#! /usr/bin/env python3
import matplotlib as mpl
import matplotlib.pyplot as plt
import numpy as np
import h5py
from argparse import ArgumentParser
def gridlines(obj, x, y):
for j in range(1, x.shape[0] - 1):
obj.plot(x[j, :], y[j, :], color="#7f7f7f", linewidth=0.1, alpha=0.3)
for j in range(1, x.shape[1] - 1):
obj.plot(x[:, j], y[:, j], color="#7f7f7f", linewidth=0.1, alpha=0.3)
obj.plot(x[0, :], y[0, :], color="#7f7f7f", linewidth=0.2)
obj.plot(x[-1, :], y[-1, :], color="#7f7f7f", linewidth=0.2)
obj.plot(x[:, 0], y[:, 0], color="#7f7f7f", linewidth=0.2)
obj.plot(x[:, -1], y[:, -1], color="#7f7f7f", linewidth=0.2)
def plot_all(grids, save: bool, filename="figure.png"):
sym_cmap = plt.get_cmap("PiYG") # Symmetric around zero
e_cmap = plt.get_cmap("Greys")
f, axarr = plt.subplots(2, 2)
min_rho = min(np.min(g["rho"][-1, :, :]) for g in grids)
max_rho = max(np.max(g["rho"][-1, :, :]) for g in grids)
r = 1.2 * max(abs(min_rho - 1), abs(max_rho - 1))
rho_levels = np.linspace(1 - r, 1 + r, 34)
min_rhou = min(np.min(g["rhou"][-1, :, :]) for g in grids)
max_rhou = max(np.max(g["rhov"][-1, :, :]) for g in grids)
r = 1.2 * max(abs(min_rhou - 1), abs(max_rhou - 1))
rhou_levels = np.linspace(1 - r, 1 + r, 20)
min_rhov = min(np.min(g["rhov"][-1, :, :]) for g in grids)
max_rhov = max(np.max(g["rhov"][-1, :, :]) for g in grids)
r = 1.2 * max(abs(min_rhov), abs(max_rhov))
rhov_levels = np.linspace(-r, r, 20)
min_e = min(np.min(g["e"][-1, :, :]) for g in grids)
max_e = max(np.max(g["e"][-1, :, :]) for g in grids)
e_levels = np.linspace(min_e, max_e)
for g in grids:
x = g["x"]
y = g["y"]
axarr[0, 0].contourf(x, y, g["rho"][-1, :, :], cmap=sym_cmap, levels=rho_levels)
gridlines(axarr[0, 0], x, y)
axarr[0, 1].contourf(
x, y, g["rhou"][-1, :, :], cmap=sym_cmap, levels=rhou_levels
)
gridlines(axarr[0, 1], x, y)
axarr[1, 0].contourf(
x, y, g["rhov"][-1, :, :], cmap=sym_cmap, levels=rhov_levels
)
gridlines(axarr[1, 0], x, y)
axarr[1, 1].contourf(x, y, g["e"][-1, :, :], cmap=e_cmap, levels=e_levels)
gridlines(axarr[1, 1], x, y)
axarr[0, 0].set_title(r"$\rho$")
axarr[0, 0].set_xlabel("x")
axarr[0, 0].set_ylabel("y")
norm = mpl.colors.Normalize(vmin=rho_levels[0], vmax=rho_levels[-1])
sm = plt.cm.ScalarMappable(cmap=sym_cmap, norm=norm)
sm.set_array([])
plt.colorbar(sm, ax=axarr[0, 0])
axarr[0, 1].set_title(r"$\rho u$")
axarr[0, 1].set_xlabel("x")
axarr[0, 1].set_ylabel("y")
norm = mpl.colors.Normalize(vmin=rhou_levels[0], vmax=rhou_levels[-1])
sm = plt.cm.ScalarMappable(cmap=sym_cmap, norm=norm)
sm.set_array([])
plt.colorbar(sm, ax=axarr[0, 1])
axarr[1, 0].set_title(r"$\rho v$")
axarr[1, 0].set_xlabel("x")
axarr[1, 0].set_ylabel("y")
norm = mpl.colors.Normalize(vmin=rhov_levels[0], vmax=rhov_levels[-1])
sm = plt.cm.ScalarMappable(cmap=sym_cmap, norm=norm)
sm.set_array([])
plt.colorbar(sm, ax=axarr[1, 0])
axarr[1, 1].set_title(r"$e$")
axarr[1, 1].set_xlabel("x")
axarr[1, 1].set_ylabel("y")
norm = mpl.colors.Normalize(vmin=e_levels[0], vmax=e_levels[-1])
sm = plt.cm.ScalarMappable(cmap=e_cmap, norm=norm)
sm.set_array([])
plt.colorbar(sm, ax=axarr[1, 1])
if save:
plt.savefig(filename, bbox_inches="tight", dpi=600)
plt.show()
def pressure(rho, rhou, rhov, e):
gamma = 1.4
return (gamma - 1) * (e - (rhou ** 2 + rhov ** 2) / (2 * rho))
def plot_pressure(grids, save: bool, filename="figure.png"):
cmap = plt.get_cmap("RdGy")
Mach = 0.5
gamma = 1.4
p = [
pressure(
g["rho"][-1, :, :],
g["rhou"][-1, :, :],
g["rhov"][-1, :, :],
g["e"][-1, :, :],
)
for g in grids
]
flat_p = np.array([])
for p_ in p:
flat_p = np.append(flat_p, p_)
max_p = np.max(flat_p)
min_p = np.min(flat_p)
p_inf = 1 / (gamma * Mach ** 2)
r = max(max_p - p_inf, p_inf - min_p)
levels = np.linspace(p_inf - r, p_inf + r, 30)
for g, p_ in zip(grids, p):
x = g["x"]
y = g["y"]
plt.contourf(x, y, p_, cmap=cmap, levels=levels)
gridlines(plt, x, y)
plt.title("Pressure")
norm = mpl.colors.Normalize(vmin=levels[0], vmax=levels[-1])
sm = plt.cm.ScalarMappable(cmap=cmap, norm=norm)
sm.set_array([])
plt.colorbar(sm)
plt.xlabel("x")
plt.ylabel("y")
if save:
plt.savefig(filename, bbox_inches="tight", dpi=600)
plt.show()
def plot_pressure_slider(grids, save: bool, filename="figure.png"):
cmap = plt.get_cmap("RdGy")
gamma = 1.4 # Assumption might be wrong
Mach = 0.5
def p(itime):
return [
pressure(
g["rho"][itime, :, :],
g["rhou"][itime, :, :],
g["rhov"][itime, :, :],
g["e"][itime, :, :],
)
for g in grids
]
max_p = 3.0
min_p = 1.75
p_inf = 1 / (gamma * Mach ** 2)
r = max(max_p - p_inf, p_inf - min_p)
levels = np.linspace(p_inf - r, p_inf + r, 30)
fig = plt.figure()
gs = mpl.gridspec.GridSpec(
2, 2, figure=fig, width_ratios=[1, 0.02], height_ratios=[1, 0.02]
)
ax = fig.add_subplot(gs[0, 0])
slider_ax = fig.add_subplot(gs[1, 0])
cbar_ax = fig.add_subplot(gs[0, 1])
xmin, xmax = np.inf, -np.inf
ymin, ymax = np.inf, -np.inf
for g in grids:
x = g["x"]
xmin = min(xmin, x.min())
xmax = max(xmax, x.max())
y = g["y"]
ymin = min(ymin, y.min())
ymax = max(ymax, y.max())
gridlines(ax, x, y)
ax.set_xlim(xmin, xmax)
ax.set_ylim(ymin, ymax)
plt.title("Pressure")
norm = mpl.colors.Normalize(vmin=levels[0], vmax=levels[-1])
sm = plt.cm.ScalarMappable(cmap=cmap, norm=norm)
plt.colorbar(sm, cax=cbar_ax)
plt.xlabel("x")
plt.ylabel("y")
itime = len(t) - 1
slider = mpl.widgets.Slider(
slider_ax, "itime", 0, itime, valinit=itime, valstep=1, valfmt="%0.0f"
)
contours = []
def update(itime):
global contours
contours = []
itime = int(itime)
for ct in contours:
for coll in ct.collections:
coll.remove()
for g in grids:
ct = ax.contourf(
g["x"],
g["y"],
pressure(
g["rho"][itime, :, :],
g["rhou"][itime, :, :],
g["rhov"][itime, :, :],
g["e"][itime, :, :],
),
cmap=cmap,
levels=levels,
)
contours.append(ct)
slider.valtext.set_text(t[itime])
update(itime)
slider.on_changed(update)
plt.show()
def read_from_file(filename):
grids = []
file = h5py.File(filename, "r")
for groupname in file:
group = file[groupname]
if not isinstance(group, h5py.Group):
continue
grids.append(
{
"x": group["x"][:],
"y": group["y"][:],
"rho": group["rho"][:],
"rhou": group["rhou"][:],
"rhov": group["rhov"][:],
"e": group["e"][:],
}
)
return grids, file["t"]
if __name__ == "__main__":
parser = ArgumentParser(description="Plot a solution from the eulersolver")
parser.add_argument("filename", metavar="filename", type=str)
parser.add_argument("-s", help="Save figure", action="store_true", dest="save")
parser.add_argument(
"-o",
help="Output of saved figure",
type=str,
default="figure.png",
dest="output",
)
parser.add_argument(
"-a", help="Show all four variables", action="store_true", dest="all"
)
parser.add_argument("--slider", help="Add slider", action="store_true")
args = parser.parse_args()
filename = args.filename
grids, t = read_from_file(filename)
if args.all:
plot_all(grids, args.save, args.output)
else:
if args.slider:
plot_pressure_slider(grids, t)
else:
plot_pressure(grids, args.save, args.output)