tug/docs_sphinx/index.rst
2023-11-01 09:04:55 +01:00

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.. Tug documentation master file, created by
sphinx-quickstart on Mon Aug 14 11:30:23 2023.
You can adapt this file completely to your liking, but it should at least
contain the root `toctree` directive.
Welcome to Tug's documentation!
===============================
Welcome to the documentation of the TUG project, a simulation program
for solving transport equations in one- and two-dimensional uniform
grids using cell centered finite differences.
---------
Diffusion
---------
TUG can solve diffusion problems with heterogeneous and anisotropic
diffusion coefficients. The partial differential equation expressing
diffusion reads:
.. math::
\frac{\partial C}{\partial t} = \nabla \cdot \left[ \mathbf{\alpha} \nabla C \right]
In 2D, the equation reads:
.. math::
\frac{\partial C}{\partial t} = \frac{\partial}{\partial x}\left[ \alpha_x \frac{\partial C}{\partial x}\right] + \frac{\partial}{\partial y}\left[ \alpha_y \frac{\partial C}{\partial y}\right]
.. toctree::
:maxdepth: 2
:caption: Contents:
Indices and tables
==================
* :ref:`genindex`
* :ref:`search`
Table of Contents
^^^^^^^^^^^^^^^^^
.. toctree::
:maxdepth: 2
self
installation
theory
user
developer
examples
visualization
contributors