diff --git a/docs/source/methods/cmfd.rst b/docs/source/methods/cmfd.rst index 39573c2fa..78472df37 100644 --- a/docs/source/methods/cmfd.rst +++ b/docs/source/methods/cmfd.rst @@ -77,7 +77,7 @@ In eq. :eq:`eq_neut_bal` the parameters are defined as: * :math:`\left\langle\overline{J}^{u,g}_{l\pm 1/2,m,n}\Delta_m^v\Delta_n^w\right\rangle` --- surface area-integrated net current over surface :math:`(l\pm 1/2,m,n)` with surface normal in direction - $u$ in energy group :math:`g`. By dividing this quantity by the transverse + :math:`u` in energy group :math:`g`. By dividing this quantity by the transverse area, :math:`\Delta_m^v\Delta_n^w`, the surface area-averaged net current can be computed. * :math:`\left\langle\overline{\overline\Sigma}_{t_{l,m,n}}^g @@ -189,7 +189,7 @@ where \overline{\overline\phi}_{l,m,n}^g\Delta_l^u\Delta_m^v\Delta_n^w\right\rangle. Note that the transport reaction rate is calculated from the total reaction rate -reduced by the $P_1$ scattering production reaction rate. Equation :eq:`eq_transD` +reduced by the :math:`P_1` scattering production reaction rate. Equation :eq:`eq_transD` does not represent the best definition of diffusion coefficients from MC; however, it is very simple and usually fits into MC tally frameworks easily. Different methods to calculate more accurate diffusion coefficients can @@ -527,7 +527,7 @@ weight in the source bank was modified according to its location and energy. Toy Problem Example ------------------- -Before applying CMFD to a large reactor, a simple $1$-D slab toy problem was +Before applying CMFD to a large reactor, a simple 1-D slab toy problem was analyzed to understand how CMFD works. Table :ref:`tab_1Dtoyinput` presents data used to construct this problem. For MFD, the mesh was 2 cm over the geometry with one energy group. A comparison of fission source convergence @@ -566,7 +566,7 @@ Convergence of the fission source is almost immediately reached. .. figure:: ../_images/entropy_1Dslab.png :scale: 10 - Source convergence comparison for $1$-D slab toy problem + Source convergence comparison for 1-D slab toy problem To further show this convergence, source distributions were edited at various batches and compared. Figures :ref:`fig_toy6` to :ref:`fig_toy200` compare the