tnl-run-heat-equation

#!/bin/bash

dofSize=128
dimension=1;
proportions=1

analyticFunction="sin-wave"
timeFunction="cosinus"

amplitude=1.0
waveLength=1.0
waveLengthX=1.0
waveLengthY=1.0
waveLengthZ=1.0
wavesNumber=0.0
wavesNumberX=0.0
wavesNumberY=0.0
wavesNumberZ=0.0
phase=0.0
phaseX=0.0
phaseY=0.0
phaseZ=0.0
sigma=1.0

tnl-grid-setup --dimensions ${dimension} \
               --proportions-x ${proportions} \
               --proportions-y ${proportions} \
               --proportions-z ${proportions} \
               --origin-x 0 \
               --origin-y 0 \
               --origin-z 0 \
               --size-x ${dofSize} \
               --size-y ${dofSize} \
               --size-z ${dofSize} \
               
tnl-init --mesh mesh.tnl \
             --function ${analyticFunction} \
             --output-file u-ini.tnl \
             --amplitude ${amplitude} \
             --wave-length ${waveLength} \
             --wave-length-x ${waveLengthX} \
             --wave-length-y ${waveLengthY} \
             --wave-length-z ${waveLengthZ} \
             --waves-number ${wavesNumber} \
             --waves-number-x ${wavesNumberX} \
             --waves-number-y ${wavesNumberY} \
             --waves-number-z ${wavesNumberZ} \
             --phase ${phase} \
             --phase-x ${phaseX} \
             --phase-y ${phaseY} \
             --phase-z ${phaseZ} \
             --sigma ${sigma} \

./heat-equation --dimensions ${dimension} \
                --time-discretisation explicit \
                --discrete-solver merson \
                --time-function ${timeFunction}\
                --analytic-space-function ${analyticFunction}\
                --amplitude ${amplitude} \
                --wave-length ${waveLength} \
                --wave-length-x ${waveLengthX} \
                --wave-length-y ${waveLengthY} \
                --wave-length-z ${waveLengthZ} \
                --waves-number ${wavesNumber} \
                --waves-number-x ${wavesNumberX} \
                --waves-number-y ${wavesNumberY} \
                --waves-number-z ${wavesNumberZ} \
                --phase ${phase} \
                --phase-x ${phaseX} \
                --phase-y ${phaseY} \
                --phase-z ${phaseZ} \
                --sigma ${sigma} \
                --snapshot-period 0.001 \
                --final-time 1.0 \
              
tnl-view --mesh mesh.tnl \
         --input-files *.tnl \ 

seznam=`ls numericalSolution-*.gplt`

for fname in $seznam ; do
gnuplot << EOF
    set terminal unknown
    #set view 33,33 #3D
    #unset xtics 
    #unset ytics
    #unset ztics
    unset border
    set output '$fname.png'
    plot 'numericalSolution-00000.gplt' with line 
    set yrange [-1.2:1.2]    
    set terminal png
    set title "Numerical solution" 
    plot '$fname' with line 
EOF
done


mencoder "mf://numericalSolution-*.png" -mf fps=22 -o DiffusionNumerical.avi -ovc lavc -lavcopts vcodec=mpeg4

seznam=`ls analyticSolution-*.gplt`

for fname in $seznam ; do
gnuplot << EOF
    set terminal unknown
    #set view 33,33 #3D
    #unset xtics 
    #unset ytics
    #unset ztics
    unset border
    set output '$fname.png'
    plot 'analyticSolution-00000.gplt' with line 
    set yrange [-1.2:1.2]    
    set terminal png
    set title "Analytic solution" 
    plot '$fname' with line 
EOF
done


mencoder "mf://analyticSolution-*.png" -mf fps=22 -o DiffusionAnalytic.avi -ovc lavc -lavcopts vcodec=mpeg4
      
rm *.png
rm *.tnl      
   
rm *.gplt