Packaged code for PyPI by nagannhh

diffusion2d_packages/diffusion2d.py

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+"""
+Solving the two-dimensional diffusion equation
+
+Example acquired from https://scipython.com/book/chapter-7-matplotlib/examples/the-two-dimensional-diffusion-equation/
+"""
+
+import numpy as np
+import matplotlib.pyplot as plt
+from output import create_plot, output_plots
+
+def solve(dx = 0.1 ,dy = 0.1,D = 4.):
+    # plate size, mm
+    w = h = 10.
+    # intervals in x-, y- directions, mm
+
+    # Thermal diffusivity of steel, mm^2/s
+
+
+    # Initial cold temperature of square domain
+    T_cold = 300
+
+    # Initial hot temperature of circular disc at the center
+    T_hot = 700
+
+    # Number of discrete mesh points in X and Y directions
+    nx, ny = int(w / dx), int(h / dy)
+
+    # Computing a stable time step
+    dx2, dy2 = dx * dx, dy * dy
+    dt = dx2 * dy2 / (2 * D * (dx2 + dy2))
+
+    print("dt = {}".format(dt))
+
+    u0 = T_cold * np.ones((nx, ny))
+    u = u0.copy()
+
+    # Initial conditions - circle of radius r centred at (cx,cy) (mm)
+    r = min(h, w) / 4.0
+    cx = w / 2.0
+    cy = h / 2.0
+    r2 = r ** 2
+    for i in range(nx):
+        for j in range(ny):
+            p2 = (i * dx - cx) ** 2 + (j * dy - cy) ** 2
+            if p2 < r2:
+                u0[i, j] = T_hot
+
+
+    def do_timestep(u_nm1, u, D, dt, dx2, dy2):
+        # Propagate with forward-difference in time, central-difference in space
+        u[1:-1, 1:-1] = u_nm1[1:-1, 1:-1] + D * dt * (
+                (u_nm1[2:, 1:-1] - 2 * u_nm1[1:-1, 1:-1] + u_nm1[:-2, 1:-1]) / dx2
+                + (u_nm1[1:-1, 2:] - 2 * u_nm1[1:-1, 1:-1] + u_nm1[1:-1, :-2]) / dy2)
+
+        u_nm1 = u.copy()
+        return u_nm1, u
+
+
+    # Number of timesteps
+    nsteps = 101
+    # Output 4 figures at these timesteps
+    n_output = [0, 10, 50, 100]
+    fig_counter = 0
+    fig = plt.figure()
+
+    # Time loop
+    for n in range(nsteps):
+        u0, u = do_timestep(u0, u, D, dt, dx2, dy2)
+
+        # Create figure
+        if n in n_output:
+            fig_counter += 1
+            im=create_plot(u, n * dt, T_cold, T_hot, fig_counter, fig)
+
+    # Plot output figures
+    output_plots(fig, im)
+
+if __name__ == "__main__":
+    solve()

diffusion2d_packages/output.py

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+from matplotlib import pyplot as plt
+
+def create_plot(u, timestep, T_cold, T_hot, fig_counter, fig):
+
+    ax = fig.add_subplot(220 + fig_counter)
+    im = ax.imshow(u.copy(), cmap=plt.get_cmap('hot'), vmin=T_cold, vmax=T_hot)
+    ax.set_axis_off()
+    ax.set_title(f'{timestep:.1f} ms')
+    return im  # Returning im to be used for the colorbar
+
+def output_plots(fig, im):
+
+    fig.subplots_adjust(right=0.85)
+    cbar_ax = fig.add_axes([0.9, 0.15, 0.03, 0.7])
+    cbar_ax.set_xlabel('$T$ / K', labelpad=20)
+    fig.colorbar(im, cax=cbar_ax)
+    plt.show()

nagannhh_packages.egg-info/PKG-INFO

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+Metadata-Version: 2.1
+Name: nagannhh_packages
+Version: 0.0.1
+Summary: A package to solve 2D diffusion equation test exercise
+Home-page: https://github.com/harshithn31/diffusion2D
+Author: nagannhh
+License-File: LICENSE
+Requires-Dist: numpy>=2.1.3
+Requires-Dist: matplotlib>=3.9.2
+Requires-Dist: setuptools>=75.5.0

nagannhh_packages.egg-info/SOURCES.txt

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+LICENSE
+README.md
+setup.cfg
+setup.py
+diffusion2d_packages/__init__.py
+diffusion2d_packages/diffusion2d.py
+diffusion2d_packages/output.py
+nagannhh_packages.egg-info/PKG-INFO
+nagannhh_packages.egg-info/SOURCES.txt
+nagannhh_packages.egg-info/dependency_links.txt
+nagannhh_packages.egg-info/entry_points.txt
+nagannhh_packages.egg-info/requires.txt
+nagannhh_packages.egg-info/top_level.txt

nagannhh_packages.egg-info/dependency_links.txt

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+

nagannhh_packages.egg-info/entry_points.txt

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+[console_scripts]
+diffusion2d-solve = diffusion2d_packages.diffusion2d:solve

nagannhh_packages.egg-info/requires.txt

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+numpy>=2.1.3
+matplotlib>=3.9.2
+setuptools>=75.5.0

nagannhh_packages.egg-info/top_level.txt

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+diffusion2d_packages

setup.cfg

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+[metadata]
+name = nagannhh_packages
+version = 0.0.1
+author = nagannhh
+url = https://github.com/harshithn31/diffusion2D
+description = A package to solve 2D diffusion equation test exercise
+
+[options]
+packages = find:
+install_requires =
+  numpy>=2.1.3
+  matplotlib>=3.9.2
+  setuptools>=75.5.0
+
+[options.entry_points]
+console_scripts =
+  diffusion2d-solve = diffusion2d_packages.diffusion2d:solve

setup.py

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+from setuptools import setup
+
+if __name__ == "__main__":
+  setup()

test.py

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+import diffusion2d_packages.diffusion2d
+diffusion2d_packages.diffusion2d.solve()