Updated KENO math, added Polaris.

CAAScapability.rst

@@ -294,14 +294,14 @@ calculate a dose map for the entire building.
 
 .. _fig4a1:
 
-.. figure:: figs/fig4a1.png
+.. figure:: figs/MAVRIC/fig4a1.png
   :align: center
   :width: 60 %
 
   Cutaway view of Jezebel.
 
 .. _fig4a2:
-.. figure:: figs/fig4a2.png
+.. figure:: figs/MAVRIC/fig4a2.png
   :align: center
   :width: 60 %
 
@@ -390,14 +390,14 @@ and details about the calculated fission distribution are shown in
   +-----------------+----------------------------+-----------------+-------------+
 
 .. _fig4a3:
-.. figure:: figs/fig4a3.png
+.. figure:: figs/MAVRIC/fig4a3.png
   :align: center
   :width: 60 %
 
   Fission source spatial distribution for the center horizontal slice.
 
 .. _fig4a4:
-.. figure:: figs/fig4a4.png
+.. figure:: figs/MAVRIC/fig4a4.png
   :align: center
   :width: 60 %
 
@@ -427,7 +427,7 @@ room, 100 cm above the floor. Assume the detector in the control room is
 a 30 cm diameter sphere located at position (1145, 55, 285).
 
 .. _fig4a5:
-.. figure:: figs/fig4a5.png
+.. figure:: figs/MAVRIC/fig4a5.png
   :align: center
 
   Coordinates of the floor, walls, ceiling, and door of the simple block building model (in cm).
@@ -768,8 +768,6 @@ The grid geometry for this calculation does not need extra planes around the det
 
 A second grid geometry also needs to be added to the definitions block for the mesh tally to use.
 
-.. _a test 
-
 .. code:: scale
 
     gridGeometry 2
@@ -844,13 +842,13 @@ and forward weighting to help calculate each component of dose with more
 uniform relative uncertainties.
 
 .. _fig4a6:
-.. figure:: figs/4a6.png
+.. figure:: figs/MAVRIC/4a6.png
   :align: center
 
   Dose (rem) results for the z=100 cm plane (containing the source).
 
 .. _fig4a7:
-.. figure:: figs/fig4a7.png
+.. figure:: figs/MAVRIC/fig4a7.png
   :align: center
 
   Relative uncertainties in the dose, most less than 1%, for the z=100 cm plane.

DEVC.rst

@@ -681,7 +681,7 @@ calculations are shown in :numref:`fig2-4a-10`.
 
 
 .. list-table:: Sample problem results
-  :name: tab2-4a-10:
+  :name: tab2-4a-10
   :align: center
 
   * - .. image:: figs/DEVC/tab10.png

KenoA.rst

+.. _8-1A:
+
+Keno Appendix A: KENO V.a Shape Descriptions
+============================================
+
+The geometry **shape**\ s allowed in KENO V.a geometry description are:
+
+   **CUBE, CUBOID, SPHERE, CYLINDER, ZCYLINDER, XCYLINDER, YCYLINDER,
+   HEMISPHERE, HEMISPHE+X, HEMISPHE−X, HEMISPHE+Y,**
+
+   **HEMISPHE−Y, HEMISPHE+Z, HEMISPHE−Z, XHEMICYL+Y, XHEMICYL−Y,
+   XHEMICYL+Z, XHEMICYL−Z, YHEMICYL+X, YHEMICYL−X, YHEMICYL+Z,
+   YHEMICYL−Z, ZHEMICYL+X, ZHEMICYL−X, ZHEMICYL+Y, ZHEMICYL−Y**
+
+**CUBE**
+  specifies a cube. It sets +X = +Y = +Z and −X = −Y = −Z. Note
+  that the +X dimension need not equal the −X dimension of the cube (i.e.,
+  the origin need not be at the center of the cube).
+
+**CUBOID**
+  is a rectangular parallelepiped and may be described anywhere
+  relative to the origin.
+
+**SPHERE**
+  specifies a sphere that is centered about the origin, unless
+  otherwise specified by the optional region origin data.
+
+**CYLINDER**
+  specifies a cylinder that has its length described along
+  the Z axis. Its centerline must lie on the Z axis, unless otherwise
+  specified by the optional region origin data.
+
+**ZCYLINDER**
+  specifies a cylinder that has its length described along
+  the Z axis. Its centerline must lie on the Z axis, unless otherwise
+  specified by the optional region origin data.
+
+**XCYLINDER**
+  specifies a cylinder that has its length described along
+  the X axis. Its centerline must lie on the X axis, unless otherwise
+  specified by the optional region origin data.
+
+**YCYLINDER**
+  specifies a cylinder that has its length described along
+  the Y axis. Its centerline must lie on the Y axis, unless otherwise
+  specified by the optional region origin data.
+
+**HEMISPHERE**
+  is used to specify a spherical segment of one base whose
+  spherical surface exists in the positive Z direction. The base or flat
+  portion of the spherical segment is centered about a point that may be
+  specified in the optional region origin data. By default, the center of
+  the spherical surface is the origin and the distance to the base from
+  the center of the spherical surface is zero.
+
+**HEMISPHE**\ *bc*
+  is used to specify a spherical segment of one base
+  whose spherical surface exists in the *bc* direction (b = + or −, c = x,
+  y, or z). The base or flat portion of the spherical segment is located a
+  distance ρ from the center of the spherical surface, and the center may
+  be specified in the optional region origin data. **HEMISPHE+Z** is the
+  same as the previously described **HEMISPHERE** and **HEMISPHE−Z** is
+  the mirror image of **HEMISPHE+Z**, therefore existing only in the
+  negative Z direction. By default the center of the spherical surface is
+  the origin and the distance of the base from the center of the spherical
+  surface is zero.
+
+*b*\ **HEMICYL**\ *cd*
+  is used to specify a cylindrical segment whose
+  axis is in the *b* direction (b = x, y, or z) and whose cylindrical
+  surface exists only in the *c* direction from a plane perpendicular to
+  the *d* axis (c = + or −, d = x, y, or z). The position of the plane
+  (cut surface) can be specified in the optional region chord data. This
+  plane cuts the cylinder parallel to the axis at some distance, ρ, from
+  the axis. By default, the axis passes through the origin and ρ is zero.
+  (Examples: **ZHEMICYL+X, YHEMICYL−Z, XHEMICYL+Y**)
+
+Up to 6 dimensions follow the shape keyword [*xx(1)* through *xx(6)*].
+These entries are separated by one or more blanks and define the size of
+the region. Dimensions must be given in cm.
+
+*xx(1)*: Radius for a sphere, cylinder, hemisphere or hemicylinder,
+
+         +X dimension for a cube or cuboid.
+
+*xx(2)*: −X dimension for cube or cuboid,
+
+         +Z for cylinder or Z cylinder,
+
+         +X for X cylinder,
+
+         +Y for Y cylinder,
+
+         +length for hemicylinder,
+
+         omit *xx(2)* for a sphere or hemisphere.
+
+*xx(3)*: +Y dimension for cuboid,
+
+         −Z for cylinder or Z cylinder,
+
+         −X for X cylinder,
+
+         −Y for Y cylinder,
+
+         −length for hemicylinder,
+
+         omit *xx(3)* for a sphere, hemisphere, or cube.
+
+*xx(4)*: −Y dimension for cuboid,
+
+         omit for all other geometry types.
+
+*xx(5)*: +Z dimension for cuboid,
+
+         omit for all other geometry types.
+
+*xx(6)*: −Z dimension for cuboid,
+
+         omit for all other geometry types.

KenoB.rst

+.. _8-1B:
+
+Keno Appendix B: KENO VI Shape Descriptions
+===========================================
+
+The geometry **shape**\ s allowed in KENO-VI geometry description are:
+
+   **CONE**, **CUBOID**, **CYLINDER**, **DODECAHEDRON**, **ECYLINDER**,
+   **ELLIPSOID**, **HEXPRISM**, **HOPPER**, **PARALLELEPIPED**,
+   **PPIPED**, **PENTAGON**, **PLANE**, **QUADRATIC**, **RHEXPRISM**,
+   **RHOMBOID**, **SPHERE**, **WEDGE**, **XCYLINDER**, **XPPLANE**,
+   **YCYLINDER**, **YPPLANE**, **ZCYLINDER**, **ZPPLANE**
+
+**CONE**
+  specifies a body consisting of one nappe of a right circular
+  cone. It is defined by specifying the top radius of the cone,
+  R\ :sub:`t`, the Z coordinate of the top face, Z\ :sub:`t`, the bottom
+  radius of the cone, R\ :sub:`b`, and the Z coordinate of the bottom
+  face, Z\ :sub:`b`. :numref:`fig8-1b-1` shows the correct input sequence for a
+  cone.
+
+.. _fig8-1b-1:
+.. figure:: figs/KenoB/fig1.png
+  :align: center
+  :width: 500
+
+  Example of cone construction.
+
+**CUBOID**
+  specifies a rectangular parallelepiped. It is defined by
+  specifying the +X dimension, −X dimension, +Y dimension, −Y dimension,
+  +Z dimension, −Z dimension. It is perpendicular to the X, Y, and Z axes
+  unless otherwise specified by the option geometry modification data.
+  :numref:`fig8-1b-2` shows the correct input sequence for a cuboid.
+
+.. _fig8-1b-2:
+.. figure:: figs/KenoB/fig2.png
+  :align: center
+  :width: 500
+
+  Example of cuboid construction.
+
+**CYLINDER**
+  specifies a right circular cylinder. It is defined by
+  specifying the radius of the cylinder, R, the Z coordinate of the top
+  face, Z\ :sub:`t`, and the Z coordinate of the bottom face, Z\ :sub:`b`.
+  Its centerline must lie on the Z axis, unless otherwise specified by the
+  optional geometry modification data. :numref:`fig8-1b-3` shows the correct
+  input sequence for a cylinder.
+
+.. _fig8-1b-3:
+.. figure:: figs/KenoB/fig3.png
+  :align: center
+  :width: 600
+
+  Example of cylinder construction.
+
+
+**DODECAHEDRON**
+  specifies a body whose surface consists of 12 rhombuses
+  of the same size and shape. It is defined by specifying the radius of
+  the inscribed sphere, R. It is centered on the origin in a fixed
+  orientation unless otherwise specified by the optional geometry
+  modification data. :numref:`fig8-1b-4` shows the correct input sequence for a
+  dodecahedron.
+
+.. _fig8-1b-4:
+.. figure:: figs/KenoB/fig4.png
+  :align: center
+  :width: 600
+
+
+  Example of dodecahedron construction.
+
+**ECYLINDER**
+  specifies a right cylinder with an elliptical cross
+  section. It is defined by specifying the semiradius along the X-axis,
+  R\ :sub:`x`, the semiradius along the Y-axis, R\ :sub:`y`, the
+  Z coordinate of the top face, Z\ :sub:`t`, and the Z coordinate of the
+  bottom face, Z\ :sub:`b`. Its centerline must lie on the Z axis, unless
+  otherwise specified by the optional geometry modification data.
+  :numref:`fig8-1b-5` shows the correct input sequence for an elliptical
+  cylinder.
+
+.. _fig8-1b-5:
+.. figure:: figs/KenoB/fig5.png
+  :align: center
+  :width: 600
+
+  Example of elliptical cylinder construction.
+
+**ELLIPSOID**
+  specifies a body whose cross-section slices parallel to
+  each of the coordinate axes are ellipses. It is defined by specifying
+  the semiradius along the X-axis, R\ :sub:`x`, the semiradius along the
+  Y-axis, R\ :sub:`y`, and the semiradius along the Z-axis, R\ :sub:`z`.
+  It is centered about the origin, unless otherwise specified by the
+  optional geometry modification data.
+  :numref:`fig8-1b-6` shows the correct input sequence for an ellipsoid.
+
+.. _fig8-1b-6:
+.. figure:: figs/KenoB/fig6.png
+  :align: center
+  :width: 600
+
+  Example of ellipsoid construction.
+
+**HEXPRISM**
+  specifies a body whose top and bottom faces are hexagons
+  that have the same orientation and are perpendicular to the Z axis. It
+  is defined by specifying the inscribed radius, R, the Z coordinate of
+  the top face, Z\ :sub:`t`, and the Z coordinate of the bottom face,
+  Z\ :sub:`b`. :numref:`fig8-1b-7` is an example input for a hexprism.
+
+.. _fig8-1b-7:
+.. figure:: figs/KenoB/fig7.png
+  :align: center
+  :width: 600
+
+  Example of hexprism construction.
+
+**HOPPER**
+  specifies a body whose top and bottom faces are rectangular
+  parallelepipeds centered about the Z-axis and parallel to the X and
+  Y axes. It is defined by specifying the half-length of the top face
+  along the X-axis, X\ :sub:`t`, the half-length of the top face along the
+  Y-axis, Y\ :sub:`t`, the Z coordinate of the top face, Z\ :sub:`t`, the
+  half-length of the bottom face along the X-axis, X\ :sub:`b`, the
+  half-length of the bottom face along the Y-axis, Y\ :sub:`b`, and the
+  Z coordinate of the bottom face, Z\ :sub:`b`. Its centerline must lie on
+  the Z axis unless otherwise specified by the optional geometry
+  modification data. :numref:`fig8-1b-8` shows the correct input sequence for a
+  hopper.
+
+.. _fig8-1b-8:
+.. figure:: figs/KenoB/fig8.png
+  :align: center
+  :width: 600
+
+  Example of hopper construction.
+
+**PARALLELEPIPED** or **PPIPED**
+  is a body with six faces composed
+  of parallelograms, whose opposing
+  faces are parallel. It is defined
+  by specifying the length of the
+  faces in the X direction, XDIST,
+  the length of the faces in the
+  Y direction, YDIST, the length of
+  the faces in the Z direction,
+  ZDIST, the angle between the
+  X-face and the Y-axis, PSI, the
+  angle between the Y-face and the
+  Z-axis, THETA, and the angle
+  between the projection of the top
+  corner nearest the Z-axis onto
+  the X-Y plane and the X-axis,
+  PHI. The bottom face must lie on
+  the X-Y plane at Z = 0 with a
+  corner at the origin unless
+  otherwise specified by the
+  optional geometry modification
+  data. :numref:`fig8-1b-9` shows the
+  correct input sequence for a
+  parallelepiped. The angles psi,
+  theta, and phi must be in the
+  range 0 to 90°.
+
+.. _fig8-1b-9:
+.. figure:: figs/KenoB/fig9.png
+  :align: center
+  :width: 600
+
+  Example of parallelepiped construction.
+
+**PENTAGON**
+  specifies a body whose top and bottom faces are pentagons
+  that have the same orientation and are perpendicular to the Z axis. It
+  is defined by specifying the inscribed radius, R, the Z coordinate of
+  the top face, Z\ :sub:`t`, and the Z coordinate of the bottom face,
+  Z\ :sub:`b`. :numref:`fig8-1b-10` is an example input for a pentagon.
+
+
+.. _fig8-1b-10:
+.. figure:: figs/KenoB/fig10.png
+  :align: center
+  :width: 600
+
+  Example of pentagon construction.
+
+**PLANE**
+  is a surface where any two points can be connected by a
+  straight line entirely contained within a plane that divides all space
+  into two regions. The positive side of the plane is the side the normal
+  points to or where the equation aX + bY + cZ + d > 0. It is defined by
+  specifying the coefficients of the equation aX + bY + cZ + d = 0 using
+  the keywords XPL=a, YPL=b, ZPL=c, and CON=d. Only the nonzero
+  coefficients of the equation need to be specified. :numref:`fig8-1b-11` shows
+  the correct input sequence for a plane.
+
+.. _fig8-1b-11:
+.. figure:: figs/KenoB/fig11.png
+  :align: center
+  :width: 600
+
+  Example of plane construction.
+
+**QUADRATIC**
+  specifies a surface using a quadratic equation of the
+  form:
+
+     aX\ :sup:`2` + bY\ :sup:`2` + cZ\ :sup:`2` + dXY + eXZ + fYZ + gX +
+     hY + iZ + j = 0.
+
+     It is defined by specifying the coefficients of the above equation
+     using the keywords AQU=a, BQU=b, CQU=c, DQU=d, EQU=e, FQU=f, GQU=g,
+     HQU=h, IQU=i, and JQU=j. Only the nonzero coefficients of the
+     equation need to be specified.
+
+**RHEXPRISM**
+  specifies a body whose top and bottom faces are rotated
+  hexagons that have the same orientation and are perpendicular to the
+  Z axis. It is defined by specifying the inscribed radius, R, the
+  Z coordinate of the top face, Z\ :sub:`t`, and the Z coordinate of the
+  bottom face, Z\ :sub:`b`. :numref:`fig8-1b-12` is an example input for a
+  rotated hexprism.
+
+.. _fig8-1b-12:
+.. figure:: figs/KenoB/fig12.png
+  :align: center
+  :width: 600
+
+  Example of rotated hexprism construction.
+
+**RING**
+  is a body composed of the space between 2 concentric cylinders.
+  It is defined by specifying the radius Rin of the inner cylinder and
+  Rout of the outer cylinder, and the coordinate Zt of the top and Zb of
+  the bottom of the annulus. Its center line lies on the Z axis unless
+  specified by the optional geometry modification data. :numref:`fig8-1b-13`
+  shows the correct input sequence for a ring.
+
+.. _fig8-1b-13:
+.. figure:: figs/KenoB/fig13.png
+  :align: center
+  :width: 600
+
+  Example of ring construction.
+
+**RHOMBOID**
+  is a body composed of six identical faces, each one a
+  rhombus. It is defined by specifying the length of the edge of the base
+  along the X-axis, DX and the angle between Y edge of the base and the
+  Y-axis, Ψ. Its base is in the XY plane at Z = 0, with a corner at the
+  origin unless otherwise specified by the optional geometry modification
+  data. :numref:`fig8-1b-14` shows the correct input sequence for a rhomboid.
+
+.. _fig8-1b-14:
+.. figure:: figs/KenoB/fig14.png
+  :align: center
+  :width: 500
+
+  Example of rhomboid construction.
+
+**SPHERE**
+  specifies a sphere. It is defined by specifying the radius,
+  R. It is centered about the origin, unless otherwise specified by the
+  optional geometry modification data.
+  :numref:`fig8-1b-15` shows the correct input sequence for a sphere.
+
+.. _fig8-1b-15:
+.. figure:: figs/KenoB/fig15.png
+  :align: center
+  :width: 600
+
+  Example of sphere construction.
+
+**WEDGE**
+  is a right-triangular prism having five faces. The two ends
+  are triangles, and the three sides are rectangles. It is defined by
+  specifying the length of the base along the X-axis, XBASE, the X and
+  Y coordinate where the other two sides meet, Xpt and Ypt, and the length
+  along the Z-axis, ZLNG. One side is in the XZ plane at Y = 0, and the
+  bottom face is in the XY plane at Z = 0, with a corner at the origin
+  unless otherwise specified by the optional geometry modification data.
+  :numref:`fig8-1b-16` shows the correct input sequence for a wedge.
+
+.. _fig8-1b-16:
+.. figure:: figs/KenoB/fig16.png
+  :align: center
+  :width: 600
+
+  Example of wedge construction.
+
+**XCYLINDER**
+  specifies a right circular cylinder oriented about the
+  X-axis. It is defined by specifying the radius of the cylinder, R, the
+  X coordinate of the top face, X :sub:`t`, and the X coordinate of the
+  bottom face, X :sub:`b`. Its centerline must lie on the X axis, unless
+  otherwise specified by the optional geometry modification data.
+  :numref:`fig8-1b-17` shows the correct input sequence for a cylinder.
+
+.. _fig8-1b-17:
+.. figure:: figs/KenoB/fig17.png
+  :align: center
+  :width: 600
+
+  Example of xcylinder construction.
+
+**XPPLANE**
+  is a set of flat parallel surfaces where any two points in
+  one of the surfaces can be connected by a straight line entirely
+  contained within that surface. These surface planes divide space into
+  three sections; one section between the two planes which is considered
+  inside the surfaces, one section on the negative side of the negative
+  plane which is considered outside the surfaces, and one section on the
+  positive side of the positive plane which is considered outside the
+  surfaces. The set of parallel planes are defined by the keyword XPPLANE,
+  which places the planes perpendicular to the X-axis, the X-intercept
+  between the more positive plane and the X-axis (X\ :sub:`+`) and the
+  X‑intercept between the more negative plane and the X-axis (X\ :sub:`−`).
+  :numref:`fig8-1b-18` shows the correct input sequence for the set of paired
+  planes.
+
+.. _fig8-1b-18:
+.. figure:: figs/KenoB/fig18.png
+  :align: center
+  :width: 600
+
+  Example of x-paired plane construction.
+
+**YCYLINDER**
+  specifies a right circular cylinder oriented about the
+  Y-axis. It is defined by specifying the radius of the cylinder, R, the
+  Y coordinate of the top face, Y\ :sub:`t`, and the Y coordinate of the
+  bottom face, Y\ :sub:`b`. Its centerline must lie on the Y axis, unless
+  otherwise specified by the optional geometry modification data.
+  :numref:`fig8-1b-19` shows the correct input sequence for a cylinder.
+
+.. _fig8-1b-19:
+.. figure:: figs/KenoB/fig19.png
+  :align: center
+  :width: 600
+
+  Example of ycylinder construction.
+
+**YPPLANE**
+  is a set of flat parallel surfaces where any two points in
+  one of the surfaces can be connected by a straight line entirely
+  contained within that surface. These surface planes divide space into
+  three sections; one section between the two planes which is considered
+  inside the surfaces, one section on the negative side of the negative
+  plane which is considered outside the surfaces, and one section on the
+  positive side of the positive plane which is considered outside the
+  surfaces. The set of parallel planes are defined by the keyword YPPLANE,
+  which places the planes perpendicular to the Y-axis, the Y‑intercept
+  between the more positive plane and the Y-axis (Y\ :sub:`+`) and the
+  Y-intercept between the more negative plane and the Y-axis (Y\ :sub:`−`).
+  :numref:`fig8-1b-20` shows the correct input sequence for the set of paired
+  planes.
+
+.. _fig8-1b-20:
+.. figure:: figs/KenoB/fig20.png
+  :align: center
+  :width: 600
+
+  Example of y-paired plane construction.
+
+**ZCYLINDER**
+  specifies a right circular cylinder oriented about the
+  Z-axis. It is defined by specifying the radius of the cylinder, R, the
+  Z coordinate of the top face, Z :sub:`t`, and the Z coordinate of the
+  bottom face, Z :sub:`b`. Its centerline must lie on the Z-axis, unless
+  otherwise specified by the optional geometry modification data. The
+  keyword ZCYLINDER is the same as CYLINDER. It is included to be
+  consistent with the XCYLINDER and YCYLINDER keywords. :numref:`fig8-1b-21`
+  shows the correct input sequence for a zcylinder.
+
+.. _fig8-1b-21:
+.. figure:: figs/KenoB/fig21.png
+  :align: center
+  :width: 600
+
+  Example of zcylinder construction.
+
+**ZPPLANE**
+  is a set of flat parallel surfaces where any two points in
+  one of the surfaces can be connected by a straight line entirely
+  contained within that surface. These surface planes divide space into
+  three sections; one section between the two planes which is considered
+  inside the surfaces, one section on the negative side of the negative
+  plane which is considered outside the surfaces, and one section on the
+  positive side of the positive plane which is considered outside the
+  surfaces. The set of parallel planes are defined by the keyword ZPPLANE,
+  which places the planes perpendicular to the Z-axis, the Z-intercept
+  between the more positive plane and the Z-axis (Z\ :sub:`+`) and the
+  Z-intercept between the more negative plane and the Z-axis (Z\ :sub:`−`).
+  :numref:`fig8-1b-22` shows the correct input sequence for the set of paired
+  planes.
+
+.. _fig8-1b-22:
+.. figure:: figs/KenoB/fig22.png
+  :align: center
+  :width: 600
+
+  Example of z-paired plane construction.

KenoC.rst

+.. _8-1C:
+
+Keno Appendix C: Sample problems
+================================
+
+This section contains sample problems to demonstrate some of the options
+available in KENO in stand-alone mode. Because stand-alone KENO has no
+means to read standard composition information and process for use, the
+problem-dependent cross section library must be prepared before
+executing KENO in the multigroup mode. The **MIXTURE** data block (See
+:ref:`9-1-2-1`) is used to provide the mixing table. In the continuous
+energy mode, the cross sections are directly used and therefore no
+problem-dependent library is needed. The mixing table is required in the