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@ -4,5 +4,3 @@ vlaplex
*.mod *.mod
*.o *.o
*.tar.gz *.tar.gz
obj/
mod/

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AUTHORS
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# This is the list of VlaPlEx's contributors.
Jorge Gonzalez
Jop Hendrikx

674
COPYING
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notice like this when it starts in an interactive mode:
<program> Copyright (C) <year> <name of author>
This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
This is free software, and you are welcome to redistribute it
under certain conditions; type `show c' for details.
The hypothetical commands `show w' and `show c' should show the appropriate
parts of the General Public License. Of course, your program's commands
might be different; for a GUI interface, you would use an "about box".
You should also get your employer (if you work as a programmer) or school,
if any, to sign a "copyright disclaimer" for the program, if necessary.
For more information on this, and how to apply and follow the GNU GPL, see
<https://www.gnu.org/licenses/>.
The GNU General Public License does not permit incorporating your program
into proprietary programs. If your program is a subroutine library, you
may consider it more useful to permit linking proprietary applications with
the library. If this is what you want to do, use the GNU Lesser General
Public License instead of this License. But first, please read
<https://www.gnu.org/licenses/why-not-lgpl.html>.

12
README.md
View file

@ -5,15 +5,3 @@ It solves the Vlasov equation for ions in a 1D spherical domain.
Electrons are treated as a fluid either isothermal (Boltzmann) or polytropic. Electrons are treated as a fluid either isothermal (Boltzmann) or polytropic.
Self-consistent electric field is solved using a Newton-Raphson method to solve the Poisson equation. Self-consistent electric field is solved using a Newton-Raphson method to solve the Poisson equation.
A 2D table linking T_e, n_e and the average Z must be provided. Examples can be found in 'data/TNZ'.
Input files for different cases are in the 'input' folder.
Files with the boundary conditions are provided in 'data/boundary'.
Input files must specify which TNZ table and boundary file are using.
To run the code execute
./vlaplex <path-to-input-file>

0
data/boundary/bc_80ns_T10.csv → bc_80ns_T10.csv
View file

0
data/boundary/bc_80ns_T30.csv → bc_80ns_T30.csv
View file

0
data/boundary/bc_80ns_T6.csv → bc_80ns_T6.csv
View file

0
data/boundary/bc_80ns_T60.csv → bc_80ns_T60.csv
View file

0
data/boundary/bc_fa_T30.csv → bc_fa_T30.csv
View file

43
input/input_80ns_T10.nml
View file

@ -1,43 +0,0 @@
&reference
m_ref = 1.9712258e-25 ! Ion mass [kg]
Temp_ref = 30.0 ! Plasma temperature [eV]
n_ref = 1.0e24 ! Plasma density [m^-3]
/
&grid
r0 = 10.0e-6 ! Initial position [m]
rf = 2.0e-3 ! Final position [m]
dr = 1.0e-6 ! Spatial step [m]
v0 = -50e3 ! Lower limit for velocity space [m s^-1]
vf = 250e3 ! Upper limit for velocity space [m s^-1]
nv = 401 ! Number of grid points in the velocity space
/
&output
folder = 'polytropic_80ns_T10' ! Folder name
outputStep = 1e-9 ! Time step for file write [s]
/
&time
t0 = 0.0 ! Initial time [s]
tf = 2.0e-7 ! Final time [s]
cfl = 0.2 ! CFL condition (dt = CFL * dr / vf)
/
&detector
rCum = 1.0e-3 ! Position of the detector [m]
/
&boundary
filename = 'data/boundary/bc_80ns_T10.csv' ! File for boundary value
/
&Zbins
filename = 'data/TNZ/Sn.csv' ! File with table to get Z from Te and ne
ZList = 0.1, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0 ! Bins of average Z
/
&parallel
nThreads = 16 ! Number of threads for OpenMP
/

43
input/input_80ns_T30.nml
View file

@ -1,43 +0,0 @@
&reference
m_ref = 1.9712258e-25 ! Ion mass [kg]
Temp_ref = 30.0 ! Plasma temperature [eV]
n_ref = 1.0e24 ! Plasma density [m^-3]
/
&grid
r0 = 10.0e-6 ! Initial position [m]
rf = 2.0e-3 ! Final position [m]
dr = 1.0e-6 ! Spatial step [m]
v0 = -50e3 ! Lower limit for velocity space [m s^-1]
vf = 250e3 ! Upper limit for velocity space [m s^-1]
nv = 401 ! Number of grid points in the velocity space
/
&output
folder = 'polytropic_80ns_T30' ! Folder name
outputStep = 1e-9 ! Time step for file write [s]
/
&time
t0 = 0.0 ! Initial time [s]
tf = 2.0e-7 ! Final time [s]
cfl = 0.2 ! CFL condition (dt = CFL * dr / vf)
/
&detector
rCum = 1.0e-3 ! Position of the detector [m]
/
&boundary
filename = 'data/boundary/bc_80ns_T30.csv' ! File for boundary value
/
&Zbins
filename = 'data/TNZ/Sn.csv' ! File with table to get Z from Te and ne
ZList = 0.1, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0 ! Bins of average Z
/
&parallel
nThreads = 16 ! Number of threads for OpenMP
/

43
input/input_80ns_T6.nml
View file

@ -1,43 +0,0 @@
&reference
m_ref = 1.9712258e-25 ! Ion mass [kg]
Temp_ref = 30.0 ! Plasma temperature [eV]
n_ref = 1.0e24 ! Plasma density [m^-3]
/
&grid
r0 = 10.0e-6 ! Initial position [m]
rf = 2.0e-3 ! Final position [m]
dr = 1.0e-6 ! Spatial step [m]
v0 = -50e3 ! Lower limit for velocity space [m s^-1]
vf = 250e3 ! Upper limit for velocity space [m s^-1]
nv = 401 ! Number of grid points in the velocity space
/
&output
folder = 'polytropic_80ns_T6' ! Folder name
outputStep = 1e-9 ! Time step for file write [s]
/
&time
t0 = 0.0 ! Initial time [s]
tf = 2.0e-7 ! Final time [s]
cfl = 0.2 ! CFL condition (dt = CFL * dr / vf)
/
&detector
rCum = 1.0e-3 ! Position of the detector [m]
/
&boundary
filename = 'data/boundary/bc_80ns_T6.csv' ! File for boundary value
/
&Zbins
filename = 'data/TNZ/Sn.csv' ! File with table to get Z from Te and ne
ZList = 0.1, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0 ! Bins of average Z
/
&parallel
nThreads = 16 ! Number of threads for OpenMP
/

43
input/input_80ns_T60.nml
View file

@ -1,43 +0,0 @@
&reference
m_ref = 1.9712258e-25 ! Ion mass [kg]
Temp_ref = 30.0 ! Plasma temperature [eV]
n_ref = 1.0e24 ! Plasma density [m^-3]
/
&grid
r0 = 10.0e-6 ! Initial position [m]
rf = 2.0e-3 ! Final position [m]
dr = 1.0e-6 ! Spatial step [m]
v0 = -50e3 ! Lower limit for velocity space [m s^-1]
vf = 250e3 ! Upper limit for velocity space [m s^-1]
nv = 401 ! Number of grid points in the velocity space
/
&output
folder = 'polytropic_80ns_T60' ! Folder name
outputStep = 1e-9 ! Time step for file write [s]
/
&time
t0 = 0.0 ! Initial time [s]
tf = 2.0e-7 ! Final time [s]
cfl = 0.2 ! CFL condition (dt = CFL * dr / vf)
/
&detector
rCum = 1.0e-3 ! Position of the detector [m]
/
&boundary
filename = 'data/boundary/bc_80ns_T60.csv' ! File for boundary value
/
&Zbins
filename = 'data/TNZ/Sn.csv' ! File with table to get Z from Te and ne
ZList = 0.1, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0 ! Bins of average Z
/
&parallel
nThreads = 16 ! Number of threads for OpenMP
/

43
input/input_fa_T30.nml
View file

@ -1,43 +0,0 @@
&reference
m_ref = 1.9712258e-25 ! Ion mass [kg]
Temp_ref = 30.0 ! Plasma temperature [eV]
n_ref = 1.0e24 ! Plasma density [m^-3]
/
&grid
r0 = 10.0e-6 ! Initial position [m]
rf = 2.0e-3 ! Final position [m]
dr = 1.0e-6 ! Spatial step [m]
v0 = -50e3 ! Lower limit for velocity space [m s^-1]
vf = 250e3 ! Upper limit for velocity space [m s^-1]
nv = 401 ! Number of grid points in the velocity space
/
&output
folder = 'polytropic_fa_T30' ! Folder name
outputStep = 1e-9 ! Time step for file write [s]
/
&time
t0 = 0.0 ! Initial time [s]
tf = 2.0e-7 ! Final time [s]
cfl = 0.2 ! CFL condition (dt = CFL * dr / vf)
/
&detector
rCum = 1.0e-3 ! Position of the detector [m]
/
&boundary
filename = 'data/boundary/bc_fa_T30.csv' ! File for boundary value
/
&Zbins
filename = 'data/TNZ/Sn.csv' ! File with table to get Z from Te and ne
ZList = 0.1, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0 ! Bins of average Z
/
&parallel
nThreads = 16 ! Number of threads for OpenMP
/

44
makefile
View file

@ -1,33 +1,15 @@
# set folders all:
TOPDIR = $(PWD)# top directory gfortran moduleConstantParameters.f90 -c -lopenblas -Ofast -fopenmp -Wall
MODDIR := $(TOPDIR)/mod# module folder gfortran moduleReferenceValues.f90 -c -lopenblas -Ofast -fopenmp -Wall
OBJDIR := $(TOPDIR)/obj# object folder gfortran moduleOutput.f90 -c -lopenblas -Ofast -fopenmp -Wall
SRCDIR := $(TOPDIR)/src# source folder gfortran moduleTableBC.f90 -c -lopenblas -Ofast -fopenmp -Wall
gfortran moduleTableTtoZ.f90 -c -lopenblas -Ofast -fopenmp -Wall
# compiler gfortran moduleTableTtoZne.f90 -c -lopenblas -Ofast -fopenmp -Wall
# gfortran: gfortran vlaplex.f90 moduleConstantParameters.o moduleReferenceValues.o moduleOutput.o moduleTableBC.o moduleTableTtoZ.o moduleTableTtoZne.o -lopenblas -Ofast -fopenmp -Wall -o vlaplex
FC := gfortran
# compiler flags
# gfortran:
FCFLAGS := -fopenmp -Ofast -g -J $(MODDIR) -Wall -march=native
#Output file
OUTPUT = vlaplex
export
all: $(OUTPUT)
$(OUTPUT): src.o
src.o:
@mkdir -p $(MODDIR)
@mkdir -p $(OBJDIR)
$(MAKE) -C src $(OUTPUT)
clean: clean:
rm -f $(OUTPUT) rm -f vlaplex
rm -f $(MODDIR)/*.mod rm -f *.mod
rm -f $(MODDIR)/*.smod rm -f *.smod
rm -f $(OBJDIR)/*.o rm -f *.o

0
src/modules/constantParameters.f90 → moduleConstantParameters.f90
View file

10
src/modules/output.f90 → moduleOutput.f90
View file

@ -37,17 +37,15 @@ module output
end function setZFormat end function setZFormat
subroutine createPath(folder) subroutine createPath()
character(8) :: date_now character(8) :: date_now
character(10):: time_now character(10) :: time_now
character(:), allocatable:: folder
call date_and_time(date_now, time_now) call date_and_time(date_now, time_now)
!Compose the folder name !Compose the folder name
pathOutput = date_now(1:4) // '-' // date_now(5:6) // '-' // date_now(7:8) // '_' // & pathOutput = date_now(1:4) // '-' // date_now(5:6) // '-' // date_now(7:8) // '_' // &
time_now(1:2) // '.' // time_now(3:4) // '.' // time_now(5:6) // '_' // & time_now(1:2) // '.' // time_now(3:4) // '.' // time_now(5:6) // '/'
folder // '/'
call system('mkdir ' // pathOutput) call system('mkdir ' // pathOutput)

1
src/modules/referenceValues.f90 → moduleReferenceValues.f90
View file

@ -2,7 +2,6 @@ module referenceValues
use constantParameters, only: dp use constantParameters, only: dp
implicit none implicit none
real(dp):: m_ref ! Reference values
real(dp):: L_ref, t_ref, n_ref, u_ref, Temp_ref ! Reference values real(dp):: L_ref, t_ref, n_ref, u_ref, Temp_ref ! Reference values
real(dp):: phi_ref ! Reference values real(dp):: phi_ref ! Reference values

6
src/modules/tableBoundary.f90 → moduleTableBC.f90
View file

@ -1,4 +1,4 @@
module tableBoundary module moduleTableBC
use constantParameters, only: dp use constantParameters, only: dp
type:: tableBC type:: tableBC
@ -61,7 +61,7 @@ module tableBoundary
read(id, *) ! Skip header read(id, *) ! Skip header
do do
read(id, '(A)', iostat = stat) dummy read(id, '(A)', iostat = stat) dummy
!TODO: Make this a function !TOdo: Make this a function
if (stat /= 0) EXIT if (stat /= 0) EXIT
!Add data !Add data
!TODO: substitute with extracting information from dummy !TODO: substitute with extracting information from dummy
@ -132,5 +132,5 @@ module tableBoundary
end subroutine getValueTableBC end subroutine getValueTableBC
end module tableBoundary end module moduleTableBC

116
moduleTableTtoZ.f90 Normal file
View file

@ -0,0 +1,116 @@
module moduleTableTtoZ
use constantParameters, only: dp
type:: tableTtoZ
real(dp):: Z_min, Z_max
real(dp):: Temp_min, Temp_max
real(dp), allocatable, dimension(:):: Temp
real(dp), allocatable, dimension(:):: Z
real(dp), allocatable, dimension(:):: Z_k
contains
procedure, pass:: init => initTableTtoZ
procedure, pass:: get => getValueTableTtoZ
end type tableTtoZ
contains
subroutine initTableTtoZ(self, tableFile)
use constantParameters, only: eV_to_K
use referenceValues, only: Temp_ref
implicit none
class(tableTtoZ), intent(inout):: self
character(:), allocatable, intent(in):: tableFile
character(100):: dummy
integer:: amount
integer:: i
integer:: stat
integer:: id = 20
open(id, file = tableFile)
amount = -1 ! Remove header
do
read(id, '(A)', iostat = stat) dummy
!If EOF or error, exit file
if (stat /= 0) EXIT
! !Skip comment
! if (index(dummy,'#') /= 0) CYCLE
!Add row
amount = amount + 1
end do
!Go bback to initial point
rewind(id)
!Allocate table arrays
allocate(self%Temp(1:amount))
allocate(self%Z(1:amount))
allocate(self%Z_k(1:amount))
self%Temp = 0.0_dp
self%Z = 0.0_dp
self%Z_k = 0.0_dp
i = 0
read(id, *) ! Skip header
do
read(id, '(A)', iostat = stat) dummy
!TOdo: Make this a function
if (stat /= 0) EXIT
!Add data
!TODO: substitute with extracting information from dummy
backspace(id)
i = i + 1
read(id, *) self%Temp(i), self%Z(i)
end do
self%Temp = self%Temp * eV_to_K / Temp_ref
close(id)
self%Temp_min = self%Temp(1)
self%Temp_max = self%Temp(amount)
self%Z_min = self%Z(1)
self%Z_max = self%Z(amount)
do i = 1, amount - 1
self%Z_k(i) = ( self%Z(i+1) - self%Z(i))/(self%Temp(i+1) - self%Temp(i))
end do
end subroutine initTableTtoZ
subroutine getValueTableTtoZ(self, Temp, Z)
implicit none
class(tableTtoZ), intent(in):: self
real(dp), intent(in):: Temp
real(dp), intent(out):: Z
real(dp):: delta_Temp
integer:: i
if (Temp <= self%Temp_min) THEN
Z = self%Z_min
elseif (Temp >= self%Temp_max) THEN
Z = self%Z_max
else
i = minloc(abs(Temp - self%Temp), 1)
delta_Temp = Temp - self%Temp(i)
if (delta_Temp < 0 ) THEN
i = i - 1
delta_Temp = Temp - self%Temp(i)
end if
Z = self%Z(i) + self%Z_k(i)*delta_Temp
end if
end subroutine getValueTableTtoZ
end module moduleTableTtoZ

19
src/modules/tableTNZ.f90 → moduleTableTtoZne.f90
View file

@ -1,7 +1,7 @@
module tableTNZ module moduleTableTtoZne
use constantParameters, only: dp use constantParameters, only: dp
type:: tableTn_to_Z type:: tableTtoZne
real(dp) :: Z_min, Z_max real(dp) :: Z_min, Z_max
real(dp) :: Temp_min, Temp_max real(dp) :: Temp_min, Temp_max
real(dp), allocatable, dimension(:):: Temp real(dp), allocatable, dimension(:):: Temp
@ -12,7 +12,7 @@ module tableTNZ
procedure, pass:: init => initTableTtoZne procedure, pass:: init => initTableTtoZne
procedure, pass:: get => getValueTableTtoZne procedure, pass:: get => getValueTableTtoZne
end type tableTn_to_Z end type tableTtoZne
contains contains
subroutine initTableTtoZne(self, tableFile) subroutine initTableTtoZne(self, tableFile)
@ -20,7 +20,7 @@ module tableTNZ
use referenceValues, only: Temp_ref, n_ref use referenceValues, only: Temp_ref, n_ref
implicit none implicit none
class(tableTn_to_Z), intent(inout):: self class(tableTtoZne), intent(inout):: self
character(:), allocatable, intent(in):: tableFile character(:), allocatable, intent(in):: tableFile
character(100):: dummy character(100):: dummy
character(len=512) :: line character(len=512) :: line
@ -31,13 +31,6 @@ module tableTNZ
integer:: id = 20 integer:: id = 20
num_ne = 0 num_ne = 0
inquire(file=tableFile, iostat=stat)
if (stat /= 0) then
write (*, '("Error: TNZ table file ", a, " does not exist")') tableFile
return
end if
open(id, file = tableFile) open(id, file = tableFile)
amount = -1 ! Remove header amount = -1 ! Remove header
do do
@ -117,7 +110,7 @@ module tableTNZ
subroutine getValueTableTtoZne(self, Temp, ne, Z) subroutine getValueTableTtoZne(self, Temp, ne, Z)
implicit none implicit none
class(tableTn_to_Z), intent(in):: self class(tableTtoZne), intent(in):: self
real(dp), intent(in):: Temp, ne real(dp), intent(in):: Temp, ne
real(dp), intent(out):: Z real(dp), intent(out):: Z
real(dp):: delta_Temp real(dp):: delta_Temp
@ -151,5 +144,5 @@ module tableTNZ
end module tableTNZ end module moduleTableTtoZne

4
scripts_python/plotBC.py
View file

@ -4,7 +4,7 @@ import numpy as np
import readBC import readBC
paths = ['../2025-04-15_13.33.28/'] paths = ['../2025-04-10_08.40.09/']
time, n_i, u_i, T_i, Zinj, Z_Tne = readBC.read(paths[0] + 'bc.csv') time, n_i, u_i, T_i, Zinj, Z_Tne = readBC.read(paths[0] + 'bc.csv')
fig, ax = plt.subplots() fig, ax = plt.subplots()
@ -14,7 +14,7 @@ n_e = n_i * Zinj
plt.plot(time, n_e / n_e[0], label = f"$n_e$ ($\\times {n_e[0] * 1e-6:.0e} \\; cm^{{-3}})$") plt.plot(time, n_e / n_e[0], label = f"$n_e$ ($\\times {n_e[0] * 1e-6:.0e} \\; cm^{{-3}})$")
plt.plot(time, T_i / T_i[0], label = f"$T \\; (\\times{T_i[0]:.1f} \\; eV)$") plt.plot(time, T_i / T_i[0], label = f"$T \\; (\\times{T_i[0]:.1f} \\; eV)$")
plt.plot(time, Zinj, label = "Zinj") plt.plot(time, Zinj, label = "Zinj")
# plt.plot(time, Z_Tne, label = "Z_Tne") plt.plot(time, Z_Tne, label = "Z_Tne")
plt.semilogy() plt.semilogy()
plt.legend() plt.legend()
plt.show() plt.show()

15
scripts_python/plotCumF.py
View file

@ -16,30 +16,27 @@ m_i = 1.9712e-25
# paths = ['../2024-12-10_18.45.17/', '../Poisson_50ns_T30Z11/'] # paths = ['../2024-12-10_18.45.17/', '../Poisson_50ns_T30Z11/']
# paths = ['../2024-12-11_12.38.27/', '../Poisson_polytropic_fa_T30Z11/', '../Poisson_fa_T30Z11/'] # paths = ['../2024-12-11_12.38.27/', '../Poisson_polytropic_fa_T30Z11/', '../Poisson_fa_T30Z11/']
# paths = ['../Poisson_partialAblation/','../Poisson_partialAblation_lowerT/','../Poisson_partialAblation_lowT/','../Poisson_partialAblation_highT/'] # paths = ['../Poisson_partialAblation/','../Poisson_partialAblation_lowerT/','../Poisson_partialAblation_lowT/','../Poisson_partialAblation_highT/']
paths = ['../2025-04-17_14.39.34/'] paths = ['../polytropic_80ns_T30/']
labels = [path[3:-1] for path in paths] labels = [path[3:-1] for path in paths]
m2s2_to_eV = m_i*0.5/e
for path, label in zip(paths, labels): for path, label in zip(paths, labels):
Zlist = readZlist.read(path+'ZList.csv') Zlist = readZlist.read(path+'ZList.csv')
filesCum_i = sorted(glob.glob(path+'time_*_fCum_i.csv')) filesCum_i = sorted(glob.glob(path+'time_*_fCum_i.csv'))
_, _, v, _ = readF.read(filesCum_i[-1]) _, _, v, _ = readF.read(filesCum_i[-1])
sumF = np.zeros(len(v)) sumF = np.zeros(len(v))
E = v**2*m2s2_to_eV
for Z in Zlist: for Z in Zlist:
filename='time_*_Z_{:.1f}_fCum_i.csv'.format(Z) filename='time_*_Z_{:.1f}_fCum_i.csv'.format(Z)
filesCum_i = sorted(glob.glob(path+filename)) filesCum_i = sorted(glob.glob(path+filename))
time, rCum, v, f_i = readF.read(filesCum_i[-1]) time, x, v, f_i = readF.read(filesCum_i[-1])
sumF += f_i[0] sumF += f_i[0]
plt.plot(E, 4.0*np.pi*rCum[0]**2*f_i[0]/E, label=Z) plt.plot(v**2*m_i*0.5/e, f_i[0]*e/m_i/v, label=Z)
plt.plot(E, 4.0*np.pi*rCum[0]**2*sumF/E, label='sum', color='k', linestyle='dashed')
print(time) print(time)
plt.plot(v**2*m_i*0.5/e, sumF*e/m_i/v, label='sum', color='k', linestyle='dashed')
plt.yscale('log') plt.yscale('log')
plt.ylim([1e8,5e11]) plt.ylim([1e16,5e27])
plt.ylabel('dN / dE (eV^-1)') plt.ylabel('Sum f(e) / sqrt(e) (m^-3 eV^-1)')
plt.xscale('log') plt.xscale('log')
plt.xlim([1e0,1e4]) plt.xlim([1e0,1e4])
plt.xlabel('e (eV)') plt.xlabel('e (eV)')

6
scripts_python/plotMom.py
View file

@ -12,8 +12,7 @@ from scipy.constants import e, k
# paths = ['../quasiNeutral_partialAblation/','../Poisson_partialAblation/'] # paths = ['../quasiNeutral_partialAblation/','../Poisson_partialAblation/']
# paths = ['../2024-10-02_14.30.44/'] # paths = ['../2024-10-02_14.30.44/']
# paths = ['../quasiNeutral_fullAblation/','../Poisson_fullAblation/'] # paths = ['../quasiNeutral_fullAblation/','../Poisson_fullAblation/']
# paths = ['../2025-04-10_11.59.02/'] paths = ['../2025-04-09_16.45.52/']
paths = ['../polytropic_80ns_T30/']
labels = [path[3:-1] for path in paths] labels = [path[3:-1] for path in paths]
for path, label in zip(paths, labels): for path, label in zip(paths, labels):
@ -22,7 +21,7 @@ for path, label in zip(paths, labels):
start = 80 start = 80
end = 85#len(filesPhi) end = 85#len(filesPhi)
every = 1 every = 1
fig, ax = plt.subplots(3, sharex='all') fig, ax = plt.subplots(4, sharex='all')
ax[1].set_yscale('log') ax[1].set_yscale('log')
ax[1].set_ylim(bottom=1e10, top=1e24) ax[1].set_ylim(bottom=1e10, top=1e24)
_, r, _, _, _ = readPhi.read(filesPhi[0]) _, r, _, _, _ = readPhi.read(filesPhi[0])
@ -51,6 +50,7 @@ for path, label in zip(paths, labels):
ax[1].plot(r, sum_Zni) ax[1].plot(r, sum_Zni)
ax[1].plot(r, n_e, color='k', linestyle='dashed') ax[1].plot(r, n_e, color='k', linestyle='dashed')
ax[2].plot(r, ave_ui) ax[2].plot(r, ave_ui)
ax[3].plot(r, ave_Ti)
ax[0].set_title(label) ax[0].set_title(label)
ax[0].legend() ax[0].legend()

2
scripts_python/readF.py
View file

@ -8,7 +8,7 @@ def read(filename):
df = pandas.read_csv(filename,skiprows=2,nrows=1) df = pandas.read_csv(filename,skiprows=2,nrows=1)
Z = df['Z'].to_numpy()[0] Z = df['Z'].to_numpy()[0]
df = pandas.read_csv(filename,skiprows=4,nrows=1,header=None) df = pandas.read_csv(filename,skiprows=2,nrows=1,header=None)
x = df.to_numpy()[0][1:] x = df.to_numpy()[0][1:]
df = pandas.read_csv(filename,skiprows=5,header=None) df = pandas.read_csv(filename,skiprows=5,header=None)
f = [] f = []

16
src/makefile
View file

@ -1,16 +0,0 @@
OBJECTS = $(OBJDIR)/constantParameters.o \
$(OBJDIR)/input.o \
$(OBJDIR)/output.o \
$(OBJDIR)/referenceValues.o \
$(OBJDIR)/tableBoundary.o \
$(OBJDIR)/tableTNZ.o
all: $(OUTPUT)
$(OUTPUT): modules.o $(OUTPUT).f90
$(FC) $(FCFLAGS) -o $(OBJDIR)/$(OUTPUT).o -c $(OUTPUT).f90
$(FC) $(FCFLAGS) -o $(TOPDIR)/$(OUTPUT) $(OBJECTS) $(OBJDIR)/$(OUTPUT).o -lopenblas
modules.o:
$(MAKE) -C modules all

207
src/modules/input.f90
View file

@ -1,207 +0,0 @@
module input
use constantParameters, only: dp
implicit none
character(:), allocatable:: inputFile
integer:: inputFile_id, inputFile_io
contains
subroutine openInputFile()
inquire(file=inputFile, iostat=inputfile_io)
if (inputFile_io /= 0) then
write (*, '("Error: input file ", a, " does not exist")') inputFile
return
end if
open(action='read', file=inputFile, iostat=inputFile_io, newunit=inputFile_id)
end subroutine openInputFile
subroutine checkIO(subroutineName)
character(len=*), intent(in):: subroutineName
if (inputFile_io < 0) then
write (*, '("End-of-file found when reading in subroutine: ",a)') subroutineName
error stop
elseif (inputFile_io > 0) then
write (*, '("Error condition ", i3," found when reading in subroutine: ",a)') inputFile_io, subroutineName
error stop
end if
inputFile_io = 0
end subroutine checkIO
subroutine readReference()
use constantParameters, only: dp, kb, qe, eps_0, ev_to_K, cm3_to_m3, PI
use referenceValues
namelist /reference/ m_ref, Temp_ref, n_ref
read(nml=reference, unit=inputFile_id, iostat=inputFile_io)
rewind(unit=inputFile_id)
! Set reference numbers (in SI units)
Temp_ref = Temp_ref * eV_to_K
n_ref = n_ref
t_ref = sqrt(eps_0 * m_ref / (n_ref * 1.0_dp * qe**2)) ! 1.0_dp represents Z = 1 for reference values
u_ref = sqrt(kb * Temp_ref / m_ref)
L_ref = u_ref * t_ref
phi_ref = kb * Temp_ref / qe
call checkIO('readReference')
end subroutine readReference
subroutine readGrid(r0, rf, dr, v0, vf, nv)
use referenceValues, only: L_ref, u_ref
real(dp), intent(out):: r0, rf, dr
real(dp), intent(out):: v0, vf
integer, intent(out):: nv
namelist /grid/ r0, rf, dr, v0, vf, nv
read(nml=grid, unit=inputFile_id, iostat=inputFile_io)
rewind(unit=inputFile_id)
call checkIO('readGrid')
r0 = r0/L_ref
rf = rf/L_ref
dr = dr/L_ref
v0 = v0/u_ref
vf = vf/u_ref
end subroutine readGrid
subroutine readOutput(folder_alloc, outputStep)
character(:), allocatable, intent(out):: folder_alloc
real(dp), intent(out):: outputStep
character(len=128):: folder
namelist /output/ folder, outputStep
read(nml=output, unit=inputFile_id, iostat=inputFile_io)
rewind(unit=inputFile_id)
call checkIO('readOutput')
folder_alloc = trim(folder)
end subroutine readOutput
subroutine readTime(t0, tf, CFL)
use referenceValues, only: t_ref
real(dp), intent(out):: t0, tf, CFL
namelist /time/ t0, tf, CFL
read(nml=time, unit=inputFile_id, iostat=inputFile_io)
rewind(unit=inputFile_id)
call checkIO('readTime')
t0 = t0/t_ref
tf = tf/t_ref
end subroutine readTime
subroutine readDetector(rCum)
use referenceValues, only: L_ref
real(dp), intent(out):: rCum
namelist /detector/ rCum
read(nml=detector, unit=inputFile_id, iostat=inputFile_io)
rewind(unit=inputFile_id)
call checkIO('readDetector')
! Set position to calculate cumulative sum of f (non-dimensional units)
rCum = rCum/L_ref
end subroutine readDetector
subroutine readBoundary(bc)
use tableBoundary
type(tableBC), intent(out):: bc
character(len=128):: filename
character(:), allocatable:: filename_dynamic ! Needed to pass as an argument, might delete
namelist /boundary/ filename
read(nml=boundary, unit=inputFile_id, iostat=inputFile_io)
rewind(unit=inputFile_id)
call checkIO('readBoundary')
filename_dynamic = trim(filename)
call bc%init(filename_dynamic)
end subroutine readBoundary
subroutine readZ(Zlist, nz, Tene_to_Z)
use tableTNZ
real(dp), allocatable, intent(out):: Zlist(:)
integer, intent(out):: nz
type(tableTn_to_Z), intent(out):: Tene_to_Z
real(dp), allocatable:: ZList_dummy(:)
character(len=128):: filename
character(:), allocatable:: filename_dynamic ! Needed to pass as an argument, might delete
namelist /Zbins/ ZList, filename
! List of dummy size
allocate(ZList(1:99))
ZList = -1.0_dp
! Read namelist
read(nml=Zbins, unit=inputFile_id, iostat=inputFile_io)
rewind(unit=inputFile_id)
call checkIO('readZ')
! Get the real Z bins
nz = count(ZList > 0.0_dp)
allocate(ZList_dummy(1:nz))
ZList_dummy = ZList(1:nz)
! Copy to final list
deallocate(ZList)
ZList = ZList_dummy
deallocate(ZList_dummy)
filename_dynamic = trim(filename)
call Tene_to_Z%init(filename_dynamic)
end subroutine readZ
subroutine readParallel(nThreads)
integer, intent(out):: nThreads
namelist /parallel/ nThreads
read(nml=parallel, unit=inputFile_id, iostat=inputFile_io)
rewind(unit=inputFile_id)
call checkIO('readParallel')
end subroutine readParallel
subroutine closeInputFile()
close(inputFile_id)
end subroutine closeInputFile
end module input

15
src/modules/makefile
View file

@ -1,15 +0,0 @@
OBJS = constantParameters.o \
input.o \
output.o \
referenceValues.o \
tableBoundary.o \
tableTNZ.o
all: $(OBJS)
input.o: referenceValues.o tableBoundary.o tableTNZ.o input.f90
$(FC) $(FCFLAGS) -c $(subst .o,.f90,$@) -o $(OBJDIR)/$@
%.o: %.f90
$(FC) $(FCFLAGS) -c $< -o $(OBJDIR)/$@

208
src/vlaplex.f90 → vlaplex.f90
View file

@ -1,13 +1,37 @@
module eos
use constantParameters, only: dp
implicit none
private
public:: T_to_Z
contains
pure function T_to_Z(T) result(Z)
use constantParameters, only: eV_to_K
use referenceValues, only: Temp_ref
implicit none
real(dp), intent(in):: T
real(dp):: Z
Z = 22.5 * (Temp_ref * T / eV_to_K / 100.0)**0.6
end function T_to_Z
end module eos
program VlaPlEx program VlaPlEx
use constantParameters, only: dp, kb, qe, eps_0, ev_to_K, cm3_to_m3, PI use constantParameters, only: dp, kb, qe, eps_0, ev_to_K, cm3_to_m3, PI
use input
use output use output
use referenceValues use referenceValues
use tableBoundary use eos, only: T_to_Z
use tableTNZ use moduleTableBC
use moduleTableTtoZ
use moduleTableTtoZne
use omp_lib use omp_lib
implicit none implicit none
real(dp), parameter:: m_i = 1.9712258e-25_dp ! Tin atom mass in kg
real(dp), parameter:: gamma_i = 1.0_dp ! Adiabatic coefficient for ions real(dp), parameter:: gamma_i = 1.0_dp ! Adiabatic coefficient for ions
real(dp), parameter:: m_e = 9.1093837e-31_dp ! Electron mass in kg real(dp), parameter:: m_e = 9.1093837e-31_dp ! Electron mass in kg
real(dp), parameter:: gamma_e = 4.0_dp / 3.0_dp ! Adiabatic coefficient for electrons real(dp), parameter:: gamma_e = 4.0_dp / 3.0_dp ! Adiabatic coefficient for electrons
@ -20,10 +44,10 @@ program VlaPlEx
real(dp):: v0, vf real(dp):: v0, vf
real(dp), allocatable, dimension(:):: v real(dp), allocatable, dimension(:):: v
real(dp):: t0, tf real(dp):: t0, tf
real(dp):: CFL
real(dp):: time real(dp):: time
real(dp):: dr, dv, dt real(dp):: dr, dv, dt
integer:: nr, nv, nt, nz integer:: nr, nv, nt, nz
integer:: nzMin, nzMax
integer:: i, iz, j, t, z_inj integer:: i, iz, j, t, z_inj
integer:: j0 ! First integer of positive velocity integer:: j0 ! First integer of positive velocity
@ -31,8 +55,13 @@ program VlaPlEx
real(dp):: Zave_bc, Zave_bc_old ! Average charge state real(dp):: Zave_bc, Zave_bc_old ! Average charge state
real(dp):: u_bc ! Injection velocity real(dp):: u_bc ! Injection velocity
real(dp):: n_bc ! Injection density real(dp):: n_bc ! Injection density
real(dp):: c_s ! Ion sound speed
type(tableBC):: boundaryConditions type(tableBC):: boundaryConditions
type(tableTn_to_Z):: Tene_to_Z character(:), allocatable:: bc_file
type(tableTtoZ):: TtoZ
character(:), allocatable:: TtoZ_file
type(tableTtoZne):: TtoZne
character(:), allocatable:: TtoZne_file
real(dp), allocatable, dimension(:,:,:):: f_i, f_i_old real(dp), allocatable, dimension(:,:,:):: f_i, f_i_old
real(dp), allocatable, dimension(:):: f0 ! Boundary at r = x_0 real(dp), allocatable, dimension(:):: f0 ! Boundary at r = x_0
@ -43,7 +72,7 @@ program VlaPlEx
real(dp), allocatable, dimension(:,:):: T_i real(dp), allocatable, dimension(:,:):: T_i
real(dp), allocatable, dimension(:):: n_e real(dp), allocatable, dimension(:):: n_e
real(dp), allocatable, dimension(:):: Zave real(dp), allocatable, dimension(:):: Zave
real(dp), allocatable, dimension(:):: Zlist real(dp), allocatable, dimension(:):: Z_list
real(dp), allocatable, dimension(:):: diag, diag_low, diag_high real(dp), allocatable, dimension(:):: diag, diag_low, diag_high
real(dp), allocatable, dimension(:,:):: A real(dp), allocatable, dimension(:,:):: A
real(dp), allocatable, dimension(:):: Res real(dp), allocatable, dimension(:):: Res
@ -53,54 +82,58 @@ program VlaPlEx
real(dp), allocatable, dimension(:):: phi, phi_old, E, db_dphi real(dp), allocatable, dimension(:):: phi, phi_old, E, db_dphi
real(dp):: phiConv real(dp):: phiConv
real(dp):: phi0 real(dp):: phi0
real(dp):: T_e0 real(dp):: T_e
! real(dp):: phiF ! real(dp):: phiF
integer:: k integer:: k
integer:: nThreads ! number of threads for OpenMP
real(dp), allocatable, dimension(:,:):: fCum_i real(dp), allocatable, dimension(:,:):: fCum_i
real(dp):: rCum real(dp):: rCum
integer:: rCum_index integer:: rCum_index
real(dp):: outputStep
character(:), allocatable:: folder
character(len=128):: arg
CALL get_command_argument(1, arg)
if (arg == '') then
write (*, '(a)') "No input file provided"
return
end if
inputFile = trim(arg)
call openInputFile()
call readReference()
call readParallel(nThreads)
call readGrid(r0, rf, dr, v0, vf, nv)
call readOutput(folder, outputStep)
call readTime(t0, tf, CFL)
call readDetector(rCum)
call readBoundary(boundaryConditions)
call readZ(Zlist, nz, Tene_to_Z)
call closeInputFile()
! Set number of threads ! Set number of threads
call omp_set_num_threads(nThreads) call omp_set_num_threads(16)
! Grid in the position space ! Set reference numbers (in SI units)
Temp_ref = 30.0_dp * eV_to_K
n_ref = 1.0e20_dp * cm3_to_m3
t_ref = sqrt(eps_0 * m_i / (n_ref * 1.0_dp * qe**2)) ! 1.0_dp represents Z = 1 for reference values
u_ref = sqrt(kb * Temp_ref / m_i)
L_ref = u_ref * t_ref
phi_ref = kb * Temp_ref / qe
! Set input parameters (remember these have to be in non-dimensional units)
c_s = sqrt(11.0_dp * gamma_i * 1.0_dp)
bc_file = 'bc.csv'
call boundaryConditions%init(bc_file)
TtoZ_file = 'average_TtoZ_curve.csv'
call TtoZ%init(TtoZ_file)
TtoZne_file = 'Zave_values_per_Ne.csv'
call TtoZne%init(TtoZne_file)
! Set domain boundaries (non-dimensional units)
r0 = 10.0e-6_dp / L_ref
rf = 2.0e-3_dp / L_ref
dr = 1.0e-6_dp / L_ref
nr = nint((rf - r0) / dr) + 1 nr = nint((rf - r0) / dr) + 1
dr = (rf - r0) / float(nr-1) dr = (rf - r0) / float(nr-1)
allocate(r(1:nr)) allocate(r(1:nr))
do i = 1, nr do i = 1, nr
r(i) = dr * float(i-1) + r0 r(i) = dr * float(i-1) + r0
end do end do
! Set position to calculate cumulative sum of f (non-dimensional units)
rCum = 1.0e-3 / L_ref
! Index for cumulative sum ! Index for cumulative sum
rCum_index = minloc(abs(r - rCum), 1) rCum_index = minloc(abs(r - rCum), 1)
! Grid in the velocity space v0 =-0.5e1_dp*c_s
dv = (vf - v0) / float(nv-1) vf = 1.5e1_dp*c_s
dv = 2.0e-1_dp
nv = nint((vf - v0) / dv) + 1
dv = (vf - v0) / float(nv-1)
allocate(v(1:nv)) allocate(v(1:nv))
do j = 1, nv do j = 1, nv
v(j) = dv * float(j-1) + v0 v(j) = dv * float(j-1) + v0
@ -112,11 +145,13 @@ program VlaPlEx
j0 = j0 + 1 j0 = j0 + 1
end if end if
dt = CFL*dr/vf t0 = 0.0_dp
tf = 3.0e-7_dp / t_ref
dt = 5.0e-2_dp*dr/c_s
nt = nint((tf - t0) / dt) nt = nint((tf - t0) / dt)
dt = (tf - t0) / float(nt) dt = (tf - t0) / float(nt)
everyOutput = nint(outputStep/t_ref/dt) everyOutput = nint(1.0e-9_dp/t_ref/dt)
if (everyOutput == 0) then if (everyOutput == 0) then
everyOutput = 1 everyOutput = 1
@ -128,30 +163,41 @@ program VlaPlEx
end if end if
write(*, '(A,ES0.4e3)') 'CFL: ', dt*vf/dr
nzMin = 3
nzMax = 13
nz = nzMax - nzMin + 1
nz = nz + 1 ! Add bin for low Z plasma
! Allocate vectors ! Allocate vectors
allocate(f_i(1:nz,1:nr,1:nv), f_i_old(1:nz,1:nr,1:nv)) allocate(f_i(1:nz,1:nr,1:nv), f_i_old(1:nz,1:nr,1:nv))
allocate(n_i(1:nz,1:nr)) allocate(n_i(1:nz,1:nr))
allocate(sum_ni(1:nr)) allocate(sum_ni(1:nr))
allocate(u_i(1:nz,1:nr), E_i(1:nr), T_i(1:nz,1:nr)) allocate(u_i(1:nz,1:nr), E_i(1:nr), T_i(1:nz,1:nr))
allocate(Zave(1:nr)) allocate(Zave(1:nr))
allocate(Z_list(1:nz))
allocate(n_e(1:nr)) allocate(n_e(1:nr))
allocate(phi(1:nr), phi_old(1:nr), E(1:nr)) allocate(phi(1:nr), phi_old(1:nr), E(1:nr))
allocate(fCum_i(1:nz,1:nv)) allocate(fCum_i(1:nz,1:nv))
f_i = 0.0_dp f_i = 0.0_dp
f_i_old = 0.0_dp f_i_old = 0.0_dp
n_i = 0.0_dp n_i = 0.0_dp
sum_ni = 0.0_dp sum_ni = 0.0_dp
u_i = 0.0_dp u_i = 0.0_dp
E_i = 0.0_dp E_i = 0.0_dp
T_i = 0.0_dp T_i = 0.0_dp
n_e = 0.0_dp n_e = 0.0_dp
T_e0 = 0.0_dp T_e = 0.0_dp
Zave = 0.0_dp Zave = 0.0_dp
Z_list(1) = 0.1_dp ! Low Z bin
do iz = nzMin, nzMax
Z_list(iz-nzMin+1+1) = float(iz)
end do
Zave_bc_old = 0.0_dp Zave_bc_old = 0.0_dp
phi = 0.0_dp phi = 0.0_dp
phi_old = 0.0_dp phi_old = 0.0_dp
E = 0.0_dp E = 0.0_dp
fCum_i = 0.0_dp fCum_i = 0.0_dp
! Allocate matrix for Poisson equation ! Allocate matrix for Poisson equation
allocate(diag(1:nr), diag_low(1:nr-1), diag_high(1:nr-1)) allocate(diag(1:nr), diag_low(1:nr-1), diag_high(1:nr-1))
@ -195,15 +241,15 @@ program VlaPlEx
f0 = 0.0_dp f0 = 0.0_dp
! Output initial values ! Output initial values
call createPath(folder) call createPath()
call setTimeFormat(nt) call setTimeFormat(nt)
t = 0 t = 0
call writeOutputRef() call writeOutputRef()
! call writeOutputF(t, dt, nr, r, nv, v, f_i_old) ! call writeOutputF(t, dt, nr, r, nv, v, f_i_old)
call writeOutputFCum(t, dt, nz, r(rCum_index), nv, v, fCum_i, Zlist) call writeOutputFCum(t, dt, nz, r(rCum_index), nv, v, fCum_i, Z_list)
call writeOutputPhi(t, dt, nr, r, phi, E, n_e) call writeOutputPhi(t, dt, nr, r, phi, E, n_e)
call writeOutputMom(t, dt, nz, nr, r, n_i, u_i, T_i, Zlist) call writeOutputMom(t, dt, nz, nr, r, n_i, u_i, T_i, Z_list)
call writeOutputZList(nz, Zlist) call writeOutputZList(nz, Z_list)
! Main loop ! Main loop
do t = 1, nt do t = 1, nt
@ -211,15 +257,15 @@ program VlaPlEx
! Get boundary conditions for specific time ! Get boundary conditions for specific time
call boundaryConditions%get(time, n_bc, u_bc, Temp_bc) call boundaryConditions%get(time, n_bc, u_bc, Temp_bc)
! Find new \bar{Z}_i based on T_e0 = Temp_bc and n_e = n_bc ! Find new \bar{Z}_i based on T_e = Temp_bc and n_e = n_bc
call Tene_to_Z%get(Temp_bc, n_bc, Zave_bc) call TtoZne%get(Temp_bc, n_bc, Zave_bc)
! Assign Z(T,n) to bin ! Assign Z(T,n) to bin
z_inj = minloc(abs(Zlist - Zave_bc),1) z_inj = minloc(abs(Z_list - Zave_bc),1)
! Calculate inject (sonic) speed ! Calculate inject (sonic) speed
u_bc = sqrt(Zlist(z_inj)* Temp_bc) u_bc = sqrt(Z_list(z_inj)* Temp_bc)
! Calculate ion density to inject ! Calculate ion density to inject
n_bc = n_bc / Zlist(z_inj) n_bc = n_bc / Z_list(z_inj)
call writeOutputBoundary(t, dt, n_bc, u_bc, Temp_bc, Zave_bc, Zlist(z_inj)) call writeOutputBoundary(t, dt, n_bc, u_bc, Temp_bc, Zave_bc, Z_list(z_inj))
! f0(j0:nv) = v(j0:nv)**2 / sqrt(PI*Temp_bc**3) * exp(-(v(j0:nv) - u_bc)**2 / Temp_bc) ! f0(j0:nv) = v(j0:nv)**2 / sqrt(PI*Temp_bc**3) * exp(-(v(j0:nv) - u_bc)**2 / Temp_bc)
f0(j0:nv) = 1.0_dp / sqrt(PI*Temp_bc) * exp(-(v(j0:nv) - u_bc)**2 / Temp_bc) f0(j0:nv) = 1.0_dp / sqrt(PI*Temp_bc) * exp(-(v(j0:nv) - u_bc)**2 / Temp_bc)
@ -229,7 +275,7 @@ program VlaPlEx
f_i_old(z_inj,1,j0:nv) = f0 f_i_old(z_inj,1,j0:nv) = f0
f_i(:,1,j0:nv) = f_i_old(:,1,j0:nv) f_i(:,1,j0:nv) = f_i_old(:,1,j0:nv)
T_e0 = Temp_bc T_e = Temp_bc
! r = rf, v<0 ! r = rf, v<0
f_i_old(:,nr,1:j0-1) = 0.0_dp f_i_old(:,nr,1:j0-1) = 0.0_dp
@ -248,12 +294,12 @@ program VlaPlEx
! Advect negative velocity ! Advect negative velocity
if (i < nr) then if (i < nr) then
f_i(iz,i,1:j0-1) = f_i_old(iz,i,1:j0-1) - v(1:j0-1)*dt/dr/r(i)**2*(r(i+1)**2*f_i_old(iz,i+1,1:j0-1) - & f_i(iz,i,1:j0-1) = f_i_old(iz,i,1:j0-1) - v(1:j0-1)*dt/dr/r(i)**2*(r(i+1)**2*f_i_old(iz,i+1,1:j0-1) - &
r(i )**2*f_i_old(iz,i ,1:j0-1)) r(i )**2*f_i_old(iz,i ,1:j0-1))
end if end if
! Advect positive velocity ! Advect positive velocity
if (i > 1) then if (i > 1) then
f_i(iz,i,j0:nv) = f_i_old(iz,i, j0:nv) - v( j0:nv)*dt/dr/r(i)**2*(r(i )**2*f_i_old(iz,i , j0:nv) - & f_i(iz,i,j0:nv) = f_i_old(iz,i, j0:nv) - v( j0:nv)*dt/dr/r(i)**2*(r(i )**2*f_i_old(iz,i , j0:nv) - &
r(i-1)**2*f_i_old(iz,i-1, j0:nv)) r(i-1)**2*f_i_old(iz,i-1, j0:nv))
end if end if
n_i(iz,i) = sum(f_i(iz,i,:))*dv n_i(iz,i) = sum(f_i(iz,i,:))*dv
@ -270,7 +316,7 @@ program VlaPlEx
end do end do
!$omp end parallel do !$omp end parallel do
sum_ni = sum_ni + Zlist(iz) * n_i(iz,:) sum_ni = sum_ni + Z_list(iz) * n_i(iz,:)
end do end do
! Assume quasi-neutrality to start iterating ! Assume quasi-neutrality to start iterating
@ -308,12 +354,12 @@ program VlaPlEx
! phi0=phi(1) ! Neumann ! phi0=phi(1) ! Neumann
! Calculate distribution of electrons ! Calculate distribution of electrons
! n_e = sum_ni(1) * exp((phi- phi0) / T_e0) ! Isothermal (Boltzmann) ! n_e = sum_ni(1) * exp((phi- phi0) / T_e) ! Isothermal (Boltzmann)
n_e = sum_ni(1) * (1.0_dp + (gamma_e - 1.0_dp)/gamma_e*(phi-phi0)/T_e0)**gamma_e_exp !Polytropic n_e = sum_ni(1) * (1.0_dp + (gamma_e - 1.0_dp)/gamma_e*(phi-phi0)/T_e)**gamma_e_exp !Polytropic
! Diagonal matrix for Newton integration scheme ! Diagonal matrix for Newton integration scheme
! db_dphi = n_e / T_e0 ! Isothermal (Boltzmann) ! db_dphi = n_e / T_e ! Isothermal (Boltzmann)
db_dphi = sum_ni(1) / (gamma_e * T_e0) * & db_dphi = sum_ni(1) / (gamma_e * T_e) * &
(1.0_dp + (gamma_e - 1.0_dp)/gamma_e*(phi-phi0)/T_e0)**gamma_e_dexp !Polytropic (1.0_dp + (gamma_e - 1.0_dp)/gamma_e*(phi-phi0)/T_e)**gamma_e_dexp !Polytropic
! Check if the solution has converged ! Check if the solution has converged
phiConv = maxval(abs(Res),1) phiConv = maxval(abs(Res),1)
@ -324,7 +370,7 @@ program VlaPlEx
! ! Calculate new potential to ensure 0 current at the edge ! ! Calculate new potential to ensure 0 current at the edge
! if (n_i(nr) > n_epsilon) then ! if (n_i(nr) > n_epsilon) then
! phiF = phi0 + T_e0 * log((2.0_dp*sqrt(pi)*Zave(nr)*n_i(nr)*u_i(nr)) / (Zave(1)*n_i(1)*sqrt(m_i*T_e0/m_e))) ! phiF = phi0 + T_e * log((2.0_dp*sqrt(pi)*Zave(nr)*n_i(nr)*u_i(nr)) / (Zave(1)*n_i(1)*sqrt(m_i*T_e/m_e)))
! !
! else ! else
! phiF = phi(nr-5) ! phiF = phi(nr-5)
@ -356,18 +402,18 @@ program VlaPlEx
! i = 1, v<0 ! i = 1, v<0
i = 1 i = 1
if (E(i) >= 0.0_dp) then if (E(i) >= 0.0_dp) then
f_i(iz,i,2:j0-2) = f_i_old(iz,i,2:j0-2) - Zlist(iz)*E(i)*dt/dv*(f_i_old(iz,i,2:j0-2) - f_i_old(iz,i,1:j0-3)) f_i(iz,i,2:j0-2) = f_i_old(iz,i,2:j0-2) - Z_list(iz)*E(i)*dt/dv*(f_i_old(iz,i,2:j0-2) - f_i_old(iz,i,1:j0-3))
else else
f_i(iz,i,2:j0-2) = f_i_old(iz,i,2:j0-2) - Zlist(iz)*E(i)*dt/dv*(f_i_old(iz,i,3:j0-1) - f_i_old(iz,i,2:j0-2)) f_i(iz,i,2:j0-2) = f_i_old(iz,i,2:j0-2) - Z_list(iz)*E(i)*dt/dv*(f_i_old(iz,i,3:j0-1) - f_i_old(iz,i,2:j0-2))
end if end if
! i = 2, nr-1; all v ! i = 2, nr-1; all v
!$omp parallel do !$omp parallel do
do i = 2, nr-1 do i = 2, nr-1
if (E(i) >= 0.0_dp) then if (E(i) >= 0.0_dp) then
f_i(iz,i,2:nv-1) = f_i_old(iz,i,2:nv-1) - Zlist(iz)*E(i)*dt/dv*(f_i_old(iz,i,2:nv-1) - f_i_old(iz,i,1:nv-2)) f_i(iz,i,2:nv-1) = f_i_old(iz,i,2:nv-1) - Z_list(iz)*E(i)*dt/dv*(f_i_old(iz,i,2:nv-1) - f_i_old(iz,i,1:nv-2))
else else
f_i(iz,i,2:nv-1) = f_i_old(iz,i,2:nv-1) - Zlist(iz)*E(i)*dt/dv*(f_i_old(iz,i,3:nv) - f_i_old(iz,i,2:nv-1)) f_i(iz,i,2:nv-1) = f_i_old(iz,i,2:nv-1) - Z_list(iz)*E(i)*dt/dv*(f_i_old(iz,i,3:nv) - f_i_old(iz,i,2:nv-1))
end if end if
@ -376,9 +422,9 @@ program VlaPlEx
! i = nr, v>=0 ! i = nr, v>=0
i = nr i = nr
if (E(i) >= 0.0_dp) then if (E(i) >= 0.0_dp) then
f_i(iz,i,j0+1:nv-1) = f_i_old(iz,i,j0+1:nv-1) - Zlist(iz)*E(i)*dt/dv*(f_i_old(iz,i,j0+1:nv-1) - f_i_old(iz,i,j0:nv-2)) f_i(iz,i,j0+1:nv-1) = f_i_old(iz,i,j0+1:nv-1) - Z_list(iz)*E(i)*dt/dv*(f_i_old(iz,i,j0+1:nv-1) - f_i_old(iz,i,j0:nv-2))
else else
f_i(iz,i,j0+1:nv-1) = f_i_old(iz,i,j0+1:nv-1) - Zlist(iz)*E(i)*dt/dv*(f_i_old(iz,i,j0+2:nv) - f_i_old(iz,i,j0+1:nv-1)) f_i(iz,i,j0+1:nv-1) = f_i_old(iz,i,j0+1:nv-1) - Z_list(iz)*E(i)*dt/dv*(f_i_old(iz,i,j0+2:nv) - f_i_old(iz,i,j0+1:nv-1))
end if end if
end do end do
@ -389,14 +435,14 @@ program VlaPlEx
if (all(n_i(iz,:) < n_epsilon) .and. iz .ne. z_inj) then if (all(n_i(iz,:) < n_epsilon) .and. iz .ne. z_inj) then
cycle cycle
end if end if
fCum_i(iz,:) = fCum_i(iz,:) + f_i_old(iz,rCum_index,:)*dt*(v+dv/2.0)*dv fCum_i(iz,:) = fCum_i(iz,:) + f_i_old(iz,rCum_index,:)
end do end do
! Write output ! Write output
if (mod(t,everyOutput) == 0 .or. t == nt) then if (mod(t,everyOutput) == 0 .or. t == nt) then
! call writeOutputF(t, dt, nz, nr, r, nv, v, f_i_old, Zlist) ! call writeOutputF(t, dt, nz, nr, r, nv, v, f_i_old, Z_list)
call writeOutputPhi(t, dt, nr, r, phi, E, n_e) call writeOutputPhi(t, dt, nr, r, phi, E, n_e)
call writeOutputMom(t, dt, nz, nr, r, n_i, u_i, T_i, Zlist) call writeOutputMom(t, dt, nz, nr, r, n_i, u_i, T_i, Z_list)
call writeOutputFCum(t, dt, nz, r(rCum_index), nv, v, fCum_i, Zlist) call writeOutputFCum(t, dt, nz, r(rCum_index), nv, v, fCum_i, Z_list)
end if end if