Plotting points from a 3D model onto a 2D graph

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Alun Owen
Alun Owen el 21 de Jul. de 2020
Respondida: Ravi Kumar el 21 de Jul. de 2020
How would I plot a 2D graph with data from a 3D model using the PDE toolbox? I have searched everywehre and cannot find an answer. Ideally, I'd like to have about 6 points going through my thermal model, showing temperature decreasing with time, and clearly display this on a 2D plot, where X = time and Y = Temperature. Below is the code used. I'd really appreciate some help as I've been trying to do this for a while now - there should be a clear way to do this as it seems like a basic thing to do.
gm = multicuboid([2 2.1 2.7 2.95 3.2 3.45 4],[2.1 2.2 2.7 2.95 3.2 3.45 4],1.55);
thermalmodel = createpde('thermal','transient');
thermalmodel.Geometry = gm
pdegplot(thermalmodel,'CellLabels','on','FaceAlpha',0.5);
figure('Position',[10,10,800,400]);
subplot(1,2,1)
pdegplot(thermalmodel,'FaceAlpha',0.25,'CellLabel','on')
title('Geometry with Cell Labels')
subplot(1,2,2)
pdegplot(thermalmodel,'FaceAlpha',0.25,'FaceLabel','on')
title('Geometry with Face Labels')
generateMesh(thermalmodel,'Hmax',1);
Water at 30 degrees C
thermalProperties(thermalmodel,'ThermalConductivity',0.616,'SpecificHeat',4184,'MassDensity',997,'Cell',1);
304 stainless steel
thermalProperties(thermalmodel,'ThermalConductivity',16.2,'SpecificHeat',500,'MassDensity',8000,'Cell',2);
Crushed sandstone
thermalProperties(thermalmodel,'ThermalConductivity',12.5,'SpecificHeat',758,'MassDensity',2569,'Cell',3);
Concrete
thermalProperties(thermalmodel,'ThermalConductivity',0.6,'SpecificHeat',880,'MassDensity',2400,'Cell',4);
Insulation
thermalProperties(thermalmodel,'ThermalConductivity',0.13,'SpecificHeat',2890,'MassDensity',900,'Cell',5);
Concrete
thermalProperties(thermalmodel,'ThermalConductivity',0.6,'SpecificHeat',880,'MassDensity',2400,'Cell',6);
Soil
thermalProperties(thermalmodel,'ThermalConductivity',2,'SpecificHeat',830,'MassDensity',1230,"Cell",7);
thermalBC(thermalmodel,'Face',[1 2 3 4 5 6],'Temperature',80);
thermalIC(thermalmodel,12,'Cell',7);
thermalIC(thermalmodel,20,'Cell',1);
thermalIC(thermalmodel,20,'Cell',[2 3 4 5 6]);
Average 1m temp is 12 degrees
generateMesh(thermalmodel);
tlist = 10:100:10000;
thermalresults = solve(thermalmodel,tlist);
pdeplot3D(thermalmodel,'ColorMapData',thermalresults.Temperature(:,end));

Respuesta aceptada

Ravi Kumar
Ravi Kumar el 21 de Jul. de 2020
You can interpolate the temperatures at (x,y) coorinates over time and plot them. Refer to interpolateTemperatue function.
Regards,
Ravi

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