***********************
Code Verification Tests
***********************
..  
    Copyright (C) Dragan Nikolic
    DAE Tools is free software; you can redistribute it and/or modify it under the
    terms of the GNU General Public License version 3 as published by the Free Software
    Foundation. DAE Tools is distributed in the hope that it will be useful, but WITHOUT
    ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A
    PARTICULAR PURPOSE. See the GNU General Public License for more details.
    You should have received a copy of the GNU General Public License along with the
    DAE Tools software; if not, see <http://www.gnu.org/licenses/>.


=======================   =================================================================
:ref:`tutorial_cv_1`      |tcv_1|
:ref:`tutorial_cv_2`      |tcv_2|
:ref:`tutorial_cv_3`      |tcv_3|
:ref:`tutorial_cv_4`      |tcv_4|
:ref:`tutorial_cv_5`      |tcv_5|
:ref:`tutorial_cv_6`      |tcv_6|
:ref:`tutorial_cv_7`      |tcv_7|
:ref:`tutorial_cv_8`      |tcv_8|
:ref:`tutorial_cv_9`      |tcv_9|
:ref:`tutorial_cv_10`     |tcv_10|
:ref:`tutorial_cv_11`     |tcv_11|
=======================   =================================================================


.. |tcv_1| replace:: Code verification method using the Method of Exact Solutions 
                     (sensitivity analysis; first order differential equations with constant coefficients).

.. |tcv_2| replace:: Code verification method using the Method of Manufactured Solutions
                     (1D transient convection-diffusion equation with Dirichlet boundary conditions).

.. |tcv_3| replace:: Code verification method using the Method of Manufactured Solutions
                     (1D transient convection-diffusion equation with Neumann boundary conditions).

.. |tcv_4| replace:: Code verification method using the Method of Manufactured Solutions
                     (2D transient convection-diffusion equation with Dirichlet boundary conditions).
                    
.. |tcv_5| replace:: Code verification method using the Method of Manufactured Solutions
                     (1D transient conduction equation using the Finite Elements method).
               
.. |tcv_6| replace:: Code verification method using the Method of Exact Solutions
                     (1D homogeneous transient convection-diffusion equation
                     solved using the high-resolution upwind finite volume scheme with flux limiter).
                     
.. |tcv_7| replace:: Code verification method using the Method of Manufactured Solutions
                     (1D steady-state convection-diffusion-reaction equation 
                     solved using the high-resolution upwind finite volume scheme with flux limiter).

.. |tcv_8| replace:: Code verification method using the Method of Manufactured Solutions
                     (1D transient convection-diffusion-reaction equation
                     solved using the high-resolution upwind finite volume scheme with flux limiter).

.. |tcv_9| replace:: Code verification using the Method of Exact Solutions 
                     (Solid Body Rotation problem solved using the Finite Elements method).

.. |tcv_10| replace:: Code verification using the Method of Exact Solutions 
                      (Rotating Gaussian Hill problem solved using the Finite Elements method).
               
.. |tcv_11| replace:: Code verification method using the Method of Exact Solutions
                      (1D homogeneous transient convection-diffusion equation
                      solved using the high-resolution upwind finite volume scheme with flux limiter
                      for the reversed fluid flow).


.. begin-command

.. _tutorial_cv_1:

Code Verification Test 1
========================

.. automodule:: daetools.examples.tutorial_cv_1
   :no-members:
   :no-undoc-members:

.. rubric:: Files

=====================   =================================================================
Model report            `tutorial_cv_1.xml <examples/tutorial_cv_1.xml>`_
Runtime model report    `tutorial_cv_1-rt.xml <examples/tutorial_cv_1-rt.xml>`_
Source code             `tutorial_cv_1.py <examples/tutorial_cv_1.html>`_
=====================   =================================================================


.. _tutorial_cv_2:

Code Verification Test 2
========================

.. automodule:: daetools.examples.tutorial_cv_2
   :no-members:
   :no-undoc-members:

.. rubric:: Files

=====================   =================================================================
Model report            `tutorial_cv_2.xml <examples/tutorial_cv_2.xml>`_
Runtime model report    `tutorial_cv_2-rt.xml <examples/tutorial_cv_2-rt.xml>`_
Source code             `tutorial_cv_2.py <examples/tutorial_cv_2.html>`_
=====================   =================================================================


.. _tutorial_cv_3:

Code Verification Test 3
========================

.. automodule:: daetools.examples.tutorial_cv_3
   :no-members:
   :no-undoc-members:

.. rubric:: Files

=====================   =================================================================
Model report            `tutorial_cv_3.xml <examples/tutorial_cv_3.xml>`_
Runtime model report    `tutorial_cv_3-rt.xml <examples/tutorial_cv_3-rt.xml>`_
Source code             `tutorial_cv_3.py <examples/tutorial_cv_3.html>`_
=====================   =================================================================


.. _tutorial_cv_4:

Code Verification Test 4
========================

.. automodule:: daetools.examples.tutorial_cv_4
   :no-members:
   :no-undoc-members:

.. rubric:: Files

=====================   =================================================================
Model report            `tutorial_cv_4.xml <examples/tutorial_cv_4.xml>`_
Runtime model report    `tutorial_cv_4-rt.xml <examples/tutorial_cv_4-rt.xml>`_
Source code             `tutorial_cv_4.py <examples/tutorial_cv_4.html>`_
=====================   =================================================================


.. _tutorial_cv_5:

Code Verification Test 5
========================

.. automodule:: daetools.examples.tutorial_cv_5
   :no-members:
   :no-undoc-members:

.. rubric:: Files

=====================   =================================================================
Model report            `tutorial_cv_5.xml <examples/tutorial_cv_5.xml>`_
Runtime model report    `tutorial_cv_5-rt.xml <examples/tutorial_cv_5-rt.xml>`_
Source code             `tutorial_cv_5.py <examples/tutorial_cv_5.html>`_
=====================   =================================================================


.. _tutorial_cv_6:

Code Verification Test 6
========================

.. automodule:: daetools.examples.tutorial_cv_6
   :no-members:
   :no-undoc-members:

.. rubric:: Files

=====================   =================================================================
Model report            `tutorial_cv_6.xml <examples/tutorial_cv_6.xml>`_
Runtime model report    `tutorial_cv_6-rt.xml <examples/tutorial_cv_6-rt.xml>`_
Source code             `tutorial_cv_6.py <examples/tutorial_cv_6.html>`_
=====================   =================================================================


.. _tutorial_cv_7:

Code Verification Test 7
========================

.. automodule:: daetools.examples.tutorial_cv_7
   :no-members:
   :no-undoc-members:

.. rubric:: Files

=====================   =================================================================
Model report            `tutorial_cv_7.xml <examples/tutorial_cv_7.xml>`_
Runtime model report    `tutorial_cv_7-rt.xml <examples/tutorial_cv_7-rt.xml>`_
Source code             `tutorial_cv_7.py <examples/tutorial_cv_7.html>`_
=====================   =================================================================


.. _tutorial_cv_8:

Code Verification Test 8
========================

.. automodule:: daetools.examples.tutorial_cv_8
   :no-members:
   :no-undoc-members:

.. rubric:: Files

=====================   =================================================================
Model report            `tutorial_cv_8.xml <examples/tutorial_cv_8.xml>`_
Runtime model report    `tutorial_cv_8-rt.xml <examples/tutorial_cv_8-rt.xml>`_
Source code             `tutorial_cv_8.py <examples/tutorial_cv_8.html>`_
=====================   =================================================================

.. _tutorial_cv_9:

Code Verification Test 9
========================

.. automodule:: daetools.examples.tutorial_cv_9
    :no-members:
    :no-undoc-members:

.. 
  Animated gif created using png images from VisIt (size 426x400 px):
    convert -delay 1x20 -loop 0 movie00*.png animation.gif
  
.. rubric:: Files

=====================   =================================================================
Model report            `tutorial_cv_9.xml <examples/tutorial_cv_9.xml>`_
Runtime model report    `tutorial_cv_9-rt.xml <examples/tutorial_cv_9-rt.xml>`_
Source code             `tutorial_cv_9.py <examples/tutorial_cv_9.html>`_
=====================   =================================================================

.. _tutorial_cv_10:

Code Verification Test 10
=========================

.. automodule:: daetools.examples.tutorial_cv_10
    :no-members:
    :no-undoc-members:

.. rubric:: Files

=====================   =================================================================
Model report            `tutorial_cv_10.xml <examples/tutorial_cv_10.xml>`_
Runtime model report    `tutorial_cv_10-rt.xml <examples/tutorial_cv_10-rt.xml>`_
Source code             `tutorial_cv_10.py <examples/tutorial_cv_10.html>`_
=====================   =================================================================


.. _tutorial_cv_11:

Code Verification Test 11
=========================

.. automodule:: daetools.examples.tutorial_cv_11
    :no-members:
    :no-undoc-members:

.. rubric:: Files

=====================   =================================================================
Model report            `tutorial_cv_11.xml <examples/tutorial_cv_11.xml>`_
Runtime model report    `tutorial_cv_11-rt.xml <examples/tutorial_cv_11-rt.xml>`_
Source code             `tutorial_cv_11.py <examples/tutorial_cv_11.html>`_
=====================   =================================================================

.. end-command