From 54e8380be641e20ded5ce0e7104747780b7fdf75 Mon Sep 17 00:00:00 2001 From: SchitingLuo Date: Tue, 19 Nov 2024 21:09:22 +0100 Subject: [PATCH] diffusion 2d package --- LICENSE | 396 ++++++++++++++++++ README.md | 34 ++ diff_plot_1.png | Bin 0 -> 46943 bytes diff_plot_2.png | Bin 0 -> 46943 bytes dist/luosg_diffusion2d-0.0.1-py3-none-any.whl | Bin 0 -> 16079 bytes dist/luosg_diffusion2d-0.0.1.tar.gz | Bin 0 -> 17238 bytes luosg_diffusion2d/__init__.py | 0 .../__pycache__/__init__.cpython-38.pyc | Bin 0 -> 163 bytes .../__pycache__/diffusion2d.cpython-38.pyc | Bin 0 -> 1695 bytes .../__pycache__/output.cpython-38.pyc | Bin 0 -> 921 bytes luosg_diffusion2d/diffusion2d.py | 73 ++++ luosg_diffusion2d/output.py | 16 + pyproject.toml | 28 ++ setup.py | 4 + test.py | 3 + 15 files changed, 554 insertions(+) create mode 100644 LICENSE create mode 100644 README.md create mode 100644 diff_plot_1.png create mode 100644 diff_plot_2.png create mode 100644 dist/luosg_diffusion2d-0.0.1-py3-none-any.whl create mode 100644 dist/luosg_diffusion2d-0.0.1.tar.gz create mode 100644 luosg_diffusion2d/__init__.py create mode 100644 luosg_diffusion2d/__pycache__/__init__.cpython-38.pyc create mode 100644 luosg_diffusion2d/__pycache__/diffusion2d.cpython-38.pyc create mode 100644 luosg_diffusion2d/__pycache__/output.cpython-38.pyc create mode 100644 luosg_diffusion2d/diffusion2d.py create mode 100644 luosg_diffusion2d/output.py create mode 100644 pyproject.toml create mode 100644 setup.py create mode 100644 test.py diff --git a/LICENSE b/LICENSE new file mode 100644 index 00000000..56902ed9 --- /dev/null +++ b/LICENSE @@ -0,0 +1,396 @@ +Attribution 4.0 International + +======================================================================= + +Creative Commons Corporation ("Creative Commons") is not a law firm and +does not provide legal services or legal advice. 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For +the avoidance of doubt, this paragraph does not form part of the +public licenses. + +Creative Commons may be contacted at creativecommons.org. + diff --git a/README.md b/README.md new file mode 100644 index 00000000..056000eb --- /dev/null +++ b/README.md @@ -0,0 +1,34 @@ +# diffusion2D + +## Instructions for students + +Please follow the instructions in [pypi_exercise.md](https://github.com/Simulation-Software-Engineering/Lecture-Material/blob/main/03_building_and_packaging/pypi_exercise.md). + +The code used in this exercise is based on [Chapter 7 of the book "Learning Scientific Programming with Python"](https://scipython.com/book/chapter-7-matplotlib/examples/the-two-dimensional-diffusion-equation/). + +## Project description +This code solves the diffusion equation in 2D over a square domain which is at a certain temperature and a circular disc at the center which is at a higher temperature. This code solves the diffusion equation using the Finite Difference Method. The thermal diffusivity and initial conditions of the system can be changed by the user. The code produces four plots at various timepoints of the simulation. The diffusion process can be clearly observed in these plots. + +## Installing the package + +### Using pip3 to install from PyPI + +```bash +pip install -i https://test.pypi.org/simple/ luosg-diffusion2d==0.0.1 +``` + +### Required dependencies + +- **Python** >= 3.6 +- **NumPy** +- **Matplotlib** + +## Running this package +Following Commands could be run in python Shell: +```python +>>> from luosg_diffusion2d import diffusion2d +>>> diffusion2d.solve() +``` + +## Citing +Instructions in [pypi_exercise.md](https://github.com/Simulation-Software-Engineering/Lecture-Material/blob/main/03_building_and_packaging/pypi_exercise.md). \ No newline at end of file diff --git a/diff_plot_1.png b/diff_plot_1.png new file mode 100644 index 0000000000000000000000000000000000000000..67145b16c2b21d4cc90ea30e07fe5ee1f3fcfa64 GIT binary patch literal 46943 zcmeFZXHZm2)HXUp&PYb0l9dbsL&k(6NL0y5vZNVu9&!$fh#*N21qA_#LmqOJAV>}a zNJgUMbbCDKy!E|xt8U#N_vfvWlG@Ddy}Nt$>b0KrJS$35{Q)@%6A1(YAy;{LPa6Wk 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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: + im, fig_counter = create_plot(T_cold, T_hot, dt, u, fig_counter, fig, n) + + # Plot output figures + output_plots(fig, im) \ No newline at end of file diff --git a/luosg_diffusion2d/output.py b/luosg_diffusion2d/output.py new file mode 100644 index 00000000..571c1602 --- /dev/null +++ b/luosg_diffusion2d/output.py @@ -0,0 +1,16 @@ +import matplotlib.pyplot as plt + +def create_plot(T_cold, T_hot, dt, u, fig_counter, fig, n): + 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)) + return im, fig_counter + +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() \ No newline at end of file diff --git a/pyproject.toml b/pyproject.toml new file mode 100644 index 00000000..3d4f7b2c --- /dev/null +++ b/pyproject.toml @@ -0,0 +1,28 @@ +[build-system] +requires = ["setuptools", "wheel"] + +[project] +name = "luosg_diffusion2d" +version = "0.0.1" +authors = [ + {name="Luo, Shiting", email="schitingluo@gmail.com"} +] +description = "2D diffusion equation simulation" +readme = "README.md" +requires-python = ">=3.6" +license = { file = "LICENSE" } +keywords = ["sse", "2D diffusion"] +classifiers = [ + "Programming Language :: Python :: 3", +] +dependencies = [ + "numpy", + "matplotlib", +] + +[project.urls] +Homepage = "https://github.com/Simulation-Software-Engineering/diffusion2D" + + +[project.entry-points."simulation"] +solve = "luosg_diffusion2d:solve" \ No newline at end of file diff --git a/setup.py b/setup.py new file mode 100644 index 00000000..e342256e --- /dev/null +++ b/setup.py @@ -0,0 +1,4 @@ +from setuptools import setup + +if __name__ == "__main__": + setup() \ No newline at end of file diff --git a/test.py b/test.py new file mode 100644 index 00000000..45974a6f --- /dev/null +++ b/test.py @@ -0,0 +1,3 @@ +from luosg_diffusion2d.diffusion2d import solve + +solve(dx = 0.1, dy = 0.1, D = 4) \ No newline at end of file