lasdi.physics.burgers1d
=======================

.. py:module:: lasdi.physics.burgers1d


Classes
-------

.. autoapisummary::

   lasdi.physics.burgers1d.Burgers1D


Functions
---------

.. autoapisummary::

   lasdi.physics.burgers1d.residual_burgers
   lasdi.physics.burgers1d.jacobian
   lasdi.physics.burgers1d.solver
   lasdi.physics.burgers1d.main


Module Contents
---------------

.. py:class:: Burgers1D(cfg, param_name=None)

   Bases: :py:obj:`lasdi.physics.Physics`


   .. py:attribute:: a_idx
      :value: None



   .. py:attribute:: w_idx
      :value: None



   .. py:attribute:: qdim
      :value: 1



   .. py:attribute:: dim
      :value: 1



   .. py:attribute:: offline
      :value: False



   .. py:attribute:: nt
      :value: None



   .. py:attribute:: grid_size
      :value: None



   .. py:attribute:: qgrid_size
      :value: None


      numpy nd-array, assuming the shape of:
      - 1d: (space_dim[0],)
      - 2d: (2, space_dim[0], space_dim[1])
      - 3d: (3, space_dim[0], space_dim[1], space_dim[2])
      - higher dimension...


   .. py:attribute:: xmin
      :value: None



   .. py:attribute:: xmax
      :value: None



   .. py:attribute:: dx


   .. py:attribute:: tmax
      :value: None



   .. py:attribute:: dt


   .. py:attribute:: x_grid


   .. py:attribute:: t_grid


   .. py:attribute:: maxk
      :value: 10



   .. py:attribute:: convergence_threshold
      :value: 1e-08



   .. py:method:: initial_condition(param)


   .. py:method:: solve(param)


   .. py:method:: export()


   .. py:method:: residual(Xhist)


.. py:function:: residual_burgers(un, uw, c, idxn1)

   Compute 1D Burgers equation residual for generating the data
   from https://github.com/LLNL/gLaSDI and https://github.com/LLNL/LaSDI



.. py:function:: jacobian(u, c, idxn1, nx)

   Compute 1D Burgers equation jacobian for generating the data
   from https://github.com/LLNL/gLaSDI and https://github.com/LLNL/LaSDI



.. py:function:: solver(u0, maxk, convergence_threshold, nt, nx, Dt, Dx)

   Solves 1D Burgers equation for generating the data
   from https://github.com/LLNL/gLaSDI and https://github.com/LLNL/LaSDI



.. py:function:: main()