Merge pull request #3655 from farscape-project/centroid_comments

Improve the description of centroid nodes

Author: roystgnr

include/geom/cell_prism20.h

@@ -62,8 +62,8 @@ namespace libMesh
  * \endverbatim
  *
  * And it also includes two face nodes:
- * Node 18, on side 0, equidistant from 0/1/2 or 6/7/8
- * Node 19, on side 4, equidistant from 3/4/5 or 12/13/14
+ * Node 18, centroid on side 0, arithmetic mean of 0/1/2 or 6/7/8
+ * Node 19, centroid on side 4, arithmetic mean of 3/4/5 or 12/13/14
  *
  * (xi, eta, zeta): { 0  <= xi   <= 1
  *                  { 0  <= eta  <= 1

include/geom/cell_prism21.h

@@ -62,11 +62,11 @@ namespace libMesh
  * \endverbatim
  *
  * And it also includes two face nodes:
- * Node 18, on side 0, equidistant from 0/1/2 or 6/7/8
- * Node 19, on side 4, equidistant from 3/4/5 or 12/13/14
+ * Node 18, centroid on side 0, arithmetic mean of 0/1/2 or 6/7/8
+ * Node 19, centroid on side 4, arithmetic mean of 3/4/5 or 12/13/14
  *
  * And one midpoint node:
- * Node 20, on the interior, equidistant from 9/10/11 or 15/16/17
+ * Node 20, on the interior, arithmetic mean of 9/10/11 or 15/16/17
  *
  * (xi, eta, zeta): { 0  <= xi   <= 1
  *                  { 0  <= eta  <= 1

include/geom/cell_pyramid18.h

@@ -64,10 +64,10 @@ namespace libMesh
  * \endverbatim
  *
  * And it also includes four triangle face nodes:
- * Node 14, on side 0, equidistant from 0/1/4 or 5/9/10
- * Node 15, on side 1, equidistant from 1/2/4 or 6/10/11
- * Node 16, on side 2, equidistant from 2/3/4 or 7/11/12
- * Node 17, on side 3, equidistant from 0/3/4 or 8/9/12
+ * Node 14, centroid on side 0, arithmetic mean of 0/1/4 or 5/9/10
+ * Node 15, centroid on side 1, arithmetic mean of 1/2/4 or 6/10/11
+ * Node 16, centroid on side 2, arithmetic mean of 2/3/4 or 7/11/12
+ * Node 17, centroid on side 3, arithmetic mean of 0/3/4 or 8/9/12
  *
  * (xi, eta, zeta): { zeta-1 <= xi   <= 1-zeta
  *                  { zeta-1 <= eta  <= 1-zeta

include/geom/cell_tet14.h

@@ -53,10 +53,10 @@ namespace libMesh
  * \endverbatim
  *
  * And it also includes four face nodes:
- * Node 10, on side 0, equidistant from 0/1/2 or 4/5/6
- * Node 11, on side 1, equidistant from 0/1/3 or 4/7/8
- * Node 12, on side 2, equidistant from 1/2/3 or 5/8/9
- * Node 13, on side 3, equidistant from 0/2/3 or 6/7/9
+ * Node 10, centroid on side 0, arithmetic mean of 0/1/2 or 4/5/6
+ * Node 11, centroid on side 1, arithmetic mean of 0/1/3 or 4/7/8
+ * Node 12, centroid on side 2, arithmetic mean of 1/2/3 or 5/8/9
+ * Node 13, centroid on side 3, arithmetic mean of 0/2/3 or 6/7/9
  *
  * (xi, eta, zeta): { 0 <= xi   <= 1
  *                  { 0 <= eta  <= 1