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SWIFT
SWIFTsim
Commits
4713e6d4
Commit
4713e6d4
authored
Feb 20, 2017
by
Matthieu Schaller
Browse files
Added the 1D Noh problem and solution script
parent
8eb92b67
Changes
4
Hide whitespace changes
Inline
Side-by-side
examples/Noh_1D/makeIC.py
0 → 100644
View file @
4713e6d4
###############################################################################
# This file is part of SWIFT.
# Copyright (c) 2016 Matthieu Schaller (matthieu.schaller@durham.ac.uk)
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU Lesser General Public License as published
# by the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with this program. If not, see <http://www.gnu.org/licenses/>.
#
##############################################################################
import
h5py
from
numpy
import
*
# Generates a swift IC file for the Noh problem test in a periodic cubic box
# Parameters
numPart
=
1000
gamma
=
5.
/
3.
# Gas adiabatic index
rho0
=
1.
# Background density
P0
=
1.e-6
# Background pressure
fileName
=
"noh.hdf5"
#---------------------------------------------------
coords
=
zeros
((
numPart
,
3
))
h
=
zeros
(
numPart
)
vol
=
2.
for
i
in
range
(
numPart
):
coords
[
i
,
0
]
=
i
*
vol
/
numPart
+
vol
/
(
2.
*
numPart
)
h
[
i
]
=
1.2348
*
vol
/
numPart
# Generate extra arrays
v
=
zeros
((
numPart
,
3
))
ids
=
linspace
(
1
,
numPart
,
numPart
)
m
=
zeros
(
numPart
)
u
=
zeros
(
numPart
)
m
[:]
=
rho0
*
vol
/
numPart
u
[:]
=
P0
/
(
rho0
*
(
gamma
-
1
))
v
[
coords
[:,
0
]
<
vol
/
2.
,
0
]
=
1
v
[
coords
[:,
0
]
>
vol
/
2.
,
0
]
=
-
1
#--------------------------------------------------
#File
file
=
h5py
.
File
(
fileName
,
'w'
)
# Header
grp
=
file
.
create_group
(
"/Header"
)
grp
.
attrs
[
"BoxSize"
]
=
[
vol
,
vol
,
vol
]
grp
.
attrs
[
"NumPart_Total"
]
=
[
numPart
,
0
,
0
,
0
,
0
,
0
]
grp
.
attrs
[
"NumPart_Total_HighWord"
]
=
[
0
,
0
,
0
,
0
,
0
,
0
]
grp
.
attrs
[
"NumPart_ThisFile"
]
=
[
numPart
,
0
,
0
,
0
,
0
,
0
]
grp
.
attrs
[
"Time"
]
=
0.0
grp
.
attrs
[
"NumFilesPerSnapshot"
]
=
1
grp
.
attrs
[
"MassTable"
]
=
[
0.0
,
0.0
,
0.0
,
0.0
,
0.0
,
0.0
]
grp
.
attrs
[
"Flag_Entropy_ICs"
]
=
0
grp
.
attrs
[
"Dimension"
]
=
1
#Runtime parameters
grp
=
file
.
create_group
(
"/RuntimePars"
)
grp
.
attrs
[
"PeriodicBoundariesOn"
]
=
1
#Units
grp
=
file
.
create_group
(
"/Units"
)
grp
.
attrs
[
"Unit length in cgs (U_L)"
]
=
1.
grp
.
attrs
[
"Unit mass in cgs (U_M)"
]
=
1.
grp
.
attrs
[
"Unit time in cgs (U_t)"
]
=
1.
grp
.
attrs
[
"Unit current in cgs (U_I)"
]
=
1.
grp
.
attrs
[
"Unit temperature in cgs (U_T)"
]
=
1.
#Particle group
grp
=
file
.
create_group
(
"/PartType0"
)
grp
.
create_dataset
(
'Coordinates'
,
data
=
coords
,
dtype
=
'd'
)
grp
.
create_dataset
(
'Velocities'
,
data
=
v
,
dtype
=
'f'
)
grp
.
create_dataset
(
'Masses'
,
data
=
m
,
dtype
=
'f'
)
grp
.
create_dataset
(
'SmoothingLength'
,
data
=
h
,
dtype
=
'f'
)
grp
.
create_dataset
(
'InternalEnergy'
,
data
=
u
,
dtype
=
'f'
)
grp
.
create_dataset
(
'ParticleIDs'
,
data
=
ids
,
dtype
=
'L'
)
file
.
close
()
examples/Noh_1D/noh.yml
0 → 100644
View file @
4713e6d4
# Define the system of units to use internally.
InternalUnitSystem
:
UnitMass_in_cgs
:
1
# Grams
UnitLength_in_cgs
:
1
# Centimeters
UnitVelocity_in_cgs
:
1
# Centimeters per second
UnitCurrent_in_cgs
:
1
# Amperes
UnitTemp_in_cgs
:
1
# Kelvin
# Parameters governing the time integration
TimeIntegration
:
time_begin
:
0.
# The starting time of the simulation (in internal units).
time_end
:
0.6
# The end time of the simulation (in internal units).
dt_min
:
1e-7
# The minimal time-step size of the simulation (in internal units).
dt_max
:
1e-3
# The maximal time-step size of the simulation (in internal units).
# Parameters governing the snapshots
Snapshots
:
basename
:
noh
# Common part of the name of output files
time_first
:
0.
# Time of the first output (in internal units)
delta_time
:
5e-2
# Time difference between consecutive outputs (in internal units)
# Parameters governing the conserved quantities statistics
Statistics
:
delta_time
:
1e-5
# Time between statistics output
# Parameters for the hydrodynamics scheme
SPH
:
resolution_eta
:
1.2348
# Target smoothing length in units of the mean inter-particle separation (1.2348 == 48Ngbs with the cubic spline kernel).
delta_neighbours
:
0.1
# The tolerance for the targetted number of neighbours.
CFL_condition
:
0.1
# Courant-Friedrich-Levy condition for time integration.
# Parameters related to the initial conditions
InitialConditions
:
file_name
:
./noh.hdf5
# The file to read
examples/Noh_1D/plotSolution.py
0 → 100644
View file @
4713e6d4
###############################################################################
# This file is part of SWIFT.
# Copyright (c) 2016 Matthieu Schaller (matthieu.schaller@durham.ac.uk)
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU Lesser General Public License as published
# by the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with this program. If not, see <http://www.gnu.org/licenses/>.
#
##############################################################################
# Computes the analytical solution of the Noh problem and plots the SPH answer
# Parameters
gas_gamma
=
5.
/
3.
# Polytropic index
rho0
=
1.
# Background density
P0
=
1.e-6
# Background pressure
v0
=
1
import
matplotlib
matplotlib
.
use
(
"Agg"
)
from
pylab
import
*
import
h5py
# Plot parameters
params
=
{
'axes.labelsize'
:
10
,
'axes.titlesize'
:
10
,
'font.size'
:
12
,
'legend.fontsize'
:
12
,
'xtick.labelsize'
:
10
,
'ytick.labelsize'
:
10
,
'text.usetex'
:
True
,
'figure.figsize'
:
(
9.90
,
6.45
),
'figure.subplot.left'
:
0.045
,
'figure.subplot.right'
:
0.99
,
'figure.subplot.bottom'
:
0.05
,
'figure.subplot.top'
:
0.99
,
'figure.subplot.wspace'
:
0.15
,
'figure.subplot.hspace'
:
0.12
,
'lines.markersize'
:
6
,
'lines.linewidth'
:
3.
,
'text.latex.unicode'
:
True
}
rcParams
.
update
(
params
)
rc
(
'font'
,
**
{
'family'
:
'sans-serif'
,
'sans-serif'
:[
'Times'
]})
snap
=
int
(
sys
.
argv
[
1
])
# Read the simulation data
sim
=
h5py
.
File
(
"noh_%03d.hdf5"
%
snap
,
"r"
)
boxSize
=
sim
[
"/Header"
].
attrs
[
"BoxSize"
][
0
]
time
=
sim
[
"/Header"
].
attrs
[
"Time"
][
0
]
scheme
=
sim
[
"/HydroScheme"
].
attrs
[
"Scheme"
]
kernel
=
sim
[
"/HydroScheme"
].
attrs
[
"Kernel function"
]
neighbours
=
sim
[
"/HydroScheme"
].
attrs
[
"Kernel target N_ngb"
]
eta
=
sim
[
"/HydroScheme"
].
attrs
[
"Kernel eta"
]
git
=
sim
[
"Code"
].
attrs
[
"Git Revision"
]
x
=
sim
[
"/PartType0/Coordinates"
][:,
0
]
v
=
sim
[
"/PartType0/Velocities"
][:,
0
]
u
=
sim
[
"/PartType0/InternalEnergy"
][:]
S
=
sim
[
"/PartType0/Entropy"
][:]
P
=
sim
[
"/PartType0/Pressure"
][:]
rho
=
sim
[
"/PartType0/Density"
][:]
N
=
1000
# Number of points
x_min
=
-
1
x_max
=
1
x
+=
x_min
# ---------------------------------------------------------------
# Don't touch anything after this.
# ---------------------------------------------------------------
x_s
=
np
.
arange
(
0
,
2.
,
2.
/
N
)
-
1.
rho_s
=
np
.
ones
(
N
)
*
rho0
P_s
=
np
.
ones
(
N
)
*
rho0
v_s
=
np
.
ones
(
N
)
*
v
# Shock position
u0
=
rho0
*
P0
*
(
gas_gamma
-
1
)
us
=
0.5
*
(
gas_gamma
-
1
)
*
v0
rs
=
us
*
time
# Post-shock values
rho_s
[
np
.
abs
(
x_s
)
<
rs
]
=
rho0
*
(
gas_gamma
+
1
)
/
(
gas_gamma
-
1
)
P_s
[
np
.
abs
(
x_s
)
<
rs
]
=
0.5
*
rho0
*
v0
**
2
*
(
gas_gamma
+
1
)
v_s
[
np
.
abs
(
x_s
)
<
rs
]
=
0.
# Pre-shock values
rho_s
[
np
.
abs
(
x_s
)
>=
rs
]
=
rho0
P_s
[
np
.
abs
(
x_s
)
>=
rs
]
=
0
v_s
[
x_s
>=
rs
]
=
-
v0
v_s
[
x_s
<=
-
rs
]
=
v0
# Additional arrays
u_s
=
P_s
/
(
rho_s
*
(
gas_gamma
-
1.
))
#internal energy
s_s
=
P_s
/
rho_s
**
gas_gamma
# entropic function
# Plot the interesting quantities
figure
()
# Velocity profile --------------------------------
subplot
(
231
)
plot
(
x
,
v
,
'.'
,
color
=
'r'
,
ms
=
4.0
)
plot
(
x_s
,
v_s
,
'--'
,
color
=
'k'
,
alpha
=
0.8
,
lw
=
1.2
)
xlabel
(
"${
\\
rm{Position}}~x$"
,
labelpad
=
0
)
ylabel
(
"${
\\
rm{Velocity}}~v_x$"
,
labelpad
=-
4
)
xlim
(
-
0.5
,
0.5
)
ylim
(
-
1.2
,
1.2
)
# Density profile --------------------------------
subplot
(
232
)
plot
(
x
,
rho
,
'.'
,
color
=
'r'
,
ms
=
4.0
)
plot
(
x_s
,
rho_s
,
'--'
,
color
=
'k'
,
alpha
=
0.8
,
lw
=
1.2
)
xlabel
(
"${
\\
rm{Position}}~x$"
,
labelpad
=
0
)
ylabel
(
"${
\\
rm{Density}}~
\\
rho$"
,
labelpad
=
0
)
xlim
(
-
0.5
,
0.5
)
ylim
(
0.95
,
4.4
)
# Pressure profile --------------------------------
subplot
(
233
)
plot
(
x
,
P
,
'.'
,
color
=
'r'
,
ms
=
4.0
)
plot
(
x_s
,
P_s
,
'--'
,
color
=
'k'
,
alpha
=
0.8
,
lw
=
1.2
)
xlabel
(
"${
\\
rm{Position}}~x$"
,
labelpad
=
0
)
ylabel
(
"${
\\
rm{Pressure}}~P$"
,
labelpad
=
0
)
xlim
(
-
0.5
,
0.5
)
ylim
(
-
0.05
,
1.8
)
# Internal energy profile -------------------------
subplot
(
234
)
plot
(
x
,
u
,
'.'
,
color
=
'r'
,
ms
=
4.0
)
plot
(
x_s
,
u_s
,
'--'
,
color
=
'k'
,
alpha
=
0.8
,
lw
=
1.2
)
xlabel
(
"${
\\
rm{Position}}~x$"
,
labelpad
=
0
)
ylabel
(
"${
\\
rm{Internal~Energy}}~u$"
,
labelpad
=
0
)
xlim
(
-
0.5
,
0.5
)
ylim
(
-
0.05
,
0.8
)
# Entropy profile ---------------------------------
subplot
(
235
)
plot
(
x
,
S
,
'.'
,
color
=
'r'
,
ms
=
4.0
)
plot
(
x_s
,
s_s
,
'--'
,
color
=
'k'
,
alpha
=
0.8
,
lw
=
1.2
)
xlabel
(
"${
\\
rm{Position}}~x$"
,
labelpad
=
0
)
ylabel
(
"${
\\
rm{Entropy}}~S$"
,
labelpad
=-
9
)
xlim
(
-
0.5
,
0.5
)
ylim
(
-
0.05
,
0.2
)
# Information -------------------------------------
subplot
(
236
,
frameon
=
False
)
text
(
-
0.49
,
0.9
,
"Noh problem with $
\\
gamma=%.3f$ in 1D at $t=%.2f$"
%
(
gas_gamma
,
time
),
fontsize
=
10
)
plot
([
-
0.49
,
0.1
],
[
0.62
,
0.62
],
'k-'
,
lw
=
1
)
text
(
-
0.49
,
0.5
,
"$
\\
textsc{Swift}$ %s"
%
git
,
fontsize
=
10
)
text
(
-
0.49
,
0.4
,
scheme
,
fontsize
=
10
)
text
(
-
0.49
,
0.3
,
kernel
,
fontsize
=
10
)
text
(
-
0.49
,
0.2
,
"$%.2f$ neighbours ($
\\
eta=%.3f$)"
%
(
neighbours
,
eta
),
fontsize
=
10
)
xlim
(
-
0.5
,
0.5
)
ylim
(
0
,
1
)
xticks
([])
yticks
([])
savefig
(
"Noh.png"
,
dpi
=
200
)
examples/Noh_1D/run.sh
0 → 100755
View file @
4713e6d4
#!/bin/bash
# Generate the initial conditions if they are not present.
if
[
!
-e
noh.hdf5
]
then
echo
"Generating initial conditions for the Noh problem..."
python makeIC.py
fi
# Run SWIFT
../swift
-s
-t
1 noh.yml 2>&1 |
tee
output.log
# Plot the solution
python plotSolution.py 12
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