256 lines
7.2 KiB
Python
Executable File
256 lines
7.2 KiB
Python
Executable File
#! /usr/bin/env python3
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import matplotlib as mpl
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import matplotlib.pyplot as plt
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import numpy as np
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import h5py
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import os
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from argparse import ArgumentParser
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def gridlines(obj, x, y):
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for j in range(1, x.shape[0] - 1):
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obj.plot(x[j, :], y[j, :], color="#7f7f7f", linewidth=0.1, alpha=0.3)
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for j in range(1, x.shape[1] - 1):
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obj.plot(x[:, j], y[:, j], color="#7f7f7f", linewidth=0.1, alpha=0.3)
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obj.plot(x[0, :], y[0, :], color="#7f7f7f", linewidth=0.2)
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obj.plot(x[-1, :], y[-1, :], color="#7f7f7f", linewidth=0.2)
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obj.plot(x[:, 0], y[:, 0], color="#7f7f7f", linewidth=0.2)
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obj.plot(x[:, -1], y[:, -1], color="#7f7f7f", linewidth=0.2)
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def plot_all(grids, error: bool, save: bool, filename="figure.png"):
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sym_cmap = plt.get_cmap("PiYG") # Symmetric around zero
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if error:
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e_cmap = sym_cmap
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else:
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e_cmap = plt.get_cmap("Greys")
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f, axarr = plt.subplots(2, 2)
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min_rho = min(np.min(g["rho"]) for g in grids)
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max_rho = max(np.max(g["rho"]) for g in grids)
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if error:
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r = 1.2 * max(abs(min_rho), abs(max_rho))
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rho_levels = np.linspace(-r, r, 34)
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else:
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r = 1.2 * max(abs(min_rho - 1), abs(max_rho - 1))
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rho_levels = np.linspace(1 - r, 1 + r, 34)
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min_rhou = min(np.min(g["rhou"]) for g in grids)
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max_rhou = max(np.max(g["rhov"]) for g in grids)
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if error:
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r = 1.2 * max(abs(min_rhou), abs(max_rhou))
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rhou_levels = np.linspace(-r, r, 20)
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else:
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r = 1.2 * max(abs(min_rhou - 1), abs(max_rhou - 1))
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rhou_levels = np.linspace(1 - r, 1 + r, 20)
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min_rhov = min(np.min(g["rhov"]) for g in grids)
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max_rhov = max(np.max(g["rhov"]) for g in grids)
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r = 1.2 * max(abs(min_rhov), abs(max_rhov))
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rhov_levels = np.linspace(-r, r, 20)
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min_e = min(np.min(g["e"]) for g in grids)
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max_e = max(np.max(g["e"]) for g in grids)
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if error:
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r = max(abs(min_e), abs(max_e))
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e_levels = np.linspace(-r, r, 20)
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else:
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e_levels = np.linspace(min_e, max_e)
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for g in grids:
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x = g["x"]
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y = g["y"]
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axarr[0, 0].contourf(x, y, g["rho"], cmap=sym_cmap, levels=rho_levels)
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gridlines(axarr[0, 0], x, y)
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axarr[0, 1].contourf(x, y, g["rhou"], cmap=sym_cmap, levels=rhou_levels)
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gridlines(axarr[0, 1], x, y)
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axarr[1, 0].contourf(x, y, g["rhov"], cmap=sym_cmap, levels=rhov_levels)
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gridlines(axarr[1, 0], x, y)
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axarr[1, 1].contourf(x, y, g["e"], cmap=e_cmap, levels=e_levels)
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gridlines(axarr[1, 1], x, y)
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axarr[0, 0].set_title(r"$\rho$")
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axarr[0, 0].set_xlabel("x")
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axarr[0, 0].set_ylabel("y")
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norm = mpl.colors.Normalize(vmin=rho_levels[0], vmax=rho_levels[-1])
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sm = plt.cm.ScalarMappable(cmap=sym_cmap, norm=norm)
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sm.set_array([])
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plt.colorbar(sm, ax=axarr[0, 0])
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axarr[0, 1].set_title(r"$\rho u$")
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axarr[0, 1].set_xlabel("x")
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axarr[0, 1].set_ylabel("y")
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norm = mpl.colors.Normalize(vmin=rhou_levels[0], vmax=rhou_levels[-1])
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sm = plt.cm.ScalarMappable(cmap=sym_cmap, norm=norm)
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sm.set_array([])
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plt.colorbar(sm, ax=axarr[0, 1])
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axarr[1, 0].set_title(r"$\rho v$")
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axarr[1, 0].set_xlabel("x")
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axarr[1, 0].set_ylabel("y")
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norm = mpl.colors.Normalize(vmin=rhov_levels[0], vmax=rhov_levels[-1])
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sm = plt.cm.ScalarMappable(cmap=sym_cmap, norm=norm)
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sm.set_array([])
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plt.colorbar(sm, ax=axarr[1, 0])
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axarr[1, 1].set_title(r"$e$")
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axarr[1, 1].set_xlabel("x")
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axarr[1, 1].set_ylabel("y")
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norm = mpl.colors.Normalize(vmin=e_levels[0], vmax=e_levels[-1])
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sm = plt.cm.ScalarMappable(cmap=e_cmap, norm=norm)
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sm.set_array([])
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plt.colorbar(sm, ax=axarr[1, 1])
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if save:
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plt.savefig(filename, bbox_inches="tight", dpi=600)
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plt.show()
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def plot_total_error(grids, save: bool, filename="figure.png"):
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cmap = plt.get_cmap("Greys")
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total_err = [
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np.abs(g["rho"]) + np.abs(g["rhou"]) + np.abs(g["rhov"]) + np.abs(g["e"])
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for g in grids
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]
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r = max(np.max(err) for err in total_err)
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levels = np.linspace(0, r, 30)
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for g, err in zip(grids, total_err):
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x = g["x"]
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y = g["y"]
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plt.contourf(x, y, err, cmap=cmap, levels=levels)
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gridlines(plt, x, y)
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plt.title("Total error")
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norm = mpl.colors.Normalize(vmin=levels[0], vmax=levels[-1])
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sm = plt.cm.ScalarMappable(cmap=cmap, norm=norm)
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sm.set_array([])
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plt.colorbar(sm)
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plt.xlabel("x")
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plt.ylabel("y")
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if save:
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plt.savefig(args.output, bbox_inches="tight", dpi=600)
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plt.show()
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def plot_pressure(grids, save: bool, filename="figure.png"):
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cmap = plt.get_cmap("RdGy")
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gamma = 1.4 # Assumption might be wrong
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Mach = 0.5
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p = [
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(gamma - 1) * (g["e"] - (g["rhou"] ** 2 + g["rhov"] ** 2) / (2 * g["rho"]))
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for g in grids
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]
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flat_p = np.array([])
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for p_ in p:
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flat_p = np.append(flat_p, p_)
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max_p = np.max(flat_p)
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min_p = np.min(flat_p)
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p_inf = 1 / (gamma * Mach ** 2)
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r = max(max_p - p_inf, p_inf - min_p)
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levels = np.linspace(p_inf - r, p_inf + r, 30)
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for g, p_ in zip(grids, p):
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x = g["x"]
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y = g["y"]
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plt.contourf(x, y, p_, cmap=cmap, levels=levels)
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gridlines(plt, x, y)
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plt.title("Pressure")
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norm = mpl.colors.Normalize(vmin=levels[0], vmax=levels[-1])
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sm = plt.cm.ScalarMappable(cmap=cmap, norm=norm)
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sm.set_array([])
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plt.colorbar(sm)
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plt.xlabel("x")
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plt.ylabel("y")
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if save:
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plt.savefig(filename, bbox_inches="tight", dpi=600)
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plt.show()
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def read_from_file(filename):
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grids = []
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file = h5py.File(filename, "r")
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for groupname in file:
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group = file[groupname]
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if not isinstance(group, h5py.Group):
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continue
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grids.append(
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{
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"x": group["x"][:],
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"y": group["y"][:],
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"rho": group["rho"][-1, :, :],
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"rhou": group["rhou"][-1, :, :],
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"rhov": group["rhov"][-1, :, :],
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"e": group["e"][-1, :, :],
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}
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)
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return grids
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if __name__ == "__main__":
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parser = ArgumentParser(description="Plot a solution from the eulersolver")
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parser.add_argument("filename", metavar="filename", type=str)
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parser.add_argument(
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"-e",
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help="Scale is centered around zero (implies -a)",
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action="store_true",
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dest="error",
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)
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parser.add_argument(
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"-te", help="Plots total error", action="store_true", dest="total_error"
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)
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parser.add_argument("-s", help="Save figure", action="store_true", dest="save")
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parser.add_argument(
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"-o",
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help="Output of saved figure",
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type=str,
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default="figure.png",
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dest="output",
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)
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parser.add_argument(
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"-a", help="Show all four variables", action="store_true", dest="all"
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)
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args = parser.parse_args()
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filename = args.filename
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if not os.path.isfile(filename):
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filename = "solution{:03}.bin".format(int(filename))
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grids = read_from_file(filename)
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if args.all or args.error:
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plot_all(grids, args.error, args.save, args.output)
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elif args.total_error:
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plot_total_error(grids, args.save, args.output)
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else:
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plot_pressure(grids, args.save, args.output)
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