ttim.equation
=============

.. py:module:: ttim.equation


Classes
-------

.. autoapisummary::

   ttim.equation.HeadEquation
   ttim.equation.WellBoreStorageEquation
   ttim.equation.HeadEquationNores
   ttim.equation.LeakyWallEquation
   ttim.equation.MscreenEquation
   ttim.equation.MscreenDitchEquation
   ttim.equation.InhomEquation
   ttim.equation.HeadDiffEquation
   ttim.equation.FluxDiffEquation


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

.. py:class:: HeadEquation

   .. py:method:: equation()

      
      Matrix rows for head-specified conditions.

      Really written as constant potential element.
      Works for nunknowns = 1
      Returns matrix part nunknowns,neq,npval, complex.

      Returns rhs part nunknowns,nvbc,npval, complex
      Phi_out - c*T*q_s = Phi_in
      Well: q_s = Q / (2*pi*r_w*H)
      LineSink: q_s = sigma / H = Q / (L*H)















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.. py:class:: WellBoreStorageEquation

   .. py:method:: equation()

      
      Matrix rows for multi-aquifer well element.

      Element with total given discharge, uniform but unknown head and
      InternalStorageEquation.















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.. py:class:: HeadEquationNores

   .. py:method:: equation()

      
      Mix-in class that returns matrix rows for head-specified conditions.

      (really written as constant potential element) Returns matrix part nunknowns,
      neq, npval, complex Returns rhs part nunknowns, nvbc, npval, complex















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.. py:class:: LeakyWallEquation

   .. py:method:: equation()

      
      Mix-in class that returns matrix rows for leaky-wall condition.

      Returns matrix part (nunknowns,neq,npval), complex
      Returns rhs part (nunknowns,nvbc,npval), complex.















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.. py:class:: MscreenEquation

   .. py:method:: equation()

      
      Matrix rows for multi-screen conditions where total discharge is specified.

      Mix-in class that returns matrix rows for multi-screen conditions where total
      discharge is specified. Works for nunknowns = 1 Returns matrix part nunknowns,
      neq, npval, complex.

      Returns rhs part nunknowns, nvbc, npval, complex
      head_out - c * q_s = h_in
      Set h_i - h_(i + 1) = 0 and Sum Q_i = Q















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.. py:class:: MscreenDitchEquation

   .. py:method:: equation()

      
      Matrix rows for multi-screen conditions where total discharge is specified.

      Returns matrix part nunknowns,neq,npval, complex.
      Returns rhs part nunknowns,nvbc,npval, complex
      head_out - c*q_s = h_in
      Set h_i - h_(i+1) = 0 and Sum Q_i = Q
      I would say
      headin_i - headin_(i+1) = 0
      headout_i - c*qs_i - headout_(i+1) + c*qs_(i+1) = 0
      In case of storage:
      Sum Q_i - A * p^2 * headin = Q















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.. py:class:: InhomEquation

   .. py:method:: equation()

      
      Mix-in class that returns matrix rows for inhomogeneity conditions.
















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.. py:class:: HeadDiffEquation

   .. py:method:: equation()

      
      Mix-in class that returns matrix rows for continuity of head.
















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.. py:class:: FluxDiffEquation

   .. py:method:: equation()

      
      Mix-in class that returns matrix rows for continuity of flow.
















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