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zingale committed Aug 30, 2019
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Governing Equations
*******************

The equation set and solution procedure used by MAESTROeX has
changed and improved over time. In this chapter, we outline the model equations
and algorithmic options in the code.
The latest published references for MAESTROeX
are the multilevel paper :cite:`multilevel` and the more recent :cite:`MAESTROeX`.
These two papers use the same model equations, however the
more recent paper, in addition to retaining the original algorithmic
capability of the previous code, includes an option to use a new,
simplified temporal integration scheme.
We distinguish between the
two temporal integration strategies by referring to them as the "original temporal scheme"
and "new temporal scheme".
In this description, we make frequent reference to papers I-IV
and the multilevel paper (see § :ref:`ch:intro`), which describe the developments of the original
The equation set and solution procedure used by MAESTROeX has changed
and improved over time. In this chapter, we outline the model
equations and algorithmic options in the code. The latest published
references for MAESTROeX are the multilevel paper :cite:`multilevel`
and the more recent :cite:`MAESTROeX`. These two papers use the same
model equations, however the more recent paper, in addition to
retaining the original algorithmic capability of the previous code,
includes an option to use a new, simplified temporal integration
scheme. We distinguish between the two temporal integration
strategies by referring to them as the "original temporal scheme" and
"new temporal scheme". In this description, we make frequent
reference to papers I-IV and the multilevel paper (see §
:ref:`ch:intro`), which describe the developments of the original
temporal scheme.

Summary of the MAESTROeX Equation Set
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