab/SeaFreeze_Gibbs.mat b/Thermodynamics/SeaFreeze/Matlab/SeaFreeze_Gibbs.mat deleted file mode 100644 index c7ab2bae90e3d2ff30d70bc054f28d5cb4cdf3f3..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 1346046 zcma%>Q<5kOfJ581ZQHhO+qP}nw)?hi+qP}n^JZ2s`ATI2N!5w0po)y35CJP41A(ld z3ay!?jVTR*f{meznZ1)O*MFI?BpVA2fv}UQp^K>rfxR6Ufr^DIft0Hq0TVj`BP$m( zBNqcZ0TTlwC&B+$DG?|D|0h66S@{3V`6Lj4M^28LtA@ID(#-+ zruQn3|IVDkkpl;Pp)W_0zQpGgq@zF9!(GO{e$GL9Rpviw%SF>wB zS;1%gS;2SgKZZ^H1<3{eFSd!luK0cbi?3jP+3!7{q`&^UUv$0=dU&GIAO9?j@5seI z#b0)+pGd)Tcb`x9>QC;~cij9R-26Y}gTcG**ZhdJ58bsd-L*emc7R|rt-x0{;d=!8 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z`^h!$4Rd!MKe~B4O~EV8Vt0%mfay#{kKlEI9lRvqyl+`Z$^J`-=(60_p2uz+VnVpy-3} Sk;_5k^h8NH2m$~h={hi!0G|*5 diff --git a/Thermodynamics/SeaFreeze/Matlab/fnGval.m b/Thermodynamics/SeaFreeze/Matlab/fnGval.m deleted file mode 100644 index c0731c18..00000000 --- a/Thermodynamics/SeaFreeze/Matlab/fnGval.m +++ /dev/null @@ -1,287 +0,0 @@ -function Results=fnGval(sp,input) -% function to return rho,vel, G, Cp, alpha S U A H K and Kp for G splines in either (P and T) or (m, P, and T) -% ALL MKS with P in MPa -% Usage: Results=fnGval(sp,input, MW) -% Results=Result.rho,vel,G,Cp,alpha,S,U,A,H,Kt,Kp,Ks,mus,muw -% where input is either a npts by (2 or 3) matrix of scatter points in [P T m] or input is a cell of {P,T,m} -% m in molality, P in MPa and T in K. optional MW is molecular -% weight in kg/mol - needed for chemical potentials and -% partial molar quantities -% rho in kg/m^3, vel in m/s, G in J/kg Cp in J/kg/K alpha in K^(-1) -% mu is dG/dm where m is in units determined externally -% -% JMB 2015-2019 - -nw=1000/18.01528; % number of moles of water in a kilogram of water -R=8.3144; %kJ/mol/K - -% if a 3rd input argument is given (a molecular weight) then calculate -% partial molar quantities (mu_flg=1) -mu_flg=1; -if length(sp.knots)==2 - mu_flg=0; -end - -%Determine whether this is P-T or P-T-m spline for gridded or scattered points -if iscell(input) % gridded data - nd=length(input); -else % scattered data in columns - [~,nd]=size(input); -end - -% handle P T representations -if nd==1 - error('Check input PTm: fnGval finds one column of input. Input needs to be column centric: [P(:) T(:) optional m(:)]') -elseif nd==2 % spline in P and T only - if iscell(input) % gridded output - P=input{1};T=input{2}; - [Pm,Tm]=ndgrid(P,T); - G=fnval(sp,{P,T}); - d1T=fnval(fnder(sp,[ 0 1]),{P,T}); - d2T=fnval(fnder(sp,[ 0 2]),{P,T}); - d1P=fnval(fnder(sp,[ 1 0]),{P,T}); - dPT=fnval(fnder(sp,[ 1 1]),{P,T}); - d2P=fnval(fnder(sp,[ 2 0]),{P,T}); - d3P=fnval(fnder(sp,[ 3 0]),{P,T}); - else % scatter output - Tm=input(:,2); - Pm=input(:,1); - G=fnval(sp,input')'; - d1T=fnval(fnder(sp,[ 0 1]),input')'; - d2T=fnval(fnder(sp,[0 2]),input')'; - d1P=fnval(fnder(sp,[1 0]),input')'; - dPT=fnval(fnder(sp,[1 1]),input')'; - d2P=fnval(fnder(sp,[2 0]),input')'; - d3P=fnval(fnder(sp,[3 0]),input')'; - end - -elseif nd==3 % spline in P, T and compositions - if (isfield(sp,'MW')) - M=sp.MW; - % default. In the future water may not be the solvent and the - % first enty gives the MW for the solvent. - if length(M)==2 - M=M(2); - end - else - error('a compositional LBF needs the molecular weight set in the structure') - end - if (isfield(sp,'nu')) - nu=sp.nu; - else - error('a compositional LBF needs the number of ions in solution (nu) set in the structure') - end - if (isfield(sp,'Go')) - Goin=sp.Go; - else - error('a compositional LBF needs the standard state of the solute at the reference P in the form of a univarient LBF') - end - if iscell(input) % gridded output - P=input{1};T=input{2}; m=input{3}; - if(isstruct(Goin)) - Go=fnval(Goin,T); % using a spline for the standard state vs T - else - Go=1; - end - m(m==0)=eps; % add eps to zero concentrations to avoid divide by zero - mflg=0; - if mu_flg - if (m(1)>eps) - m=[eps;m(:)]; % add in a zero value in order to calculate apparent quantities and remove it later - mflg=1; - end - end - [Pm,Tm,mm]=ndgrid(P,T,m); - G=fnval(sp,{P,T,m}); - d1T=fnval(fnder(sp,[ 0 1 0]),{P,T,m}); - d2T=fnval(fnder(sp,[ 0 2 0]),{P,T,m}); - d3Tm=fnval(fnder(sp,[ 0 2 1]),{P,T,m}); - d1P=fnval(fnder(sp,[ 1 0 0]),{P,T,m}); - d2Pm=fnval(fnder(sp,[ 1 0 1]),{P,T,m}); - dPT=fnval(fnder(sp,[ 1 1 0]),{P,T,m}); - d2P=fnval(fnder(sp,[ 2 0 0]),{P,T,m}); - d3P=fnval(fnder(sp,[ 3 0 0]),{P,T,m}); - dGdm=fnval(fnder(sp,[ 0 0 1]),{P,T,m}); - else % scatter output - Tm=input(:,2); - Pm=input(:,1); - mm=input(:,3); - if(isstruct(Goin)) - Go=fnval(Goin,Tm); % using a spline for the standard state vs T - else - Go=1; - end - - m=mm; - if mu_flg - mm0=zeros(size(mm))+eps; - mflg=1; - else - mflg=0; - end - G=fnval(sp,input')'; - d1T=fnval(fnder(sp,[ 0 1 0]),input')'; - d2T=fnval(fnder(sp,[0 2 0]),input')'; - d3Tm=fnval(fnder(sp,[0 2 1]),input')'; - d1P=fnval(fnder(sp,[1 0 0]),input')'; - d2Pm=fnval(fnder(sp,[1 0 1]),input')'; - dPT=fnval(fnder(sp,[1 1 0]),input')'; - d2P=fnval(fnder(sp,[2 0 0]),input')'; - d3P=fnval(fnder(sp,[3 0 0]),input')'; - dGdm=fnval(fnder(sp,[ 0 0 1]),input')'; - % calculate zero concentration derivatives to determine apparent - % Volume and specific heat - if mu_flg - d2T0=fnval(fnder(sp,[0 2 0]),[Pm(:) Tm(:) mm0(:)]')'; - d1P0=fnval(fnder(sp,[1 0 0]),[Pm(:) Tm(:) mm0(:)]')'; - V0=1e-6*d1P0; % 1e6 for MPa to Pa - Cp0=-d2T0.*Tm(:); - end - end -end - -Cp=-d2T.*Tm; -Cv= Cp + Tm.*dPT.^2./d2P; -S=-d1T; -vel=real(sqrt(d1P.^2./(dPT.^2./d2T - d2P))); % MPa-Pa units conversion cancels. -% Problem with poor parameters that might produce an imaginary sound -% speed is overcome by reporting just the real component. -rho=1e6*d1P.^(-1); % 1e6 for MPa to Pa -Ks=rho.*vel.^2/1e6; -alpha=1e-6*dPT.*rho; % 1e6 for MPa to Pa - -U=G-1e6*Pm./rho+Tm.*S; -A=U-Tm.*S; -H=G+Tm.*S; -Kt=-d1P./d2P; -Kp=d1P.*d2P.^(-2).*d3P -1; - -if iscell(input) % gridded output - if mu_flg==1 - f=1+M*mm; - V=rho.^-1; - mus=M*G + f.*dGdm; - G_ss=Go+mus(:,:,1)-mus(1,:,1); - muw=G/nw - 1/nw*f.*mm.*dGdm; -% muw=G/nw - (mm/nw).*dGdm; - Vm=M*d1P +f.*d2Pm; - Cpm=M*Cp - f.* d3Tm.*Tm; - Cpa=(Cp.*f -repmat(squeeze(Cp(:,:,1)),1,1,length(m)))./mm; - Va=1e6*(V.*f - repmat(squeeze(V(:,:,1)),1,1,length(m)))./mm; - Vex= Va-Vm(:,:,1); - gamma=exp(1/R*1/nu*(mus-G_ss)./Tm - log(mm)); - phi=-nw*(muw-G(:,:,1)/nw)./mm./Tm/R/nu; - aw=exp(-mm.*phi*2/nw); - Gex=nu*R*Tm.*mm.*(log(gamma)-(phi-1)); % factor of m? -% Gex=G.*f-G(:,:,1)+mm.*(G_ss+nu*R*Tm.*(1-log(mm))); % not debugged - - if mflg % remove the added zero concentration ppoint - mm=mm(:,:,2:end); - Va=Va(:,:,2:end); - Cpa=Cpa(:,:,2:end); - Vm=Vm(:,:,2:end); - Cpm=Cpm(:,:,2:end); - G=G(:,:,2:end); - rho=rho(:,:,2:end); - Cp=Cp(:,:,2:end); - Cv=Cv(:,:,2:end); - S=S(:,:,2:end); - vel=vel(:,:,2:end); - Ks=Ks(:,:,2:end); - alpha=alpha(:,:,2:end); - U=U(:,:,2:end); - H=H(:,:,2:end); - Kt=Kt(:,:,2:end); - Kp=Kp(:,:,2:end); - mus=mus(:,:,2:end); - muw=muw(:,:,2:end); - f=f(:,:,2:end); - gamma=gamma(:,:,2:end); - phi=phi(:,:,2:end); - G_ss=G_ss(:,:,2:end); - Vex=Vex(:,:,2:end); - Gex=Gex(:,:,2:end); - aw=aw(:,:,2:end); - - end - else - mus=[]; - muw=[]; - Cpa=[]; - Va=[]; - f=[]; - Vm=[]; - Cpm=[]; - gamma=[]; - phi=[]; - G_ss=[]; - Vex=[]; - Gex=[]; - aw=[]; - end -else % Scattered data - broken at moment - need to calculate second set of points at zero concentration - if mu_flg==1 - warning('The mixing quantities (Vex, Gex, gamma,etc are currently broken - needs code revision') - f=1+M*mm; - V=rho.^-1; - mus=M*G + f.*dGdm; - muw=G/nw - 1/nw*f.*mm.*dGdm; - Vm=M*d1P +f.*d2Pm; - Cpm=M*Cp - f.* d3Tm.*Tm; - Cpa=(Cp.*f - Cp0)./mm; - Va=1e6*(V.*f - V0)./mm; - Vex=Va-Vm(:,:,1); - G_ss=Go+R*nu*Tm.*log(mm); - gamma=exp(1/R*1/nu*(mus-G_ss)./Tm - log(mm)); - phi=-nw*(muw-G(:,:,1)/nw)./mm./Tm/R/nu; - Gex=nu*R*Tm.*(log(gamma)-(phi-1)); - aw=exp(-mm.*phi*2/nw); - - else - mus=[]; - muw=[]; - Cpa=[]; - Va=[]; - f=[]; - Vm=[]; - Cpm=[]; - gamma=[]; - phi=[]; - G_ss=[]; - Vex=[]; - Gex=[]; - aw=[]; - end -end - - - -Results.G=G; -Results.S=S; -Results.U=U; -Results.H=H; -Results.A=A; -Results.rho=rho; -Results.Cp=Cp; -Results.Cv=Cv; -Results.Kt=Kt; -Results.Ks=Ks; -Results.Kp=Kp; -Results.alpha=alpha; -Results.vel=vel; -if mu_flg - Results.Va=Va; - Results.Cpa=Cpa; - Results.mus=mus; - Results.muw=muw; - Results.f=f; - Results.m=mm; - Results.Vm=Vm; - Results.Cpm=Cpm; - Results.gamma=gamma; - Results.phi=phi; - Results.G_ss=G_ss; - Results.Vex=Vex; - Results.Gex=Gex; - Results.aw=aw; -end diff --git a/Thermodynamics/SeaFreeze/Matlab/sp_val.m b/Thermodynamics/SeaFreeze/Matlab/sp_val.m deleted file mode 100644 index bfa4d92d..00000000 --- a/Thermodynamics/SeaFreeze/Matlab/sp_val.m +++ /dev/null @@ -1,259 +0,0 @@ -function out=sp_val(sp,derv,x) -% function sp_val is offered to allow use of LBF representations without -% installation of the optional Curevefitting Toolbox (that includes spline functions). -% sp_val substitutes for the combinations of fnval and fnder plus various utility -% functions in the spline toolbox. sp_val is "self contained" and calls no other -% specialized functions. The algorithms are those given by de Boor. -% -% Usage: out = sp_val(LBF,derv,x) or = sp_val(LBF,x) if derivatives are not needed -% -% where: "out" is a vector or matrix of values (depending on the form of"x" -% "LBF" is a b spline (tensor or univarient) -% "derv" is vector of requested derivatives (one element per degree of freedom) -% "x" is either a cell containing the independent variables (gridded output) -% or an array of scattered data. -% sp_val(LBF,[0 0 ..],x) is equivalent to sp_val(LBF,x) -% example: for an LBF in pressure (0-100 MPa), temperature (250-350 K) and concentration (0-1 M), -% PTm={0:10:100,250:10:350,0:.1:1} and for first derivatives of -% all independent variables: -% out=sp_val(LBF,[1 1 1],PTm); -% -% no error checking is included - user must understand how to use this function. -% -% a major limitation of this function is that scattered data are calculated -% in a loop using the b-form splines (parfor speeds it up). For scattered data, -% the Mathworks provided fnval convert the b-splines to a pp-form and then does the -% calculation using the pp-form. To do this requires more implementation of various -% spline manipulations. The slower method used here is about 3-5 times slower. -% 7/2019 - - - -if nargin==2,x=derv;derv=zeros(size(x(1,:)));end - sp=fndr(sp,derv); - out = spvl(sp,x); -end - -function out = spvl(sp,x) -% based on SPVAL that evaluates a function in B-form. - -if iscell(sp.knots) % we are dealing with a tensor product spline - [t,a,n,~,d] = spbk(sp); m = length(t); - nd=length(x); - if iscell(x) % evaluation on a mesh - v = a; sizev = [d,n]; nsizev = zeros(1,m); - for i=m:-1:1 - nsizev(i) = length(x{i}(:)); - v = reshape(... - spv(spmk(t{i},reshape(v,prod(sizev(1:m)),sizev(m+1))), ... - x{i}), [sizev(1:m),nsizev(i)]); - sizev(m+1) = nsizev(i); - if m>1 - v = permute(v,[1,m+1,2:m]); sizev(2:m+1) = sizev([m+1,2:m]); - end - end - if d>1 - out = reshape(v,[d,nsizev]); - else - out = reshape(v,nsizev); - end - - else % evaluation at scattered points; - % this will eventually be done directly here. - out=zeros(nd,1); - parfor ii=1:nd - sizev = [d,n]; nsizev = ones(1,m); - v = a; - for i=m:-1:1 - v = reshape(... - spv(spmk(t{i},reshape(v,prod(sizev(1:m)),sizev(m+1))), ... - x(ii,i)), [sizev(1:m),1]); - sizev(m+1) = 1; - if m>1 - v = permute(v,[1,m+1,2:m]); sizev(2:m+1) = sizev([m+1,2:m]); - end - end - if d>1 - v = reshape(v,[d,nsizev]); - else - v = reshape(v,nsizev); - end - out(ii)=v; - end - - end -else % we are dealing with a univariate spline - v = spv(sp,x); -end -end - -function v = spv(sp,x) -% based on SPVAL1 that evaluate a univariate function in B-form. - -[mx,nx] = size(x); lx = mx*nx; xs = reshape(x,1,lx); -% Take apart spline: -[t,a,n,k,d] = spbk(sp); -if lx==0, v = zeros(d,0); return, end - -% Otherwise, augment the knot sequence so that first and last knot each -% has multiplicity >= K . (AUGKNT would not be suitable for this since -% any change in T must be accompanied by a corresponding change in A.) - -index = find(diff(t)>0); addl = k-index(1); addr = index(end)-n; -if ( addl>0 || addr>0 ) - npk = n+k; t = t([ones(1,addl) 1:npk npk(ones(1,addr))]); - a = [zeros(d,addl) a zeros(d,addr)]; - n = n+addl+addr; -end - -% For each data point, compute its knot interval: - [~, index] = histc(-xs,[-inf,-fliplr(t(k+1:n)),inf]); - NaNx = find(index==0); index = max(n+1-index,k); -if ~isempty(NaNx), index(NaNx) = k; end - -% Now, all is ready for the evaluation. -if k>1 % carry out in lockstep the first spline evaluation algorithm - % (this requires the following initialization): - dindex = reshape(repmat(index,d,1),d*lx,1); - tx =reshape(t(repmat(2-k:k-1,d*lx,1)+repmat(dindex,1,2*(k-1))),d*lx,2*(k-1)); - tx = tx - repmat(reshape(repmat(xs,d,1),d*lx,1),1,2*(k-1)); - dindex = reshape(repmat(d*index,d,1)+repmat((1-d:0).',1,lx),d*lx,1); - b = repmat(d*(1-k):d:0,d*lx,1)+repmat(dindex,1,k); - a = a(:); b(:) = a(b); - - % (the following loop is taken from SPRPP) - - for r = 1:k-1 - for i = 1:k-r - b(:,i) = (tx(:,i+k-1).*b(:,i)-tx(:,i+r-1).*b(:,i+1)) ./ ... - (tx(:,i+k-1) - tx(:,i+r-1)); - end - end - v = reshape(b(:,1),d,lx); -else % the spline is piecewise constant, hence ... - v = a(:,index); - if ~isempty(NaNx), v(:,NaNx) = NaN; end -end - -% Finally, zero out all values for points outside the basic interval: -index = find(xt(n+k)); -if ~isempty(index) - v(:,index) = zeros(d,length(index)); -end -v = reshape(v,d*mx,nx); -end - - -function spline = spmk(knots,coefs,sizec) -%based on SPMAK that puts together a spline in B-form. - -if nargin<3 - sizec = size(coefs); -end -m = 1; -if iscell(knots) - m = length(knots); -end - -if length(sizec)==m % coefficients of a scalar-valued function - sizec = [1 sizec]; -end - -% convert ND-valued coefficients into vector-valued ones, retaining the -% original size in SIZEVAL, to be temporaily stored in SP.DIM . -sizeval = sizec(1:end-m); -sizec = [prod(sizeval), sizec(end-m+(1:m))]; -coefs = reshape(coefs, sizec); - -if iscell(knots) % we are putting together a tensor-product spline - [knots,coefs,k,sizec] = chkt(knots,coefs,sizec); -else % we are putting together a univariate spline - [knots,coefs,k,sizec] = chkt({knots},coefs,sizec); - knots = knots{1}; -end - -spline.form = 'B-'; -spline.knots = knots; -spline.coefs = coefs; -spline.number = sizec(2:end); -spline.order = k; -spline.dim = sizeval; -end - -function [knots,coefs,k,sizec] = chkt(knots,coefs,sizec) -%based on CHCKKNT: checks knots and omits trivial B-splines -for j=1:length(sizec)-1 - n = sizec(j+1); - k(j) = length(knots{j})-n; - - % make sure knot sequence is a row matrix: - knots{j} = reshape(knots{j},1,n+k(j)); - % throw out trivial B-splines: - index = find(knots{j}(k(j)+(1:n))-knots{j}(1:n)>0); - if length(index)1, f.dim = prod(sizeval); end -if nargin<2, dorder=1; end - - [knots,coefs,n,~,d]=spbk(f); - if iscell(knots) % the function is multivariate - m = length(knots); - sizec = [d,n];% size(coefs); - for i=m:-1:1 - dsp = fndb(spmk(knots{i},... - reshape(coefs,prod(sizec(1:m)),sizec(m+1))),dorder(i)); - knots{i} = dsp.knots; sizec(m+1) = dsp.number; - coefs = reshape(dsp.coefs,sizec); - if m>1 - coefs = permute(coefs,[1,m+1,2:m]); - sizec(2:m+1) = sizec([m+1,2:m]); - end - end - fprime = spmk(knots,coefs,sizec); - else - fprime = fndb(f,dorder); - end -if length(sizeval)>1, fprime.dim = sizeval; end -end - - -function fprime = fndb(f,dorder) -%FNDERB Differentiate a univariate function in B-form. -[t,a,n,k,d]=spbrk(f); -if k<=dorder - fprime=spmak(t,zeros(d,n)); -elseif dorder<0 % we are to integrate - error('integration not implemented') -else - knew=k-dorder; - for j=k-1:-1:knew - % here it is: difference the knots and coefficients - tt=t(j+1+[0:n])-t(1:n+1); z=find(tt>0); nn=length(z); - temp=(diff([zeros(1,d);a.'; zeros(1,d)])).'; - a=temp(:,z)./repmat(tt(z)/j,d,1); - t=[t(z) t(n+2:n+j+1)]; n=nn; - end - fprime=spmak(t,a); -end -end - - -function varargout = spbk(sp) - varargout = {sp.knots,sp.coefs, sp.number, sp.order, sp.dim}; -end - - diff --git a/Thermodynamics/SeaFreeze/README_PP.md b/Thermodynamics/SeaFreeze/README_PP.md new file mode 100644 index 00000000..df747b5e --- /dev/null +++ b/Thermodynamics/SeaFreeze/README_PP.md @@ -0,0 +1,3 @@ +Install SeaFreeze by copying the contents of the Matlab folder at https://github.com/Bjournaux/SeaFreeze into the Thermodynamics/SeaFreeze folder of PlanetProfile. + +The contents of the Matlab folder in the SeaFreeze repository should be placed in this folder. \ No newline at end of file diff --git a/Thermodynamics/SeaFreeze/checkSeaFreeze.m b/Thermodynamics/SeaFreeze/checkSeaFreeze.m new file mode 100644 index 00000000..b52b8dae --- /dev/null +++ b/Thermodynamics/SeaFreeze/checkSeaFreeze.m @@ -0,0 +1,54 @@ +function checkSeaFreeze(compatVer) + try + seaVer = SeaFreeze_version; + catch + if exist('SeaFreeze.m','file') + % We get here if SeaFreeze is on the path, but + % SeaFreeze_version was not found. This function was added in + % SeaFreeze version 0.9.2, the earliest PlanetProfile + % version to adopt SeaFreeze. + seaVer = '0.9.1'; + else + if exist(fullfile('Thermodynamics/SeaFreeze/Matlab'),'dir') % If user has SeaFreeze but simply not added to the path + addpath(fullfile('Thermodynamics/SeaFreeze/Matlab')); + disp('SeaFreeze was not found on the path; SeaFreeze/Matlab was found and added to the path.') + elseif exist(fullfile('Thermodynamics/SeaFreeze/SeaFreeze/Matlab'),'dir') % In case user has cloned the SeaFreeze git repo into the SeaFreeze folder + addpath(fullfile('Thermodynamics/SeaFreeze/SeaFreeze/Matlab')); + disp('SeaFreeze was not found on the path; Thermodynamics/SeaFreeze/SeaFreeze/Matlab was found and added to the path.') + end + try + seaVer = SeaFreeze_version; + catch + error(['ERROR: SeaFreeze was not found on the path. Is it installed?' ... + ' Download from: https://github.com/Bjournaux/SeaFreeze and place the ' ... + 'contents of the Matlab version into PlanetProfile/Thermodynamics/SeaFreeze/.' ... + ' SeaFreeze is a strict dependency; aborting.']) + end + end + end + + % Get major and minor versions as numbers + seaDigits = split(seaVer,'.'); + seaMaj = str2double(char(seaDigits(1))); + seaMin = str2double(char(seaDigits(2))); + seaSub = str2double(char(seaDigits(3))); + compatDigits = split(compatVer,'.'); + compatMaj = str2double(char(compatDigits(1))); + compatMin = str2double(char(compatDigits(2))); + compatSub = str2double(char(compatDigits(3))); + + % Compare the version numbers + if compatMaj == seaMaj && compatMin == seaMin && compatSub == seaSub + return + elseif compatMaj > seaMaj || (compatMaj == seaMaj && compatMin > seaMin) || (compatMaj == seaMaj && compatMin == seaMin && compatSub > seaSub) + warning(['WARNING: This version of PlanetProfile is compatible with a newer version of SeaFreeze, ' ... + 'version ' compatVer ', but the installed version of SeaFreeze is ' seaVer '. Upgrading to version ' ... + compatVer ' is strongly recommended, as missing features are likely to cause errors.']) + % Wait a few seconds to be very sure user has a chance to see this message. + pause(3); + else + warning(['WARNING: This version of PlanetProfile is compatible with SeaFreeze version ' ... + compatVer ', but SeaFreeze version ' seaVer ' is installed. If you encounter errors, ' ... + 'try installing the compatible version of SeaFreeze.']) + end +end \ No newline at end of file diff --git a/makefile b/makefile index 1f1ab1fe..30a805cd 100644 --- a/makefile +++ b/makefile @@ -166,7 +166,7 @@ ifeq ($(foundmatlab),1) @echo " and delete this repository to complete uninstall." else @# Recreate startup.m file to check against the one Matlab is using - @pathdirs=($$(find * -type d -not -path *version* -not -path *input*)) ; \ + @pathdirs=($$(find * -type d -not -path *version*)) ; \ echo "$(cdpp)" > startup.m ; \ for subdir in $${pathdirs[@]} ; do \ echo "addpath('$$subdir')" >> startup.m ; \