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Packaged code for PyPI by sashanje #7

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17 changes: 17 additions & 0 deletions README.md
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Expand Up @@ -8,12 +8,29 @@ The code used in this exercise is based on [Chapter 7 of the book "Learning Scie

## 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
pip install -i https://test.pypi.org/simple/ sashanje-diffusion2d --extra-index-url https://pypi.org/simple

### Required dependencies
matplotlib
numpy

## Running this package

```python
from sashanje_diffusion2d import diffusion2d

diffusion2d.solve(
dx = 0.1, # intervals in x- direction, mm
dy = 0.1, # intervals in y- direction, mm
D = 4 # Thermal diffusivity of steel, mm^2/s
)
```

## Citing
Forked from https://github.com/Simulation-Software-Engineering/diffusion2D
[pypi_exercise.md](https://github.com/Simulation-Software-Engineering/Lecture-Material/blob/main/03_building_and_packaging/pypi_exercise.md)
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22 changes: 22 additions & 0 deletions pyproject.toml
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[build-system]
requires = ["setuptools"]

[project]
name = "sashanje_diffusion2d"
authors = [
{name = "Sashan Samarajeewa"},
]
version = "0.0.3"
description = "Solves the diffusion equation in 2D over a square domain"
readme = "README.md"
keywords = ["diffusion", "simulation"]
classifiers = [
"Programming Language :: Python :: 3"
]
dependencies = [
"numpy",
"matplotlib"
]

[project.urls]
"Homepage" = "https://github.com/Simulation-Software-Engineering/diffusion2D"
49 changes: 49 additions & 0 deletions sashanje_diffusion2d.egg-info/PKG-INFO
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Metadata-Version: 2.1
Name: sashanje_diffusion2d
Version: 0.0.3
Summary: Solves the diffusion equation in 2D over a square domain
Author: Sashan Samarajeewa
Project-URL: Homepage, https://github.com/Simulation-Software-Engineering/diffusion2D
Keywords: diffusion,simulation
Classifier: Programming Language :: Python :: 3
Description-Content-Type: text/markdown
License-File: LICENSE
Requires-Dist: numpy
Requires-Dist: matplotlib

# 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
pip install -i https://test.pypi.org/simple/ sashanje-diffusion2d --extra-index-url https://pypi.org/simple

### Required dependencies
matplotlib
numpy

## Running this package

```python
from sashanje_diffusion2d import diffusion2d

diffusion2d.solve(
dx = 0.1, # intervals in x- direction, mm
dy = 0.1, # intervals in y- direction, mm
D = 4 # Thermal diffusivity of steel, mm^2/s
)
```

## Citing
Forked from https://github.com/Simulation-Software-Engineering/diffusion2D
[pypi_exercise.md](https://github.com/Simulation-Software-Engineering/Lecture-Material/blob/main/03_building_and_packaging/pypi_exercise.md)
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LICENSE
README.md
pyproject.toml
sashanje_diffusion2d/__init__.py
sashanje_diffusion2d/diffusion2d.py
sashanje_diffusion2d/output.py
sashanje_diffusion2d.egg-info/PKG-INFO
sashanje_diffusion2d.egg-info/SOURCES.txt
sashanje_diffusion2d.egg-info/dependency_links.txt
sashanje_diffusion2d.egg-info/requires.txt
sashanje_diffusion2d.egg-info/top_level.txt
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numpy
matplotlib
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sashanje_diffusion2d
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75 changes: 75 additions & 0 deletions sashanje_diffusion2d/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 sashanje_diffusion2d.output import create_plot, output_plots

def solve(dx=0.1, dy=0.1, D=4):
# plate size, mm
w = h = 10.

# 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

# 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 = create_plot(n, plt, u, ax, T_cold, T_hot, dt)

# Plot output figures
output_plots(fig, plt, im)


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



12 changes: 12 additions & 0 deletions sashanje_diffusion2d/output.py
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def create_plot(n, plt, u, ax, T_cold, T_hot, dt):
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

def output_plots(fig, plt, 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()