Implement surface flux tallies (#3742)

Co-authored-by: Paul Romano <paul.k.romano@gmail.com>

docs/source/methods/tallies.rst

@@ -205,7 +205,71 @@ had a collision at every event. Thus, for tallies with outgoing-energy filters
 or for tallies of scattering moments (which require the scattering cosine of
 the change-in-angle), we must use an analog estimator.
 
-.. TODO: Add description of surface current tallies
+-----------------------------------
+Surface-Integrated Flux and Current
+-----------------------------------
+
+Surface tallies allow you to measure particle behavior as they cross specific
+boundaries in your geometry. Unlike volume tallies, which integrate over a
+volumetric region, surface tallies capture the current or flux passing through a
+surface. Surface tallies are estimated using an analog estimator.
+
+Current Score
+-------------
+
+When tallying the current across a surface, we simply count the weight of
+particles that cross the surface of interest:
+
+
+.. math::
+    :label: analog-current-estimator
+
+    J = \frac{1}{W} \sum_{i \in S} w_i.
+
+where :math:`J` is the area-integrated current passing through surface
+:math:`S`, :math:`W` is the total starting weight of the particles, and
+:math:`w_i` is the weight of the particle as it crosses the surface :math:`S`.
+
+Flux Score
+----------
+
+When tallying flux over a surface, we use the relationship between current and
+flux:
+
+
+.. math::
+    :label: surface-flux-estimator
+
+    \phi_S = \frac{1}{W} \sum_{i \in S} \frac{w_i}{|\mu|}.
+
+where :math:`\phi_S` is the area-integrated flux over surface :math:`S`,
+:math:`W` is the total starting weight of the particles, :math:`w_i` is the
+weight of the particle as it crosses the surface :math:`S` and :math:`\mu` is
+the cosine of angle between the particle direction and the surface normal.
+
+This equation diverges when the particle crossing the surface is nearly parallel
+to it (that is, as :math:`\mu` approaches zero). To remove this divergence,
+OpenMC scores:
+
+.. math::
+    :label: modified-surface-flux-estimator
+
+    \phi_S = \frac{1}{W} \sum_{i \in S} w_i f(\mu).
+
+and the function :math:`f` is defined by:
+
+.. math::
+     f(\mu) = \begin{cases}
+      \frac{1}{|\mu|} & |\mu| > \mu_\text{cut} \\
+      \frac{1}{c\mu_\text{cut}} & |\mu| \le \mu_\text{cut}
+     \end{cases}
+
+where :math:`\mu_\text{cut}` is the grazing cosine cutoff and :math:`c` is the
+cosine substitution ratio. The parameters :math:`\mu_\text{cut}` and :math:`c`
+can be set by the user via the :attr:`openmc.Settings.surface_grazing_cutoff`
+and :attr:`openmc.Settings.surface_grazing_ratio` attributes, respectively. The
+default values for these parameters are 0.001 and 0.5 as recommended by
+`Favorite, Thomas, and Booth <https://doi.org/10.13182/NSE09-72>`_.
 
 .. _tallies_statistics: