From 9dc8be7744620aa8deb3ed5a4dfde55882314467 Mon Sep 17 00:00:00 2001 From: 365Bit <20995752+365Bit@users.noreply.github.com> Date: Mon, 18 Nov 2024 16:04:39 +0100 Subject: [PATCH] Refactored and packaged code --- .gitignore | 4 ++ README.md | 21 ++++++++ diffusion2d.py | 81 ---------------------------- figures/initial.png | Bin 0 -> 46943 bytes figures/testpypI.png | Bin 0 -> 237786 bytes pyproject.toml | 26 +++++++++ setup.py | 11 ++++ test.py | 3 ++ tischlre_diffusion2d/__init__.py | 0 tischlre_diffusion2d/diffusion2d.py | 75 ++++++++++++++++++++++++++ tischlre_diffusion2d/output.py | 16 ++++++ 11 files changed, 156 insertions(+), 81 deletions(-) create mode 100644 .gitignore delete mode 100644 diffusion2d.py create mode 100644 figures/initial.png create mode 100644 figures/testpypI.png create mode 100644 pyproject.toml create mode 100644 setup.py create mode 100644 test.py create mode 100644 tischlre_diffusion2d/__init__.py create mode 100644 tischlre_diffusion2d/diffusion2d.py create mode 100644 tischlre_diffusion2d/output.py diff --git a/.gitignore b/.gitignore new file mode 100644 index 00000000..06d6d439 --- /dev/null +++ b/.gitignore @@ -0,0 +1,4 @@ +__pycache__/ +build/ +dist/ +*.egg-info/ \ No newline at end of file diff --git a/README.md b/README.md index fe548354..d0580f29 100644 --- a/README.md +++ b/README.md @@ -8,12 +8,33 @@ The code used in this exercise is based on [Chapter 7 of the book "Learning Scie ## Project description +This code simulates the 2D diffusion equation on a square domain, with the entire domain set to an initial temperature and a circular disc at the center maintained at a higher temperature. +Using the Finite Difference Method, the code solves the diffusion equation, allowing the user to adjust the thermal diffusivity and initial conditions of the system. +The simulation outputs four plots at different time points, vividly illustrating the progression of the diffusion process. + ## Installing the package ### Using pip3 to install from PyPI +```bash +pip install --user --index-url https://test.pypi.org/simple/ tischlre_diffusion2d +``` + ### Required dependencies +```bash +pip install numpy matplotlib +``` + ## Running this package +```python +from tischlre_diffusion2d.diffusion2d import solve + +solve(dx = 0.1, dy = 0.1, D = 4) +``` + ## Citing + + +This was forked from https://github.com/Simulation-Software-Engineering/diffusion2D. \ No newline at end of file diff --git a/diffusion2d.py b/diffusion2d.py deleted file mode 100644 index c0c6083a..00000000 --- a/diffusion2d.py +++ /dev/null @@ -1,81 +0,0 @@ -""" -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 - -# plate size, mm -w = h = 10. -# intervals in x-, y- directions, mm -dx = dy = 0.1 -# Thermal diffusivity of steel, mm^2/s -D = 4. - -# 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 - ax = fig.add_subplot(220 + fig_counter) - im = ax.imshow(u.copy(), cmap=plt.get_cmap('hot'), vmin=T_cold, vmax=T_hot) # image for color bar axes - ax.set_axis_off() - ax.set_title('{:.1f} ms'.format(n * dt * 1000)) - -# Plot output figures -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() diff --git a/figures/initial.png b/figures/initial.png new file mode 100644 index 0000000000000000000000000000000000000000..42b9491d2147bf872b2a8138e00a5d13758398a6 GIT binary patch literal 46943 zcmeFZXHZm2)HXUp&PYb0WR(m8L&gLmND!5rBuknh=OO2yhzODdQBV+&IOHKm34-J> 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