source: issm/trunk-jpl/examples/SlrFarrell/runme.m@ 22818

clear all;

steps=[1]; % [1:5] 

if any(steps==1) 
        disp('   Step 1: Global mesh creation');

        numrefine=1;
        resolution=150*1e3;                     % inital resolution [m] 
        radius = 6.371012*10^6;         % mean radius of Earth, m
        mindistance_coast=150*1e3;      % coastal resolution [m] 
        mindistance_land=300*1e3;       % resolution on the continents [m]
        maxdistance=600*1e3;                    % max element size (on mid-oceans) [m]

        md=model; 
        md.mask=maskpsl(); 
        md.mesh=gmshplanet('radius',radius*1e-3,'resolution',resolution*1e-3); % attributes in [km] 

        for i=1:numrefine,

                md.mask.ocean_levelset=gmtmask(md.mesh.lat,md.mesh.long); 

                distance=zeros(md.mesh.numberofvertices,1);

                pos=find(~md.mask.ocean_levelset);      coaste.lat=md.mesh.lat(pos);    coaste.long=md.mesh.long(pos);  
                pos=find(md.mask.ocean_levelset);       coasto.lat=md.mesh.lat(pos);    coasto.long=md.mesh.long(pos);  

                for j=1:md.mesh.numberofvertices
                        phi1=md.mesh.lat(j)/180*pi; lambda1=md.mesh.long(j)/180*pi; 
                        if md.mask.ocean_levelset(j),
                                phi2=coaste.lat/180*pi; lambda2=coaste.long/180*pi; 
                                deltaphi=abs(phi2-phi1); deltalambda=abs(lambda2-lambda1);
                                d=radius*2*asin(sqrt(sin(deltaphi/2).^2+cos(phi1).*cos(phi2).*sin(deltalambda/2).^2));
                        else
                                phi2=coasto.lat/180*pi; lambda2=coasto.long/180*pi; 
                                deltaphi=abs(phi2-phi1); deltalambda=abs(lambda2-lambda1);
                                d=radius*2*asin(sqrt(sin(deltaphi/2).^2+cos(phi1).*cos(phi2).*sin(deltalambda/2).^2));
                        end
                        distance(j)=min(d);
                end
                pos=find(distance<mindistance_coast); distance(pos)=mindistance_coast;
                
                pos2=find(md.mask.ocean_levelset~=1 & distance>mindistance_land); 
                distance(pos2)=mindistance_land; 

                dist=min(maxdistance,distance); 
                md.mesh=gmshplanet('radius',radius*1e-3,'resolution',resolution*1e-3,'refine',md.mesh,'refinemetric',dist);

        end

        md.mask.ocean_levelset=gmtmask(md.mesh.lat,md.mesh.long); 

        save ./Models/SlrFarrell_Mesh md;
        
        plotmodel (md,'data',md.mask.ocean_levelset,'edgecolor','k');

end 

if any(steps==2) 
        disp('   Step 2: Define source as in Farrell, 1972, Figure 1');
        md = loadmodel('./Models/SlrFarrell_Mesh');

        md.slr.sealevel=md.mask.ocean_levelset; % 1 m SLR everywhere 
        
        md.slr.deltathickness=zeros(md.mesh.numberofelements,1);
        md.slr.steric_rate=zeros(md.mesh.numberofvertices,1);

        save ./Models/SlrFarrell_Loads md; 
        
        plotmodel (md,'data',md.slr.sealevel,'view',[90 90],'title#all','Initial sea-level [m]');

end 

if any(steps==3) 
        disp('   Step 3: Parameterization');
        md = loadmodel('./Models/SlrFarrell_Loads');

        nlove=10001;    
        md.slr.love_h = love_numbers('h','CM'); md.slr.love_h(nlove+1:end)=[];
        md.slr.love_k = love_numbers('k','CM'); md.slr.love_k(nlove+1:end)=[];
        md.slr.love_l = love_numbers('l','CM'); md.slr.love_l(nlove+1:end)=[];

        md.mask.land_levelset = 1-md.mask.ocean_levelset; 
        md.mask.ice_levelset = ones(md.mesh.numberofvertices,1); 
        md.mask.groundedice_levelset = -ones(md.mesh.numberofvertices,1); 
        pos=find(md.mesh.lat <-80);
        md.mask.ice_levelset(pos(1))=-1; % ice yes!  
        md.mask.groundedice_levelset(pos(1))=1; % ice grounded!  

        di=md.materials.rho_ice/md.materials.rho_water;
        md.geometry.thickness=ones(md.mesh.numberofvertices,1);
        md.geometry.surface=(1-di)*zeros(md.mesh.numberofvertices,1);
        md.geometry.base=md.geometry.surface-md.geometry.thickness;
        md.geometry.bed=md.geometry.base;
        
        md.initialization.temperature=273.25*ones(md.mesh.numberofvertices,1);
        md.materials.rheology_B=paterson(md.initialization.temperature);
        md.materials.rheology_n=3*ones(md.mesh.numberofelements,1);
        
        md.miscellaneous.name='SlrFarrell';
        
        save ./Models/SlrFarrell_Parameterization md; 

end 

if any(steps==4) 
        disp('   Step 4: Solve Slr solver');
        md = loadmodel('./Models/SlrFarrell_Parameterization');

        md.cluster=generic('name',oshostname(),'np',3); 
        md.verbose=verbose('111111111');

        md.slr.reltol = 0.1/100; % per cent change in solution 

        md=solve(md,'Slr');

        save ./Models/SlrFarrell_Solution md; 

end 

if any(steps==5) 
        disp('   Step 5: Plot solutions');
        md = loadmodel('./Models/SlrFarrell_Solution');

        sol = md.results.SealevelriseSolution.Sealevel*100; % per cent normalized by GMSL (which 1 m)  

        res = 1; % [degree]

        [lat_grid, lon_grid] = meshgrid(linspace(-90,90,180/res), linspace(-180,180,360/res));
        sol_grid = zeros(size(lat_grid)); 

        F = scatteredInterpolant(md.mesh.lat,md.mesh.long,sol); 
        F.Method = 'linear'; 
        F.ExtrapolationMethod = 'linear'; 
        
        sol_grid = F(lat_grid, lon_grid);
        sol_grid(isnan(sol_grid))=0; 
        sol_grid(lat_grid>85 & sol_grid==0) =NaN; 

        set(0,'DefaultAxesFontSize',18,'DefaultAxesLineWidth',1,'DefaultTextFontSize',18,'DefaultLineMarkerSize',8)
        figure1=figure('Position', [100, 100, 1000, 500]); 
        gcf; load coast; cla; 
        pcolor(lon_grid,lat_grid,sol_grid); shading flat; hold on;
        [C,h]=contour(lon_grid,lat_grid,sol_grid,[96 98 100 102 104 105],'-k','linewidth',2);
        clabel(C,h,'FontSize',18,'Color','red','LabelSpacing',500); 
        geoshow(lat,long,'DisplayType','polygon','FaceColor',[.82 .82 .82]); 
        plot(long,lat,'k'); hold off; 
        c1=colorbar;
        colormap(flipud(haxby)); 
        caxis([96 105]); 
        xlim([-170 170]); 
        ylim([-85 85]); 
        grid on; 
        title('Relative sea-level [% of GMSL]'); 
        set(gcf,'color','w');
        %export_fig('Fig5.pdf'); 

end