Files
openfoam/tutorials/verificationAndValidation/atmosphericModels/atmForestStability/plot
Kutalmis Bercin 41e264f27d ENH: New atmospheric boundary layer (ABL) model suite (Part 1)
Please refer to the header file documentation for complete set of details.

  ENH: add new fvOptions for ABL modelling

    - atmAmbientTurbSource
    - atmBuoyancyTurbSource
    - atmCoriolisUSource
    - atmLengthScaleTurbSource
    - atmPlantCanopyTurbSource
    - atmPlantCanopyUSource
    - atmPlantCanopyTSource
    - atmNutSource

  ENH: add new boundary conditions for ABL modelling
       with PatchFunction1 and TimeFunction1 support

    - atmAlphatkWallFunction
    - atmEpsilonWallFunction
    - atmNutkWallFunction
    - atmNutUWallFunction
    - atmNutWallFunction
    - atmOmegaWallFunction
    - atmTurbulentHeatFluxTemperature

  STYLE: change names of nutkAtmRoughWallFunction -> atmNutkWallFunction by
         ensuring the bitwise backward compatibility

  ENH: add new variable-scaling force computation method to actuationDiskSource

  ENH: review actuationDiskSource and radialActuationDiskSource

  ENH: add new function object, ObukhovLength

  ENH: add new ABL tutorials/verifications

    - verificationAndValidation/atmosphericModels/atmFlatTerrain
      - verification with the Leipzig field experiment
      - illustration of precursor/successor field mapping
    - verificationAndValidation/atmosphericModels/atmForestStability
      - verification with the Sweden field experiment
    - update incompressible/simpleFoam/turbineSiting
2020-06-09 11:08:14 +01:00

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#!/bin/bash
cd "${0%/*}" || exit # Run from this directory
. ${WM_PROJECT_DIR:?}/bin/tools/RunFunctions # Tutorial run functions
#------------------------------------------------------------------------------
# Benchmark dataset:
# Arnqvist, J., Segalini, A., Dellwik, E., & Bergström, H. (2015).
# Wind statistics from a forested landscape.
# Boundary-Layer Meteorology, 156(1), 53-71.
# DOI:10.1007/s10546-015-0016-x
#------------------------------------------------------------------------------
# Simple linear interpolation on an ascending table
linearInterp() {
inpFile=$1
zRef=$2
yi=($(awk -v zRef="$zRef" '
BEGIN{
x1=0; y1=0;
x2=$1; y2=$2;
}
{
if((x1 < zRef) && (x2 < zRef) && (getline != 0))
{
x1=x2; y1=y2; x2=$1; y2=$2
}
}
END {
yi = (y2-y1)/(x2-x1)*(zRef-x1) + y1;
print yi
}
' $inpFile))
echo "$yi"
}
plotU() {
timeDir=$1
treeH=$2
zRef=$3
smple=$4
shift 4
declare -a inps=("${!1}")
echo " Plotting the ground-normal normalised "
echo " streamwise flow speed profile."
for i in "${!inps[@]}"
do
inp="results/${inps[$i]}/$timeDir/$smple"
echo $inp
# Store the ground-normal height
z=($(awk '{ printf "%.16f\n", $1 }' $inp))
# Compute velocity magnitude by excluding the ground-normal component
magU=($(awk '
{
mag = sqrt($2*$2 + $3*$3);
printf "%.16f\n", mag
}' $inp))
file="z-magU-$i.dat"
[ ! -f $file ] && for ((j = 0; j < "${#magU[@]}"; j++)) \
do printf "%.16f %.16f\n" "${z[$j]}" "${magU[$j]}" \
>> $file; done
# Find velocity magnitude at zRef height by linear interpolation
uRef=$(linearInterp "$file" "$zRef")
# Find z normalised by the reference tree height
zNorm=($(awk -v treeH="$treeH" '
{
zNorm = $1/treeH; printf "%.16f\n", zNorm
}' $file))
# Find U normalised by uRef
uNorm=($(awk -v uRef="$uRef" '
{
uNorm = $2/uRef; printf "%.16f\n", uNorm
}' $file))
fil="zNorm-uNorm-$i.dat"
[ ! -f $fil ] && for ((j = 0; j < "${#zNorm[@]}"; j++)) \
do printf "%.16f %.16f\n" "${zNorm[$j]}" "${uNorm[$j]}" \
>> $fil; done
done
outName="plots/uNorm-zNorm.png"
gnuplot<<PLT_U
set terminal pngcairo font "helvetica,20" size 1000, 800
set xrange [0:3.5]
set yrange [0:7]
set grid
set key bottom right
set key samplen 2
set key spacing 0.75
set xlabel "U/U_{ref} [-]"
set ylabel "z/z_{ref} [-]"
set offset .05, .05
set output "$outName"
veryStable="zNorm-uNorm-0.dat"
stable="zNorm-uNorm-1.dat"
slightlyStable="zNorm-uNorm-2.dat"
neutral="zNorm-uNorm-3.dat"
slightlyUnstable="zNorm-uNorm-4.dat"
unstable="zNorm-uNorm-5.dat"
bench="system/atm-Arnqvist-2015/uNorm-zNorm.dat"
plot \
bench every ::0::5 u ((\$1)/13.8953):2 t "Vs" w p ps 2 pt 6 lc rgb "#000000", \
bench every ::6::11 u ((\$1)/8.13953):2 t "S" w p ps 2 pt 5 lc rgb "#000000", \
bench every ::12::17 u ((\$1)/6.36047):2 t "Ss" w p ps 2 pt 4 lc rgb "#000000", \
bench every ::18::23 u ((\$1)/5.62791):2 t "N" w p ps 2 pt 3 lc rgb "#000000", \
bench every ::24::29 u ((\$1)/5.31395):2 t "Su" w p ps 2 pt 2 lc rgb "#000000", \
bench every ::30::35 u ((\$1)/5.06977):2 t "U" w p ps 2 pt 1 lc rgb "#000000", \
veryStable u 2:1 t "Very stable" w l lw 2 lc rgb "#009E73", \
stable u 2:1 t "Stable" w l lw 2 lc rgb "#F0E440", \
slightlyStable u 2:1 t "Slightly stable" w l lw 2 lc rgb "#0072B2", \
neutral u 2:1 t "Neutral" w l lw 2 lc rgb "#D55E00", \
slightlyUnstable u 2:1 t "Slightly unstable" w l lw 2 lc rgb "#CC79A7", \
unstable u 2:1 t "Unstable" w l lw 2 lc rgb "#440154"
PLT_U
rm -f {zNorm-uNorm-,z-magU-}*.dat
}
plotK() {
timeDir=$1
treeH=$2
zRef=$3
smple=$4
shift 4
declare -a inps=("${!1}")
echo " Plotting the ground-normal normalised "
echo " turbulent kinetic energy profile."
for i in "${!inps[@]}"
do
inp="results/${inps[$i]}/$timeDir/$smple"
echo $inp
# Store the ground-normal height profile
z=($(awk '{ printf "%.16f\n", $1 }' $inp))
# Store the turbulent kinetic energy profile
k=($(awk '{ printf "%.16f\n", $5 }' $inp))
file="z-k-$i.dat"
[ ! -f $file ] && for ((j = 0; j < "${#k[@]}"; j++)) \
do printf "%.16f %.16f\n" "${z[$j]}" "${k[$j]}" \
>> $file; done
# Find k at zRef height by linear interpolation
kRef=$(linearInterp "$file" "$zRef")
# Find z normalised by the reference tree height
zNorm=($(awk -v treeH="$treeH" '
{
zNorm = $1/treeH; printf "%.16f\n", zNorm
}' $file))
# Find k normalised by kRef
kNorm=($(awk -v kRef="$kRef" '
{
kNorm = $2/kRef; printf "%.16f\n", kNorm
}' $file))
fil="zNorm-kNorm-$i.dat"
[ ! -f $fil ] && for ((j = 0; j < "${#zNorm[@]}"; j++)) \
do printf "%.16f %.16f\n" "${zNorm[$j]}" "${kNorm[$j]}" \
>> $fil; done
done
outName="plots/kNorm-zNorm.png"
gnuplot<<PLT_K
set terminal pngcairo font "helvetica,20" size 1000, 800
set xrange [0:2]
set yrange [0:7]
set grid
set key bottom right
set key samplen 2
set key spacing 0.75
set xlabel "k/k_{ref} [-]"
set ylabel "z/z_{ref} [-]"
set offset .05, .05
set output "$outName"
veryStable="zNorm-kNorm-0.dat"
stable="zNorm-kNorm-1.dat"
slightlyStable="zNorm-kNorm-2.dat"
neutral="zNorm-kNorm-3.dat"
slightlyUnstable="zNorm-kNorm-4.dat"
unstable="zNorm-kNorm-5.dat"
bench="system/atm-Arnqvist-2015/kNorm-zNorm.dat"
plot \
bench every ::0::5 u ((\$1)/5.050476682):2 t "Vs" w p ps 2 pt 6 lc rgb "#000000", \
bench every ::6::11 u ((\$1)/4.24970097):2 t "S" w p ps 2 pt 5 lc rgb "#000000", \
bench every ::12::17 u ((\$1)/3.897762917):2 t "Ss" w p ps 2 pt 4 lc rgb "#000000", \
bench every ::18::23 u ((\$1)/3.788680963):2 t "N" w p ps 2 pt 3 lc rgb "#000000", \
bench every ::24::29 u ((\$1)/4.038160328):2 t "Su" w p ps 2 pt 2 lc rgb "#000000", \
bench every ::30::35 u ((\$1)/4.198358216):2 t "U" w p ps 2 pt 1 lc rgb "#000000", \
veryStable u 2:1 t "Very stable" w l lw 2 lc rgb "#009E73", \
stable u 2:1 t "Stable" w l lw 2 lc rgb "#F0E440", \
slightlyStable u 2:1 t "Slightly stable" w l lw 2 lc rgb "#0072B2", \
neutral u 2:1 t "Neutral" w l lw 2 lc rgb "#D55E00", \
slightlyUnstable u 2:1 t "Slightly unstable" w l lw 2 lc rgb "#CC79A7", \
unstable u 2:1 t "Unstable" w l lw 2 lc rgb "#440154"
PLT_K
rm -f {zNorm-kNorm-,z-k-}*.dat
}
printObukhovLength() {
timeDir=$1
treeH=$2
zRef=$3
smple=$4
shift 4
declare -a inps=("${!1}")
echo " Printing the Obukhov length at a given reference height."
for i in "${!inps[@]}"
do
inp="results/${inps[$i]}/$timeDir/$smple"
echo $inp
# Store the ground-normal height profile
z=($(awk '{ printf "%.16f\n", $1 }' $inp))
# Store the Obukhov length profile
OL=($(awk '{ printf "%.16f\n", $2 }' $inp))
file="z-OL-$i.dat"
[ ! -f $file ] && for ((j = 0; j < "${#OL[@]}"; j++)) \
do printf "%.16f %.16f\n" "${z[$j]}" "${OL[$j]}" \
>> $file; done
# Find the Obukhov length at zRef height by linear interpolation
OLRef=$(linearInterp "$file" "$zRef")
echo "${inps[$i]} = $OLRef" >> "plots/ObukhovLength.dat"
done
rm -f z-OL-*.dat
}
plotVeer() {
timeDir=$1
treeH=$2
zRef=$3
smple=$4
shift 4
declare -a inps=("${!1}")
echo " Plotting the ground-normal normalised veer profile."
for i in "${!inps[@]}"
do
inp="results/${inps[$i]}/$timeDir/$smple"
echo $inp
# Store the ground-normal height
z=($(awk '{ printf "%.16f\n", $1 }' $inp))
# Store streamwise and spanwise velocity components
u=($(awk '{ printf "%.16f\n", $2 }' $inp))
v=($(awk '{ printf "%.16f\n", $3 }' $inp))
fileu="z-u-$i.dat"
[ ! -f $fileu ] && for ((j = 0; j < "${#z[@]}"; j++)) \
do printf "%.16f %.16f\n" "${z[$j]}" "${u[$j]}" \
>> $fileu; done
filev="z-v-$i.dat"
[ ! -f $filev ] && for ((j = 0; j < "${#z[@]}"; j++)) \
do printf "%.16f %.16f\n" "${z[$j]}" "${v[$j]}" \
>> $filev; done
# Find u and v at zRef height by linear interpolation
uRef=$(linearInterp "$fileu" "$zRef")
vRef=$(linearInterp "$filev" "$zRef")
# Find z normalised by the reference tree height
zNorm=($(awk -v treeH="$treeH" '
{
zNorm = $1/treeH; printf "%.16f\n", zNorm
}' $fileu))
# Find veer
veer=($(awk -v uRef="$uRef" -v vRef="$vRef" '
{
x = $2/sqrt($2*$2 + $3*$3);
xR = uRef/sqrt(uRef*uRef + vRef*vRef);
veer = -1*(atan2(sqrt(1 - x*x), x) - atan2(sqrt(1 - xR*xR), xR))*180/atan2(0, -1);
printf "%.16f\n", veer
}' $inp))
fil="zNorm-veer-$i.dat"
[ ! -f $fil ] && for ((j = 0; j < "${#zNorm[@]}"; j++)) \
do printf "%.16f %.16f\n" "${zNorm[$j]}" "${veer[$j]}" \
>> $fil; done
done
outName="plots/veer-zNorm.png"
gnuplot<<PLT_VEER
set terminal pngcairo font "helvetica,20" size 1000, 800
set xrange [-5:20]
set yrange [0:7]
set grid
set key bottom right
set key samplen 2
set key spacing 0.75
set xlabel "alpha/alpha_{ref} [-]"
set ylabel "z/z_{ref} [-]"
set offset .05, .05
set output "$outName"
veryStable="zNorm-veer-0.dat"
stable="zNorm-veer-1.dat"
slightlyStable="zNorm-veer-2.dat"
neutral="zNorm-veer-3.dat"
slightlyUnstable="zNorm-veer-4.dat"
unstable="zNorm-veer-5.dat"
bench="system/atm-Arnqvist-2015/veer-zNorm.dat"
plot \
bench every ::0::5 u 1:2 t "Vs" w p ps 2 pt 6 lc rgb "#000000", \
bench every ::6::11 u 1:2 t "S" w p ps 2 pt 5 lc rgb "#000000", \
bench every ::12::17 u 1:2 t "Ss" w p ps 2 pt 4 lc rgb "#000000", \
bench every ::18::23 u 1:2 t "N" w p ps 2 pt 3 lc rgb "#000000", \
bench every ::24::29 u 1:2 t "Su" w p ps 2 pt 2 lc rgb "#000000", \
bench every ::30::35 u 1:2 t "U" w p ps 2 pt 1 lc rgb "#000000", \
veryStable u 2:1 t "Very stable" w l lw 2 lc rgb "#009E73", \
stable u 2:1 t "Stable" w l lw 2 lc rgb "#F0E440", \
slightlyStable u 2:1 t "Slightly stable" w l lw 2 lc rgb "#0072B2", \
neutral u 2:1 t "Neutral" w l lw 2 lc rgb "#D55E00", \
slightlyUnstable u 2:1 t "Slightly unstable" w l lw 2 lc rgb "#CC79A7", \
unstable u 2:1 t "Unstable" w l lw 2 lc rgb "#440154"
PLT_VEER
rm -f {zNorm-veer-,z-u-,z-v-}*.dat
}
#------------------------------------------------------------------------------
# Requires gnuplot
command -v gnuplot >/dev/null || {
echo "gnuplot not found - skipping graph creation" 1>&2
exit 1
}
# Requires awk
command -v awk >/dev/null || {
echo "awk not found - skipping graph creation" 1>&2
exit 1
}
# The latestTime in postProcessing/samples
timeDir=$(foamListTimes -case results/veryStable/postProcessing/samples \
-latestTime 2>/dev/null)
[ -n "$timeDir" ] || {
echo "No results found in postProcessing - skipping graph creation" 1>&2
exit 1
}
timeDir="postProcessing/samples/$timeDir"
# Settings
declare -a stability
stability[0]="veryStable"
stability[1]="stable"
stability[2]="slightlyStable"
stability[3]="neutral"
stability[4]="slightlyUnstable"
stability[5]="unstable"
sample1="lineZ1_U.xy"
sample2="lineZ1_ObukhovLength_T_Ustar_k_p_rgh.xy"
treeHeight=20
zRef=40
# Postprocessing
mkdir -p plots
plotU $timeDir $treeHeight $zRef $sample1 stability[@]
plotK $timeDir $treeHeight $zRef $sample2 stability[@]
printObukhovLength $timeDir $treeHeight $zRef $sample2 stability[@]
plotVeer $timeDir $treeHeight $zRef $sample1 stability[@]
#------------------------------------------------------------------------------