[cig-commits] r5694 - mc/3D/CitcomS/trunk/doc/manual

[tan2 at geodynamics.org]

Author: tan2
Date: 2007-01-08 14:19:35 -0800 (Mon, 08 Jan 2007)
New Revision: 5694

Modified:
   mc/3D/CitcomS/trunk/doc/manual/citcoms.lyx
Log:
1. Fixed a reference error, "Section 1.6" should be "Equation 1.6"
2. Velocity BC input and geoid output are dimensional. The units were
   undocumented in previous release. This fix the issue75.
3. More information about geoid output: the meaning of each column and how to
   compute the geoid field.      


Modified: mc/3D/CitcomS/trunk/doc/manual/citcoms.lyx
===================================================================
--- mc/3D/CitcomS/trunk/doc/manual/citcoms.lyx	2007-01-08 22:19:14 UTC (rev 5693)
+++ mc/3D/CitcomS/trunk/doc/manual/citcoms.lyx	2007-01-08 22:19:35 UTC (rev 5694)
@@ -1,4 +1,4 @@
-#LyX 1.4.3 created this file. For more info see http://www.lyx.org/
+#LyX 1.4.2 created this file. For more info see http://www.lyx.org/
 \lyxformat 245
 \begin_document
 \begin_header
@@ -7382,7 +7382,7 @@
 \family default
  facility allows you to impose a uniform velocity across the top surface.
  You have a velocity which is purely in the colatitude direction with a
- non-dimensional velocity of 100 (see Section 
+ non-dimensional velocity of 100 (see Equation 
 \begin_inset LatexCommand \vref{eq:6}
 
 \end_inset
@@ -9937,7 +9937,7 @@
 \family typewriter
 topvbyval
 \family default
- specify the tangential surface stress (forced BC).
+ specify the tangential surface stress (stress BC).
  If 
 \family typewriter
 topvbc
@@ -9950,15 +9950,8 @@
 \family typewriter
 topvbyval
 \family default
- specify the tangential surface velocity (fixed BC).
+ specify the tangential surface velocity (velocity BC).
  The surface normal velocity is zero in these two cases (impermeable BC).
- If 
-\family typewriter
-\size small
-topvbc
-\family default
-\size default
- is 2, the surface normal and tangential stress are zero (permeable BC).
 \end_layout
 
 \end_inset
@@ -16348,6 +16341,18 @@
 Vx Vy
 \end_layout
 
+\begin_layout Standard
+The units of 
+\family typewriter
+Vx
+\family default
+ and 
+\family typewriter
+Vy
+\family default
+ are cm/yr.
+\end_layout
+
 \begin_layout Section
 Material Files
 \end_layout
@@ -16848,7 +16853,11 @@
 \begin_inset Text
 
 \begin_layout Standard
-degree
+spherical harmonic degrees (
+\family typewriter
+l
+\family default
+)
 \end_layout
 
 \end_inset
@@ -16868,7 +16877,11 @@
 \begin_inset Text
 
 \begin_layout Standard
-order
+spherical harmonic orders (
+\family typewriter
+m
+\family default
+)
 \end_layout
 
 \end_inset
@@ -16888,7 +16901,15 @@
 \begin_inset Text
 
 \begin_layout Standard
-geoid_sin
+sine coefficients of total geoid (
+\family typewriter
+S
+\family default
+
+\begin_inset Formula $_{\text{lm}}$
+\end_inset
+
+)
 \end_layout
 
 \end_inset
@@ -16908,7 +16929,15 @@
 \begin_inset Text
 
 \begin_layout Standard
-geoid_cos
+cosine coefficients of total geoid (
+\family typewriter
+C
+\family default
+
+\begin_inset Formula $_{\text{lm}}$
+\end_inset
+
+)
 \end_layout
 
 \end_inset
@@ -16928,7 +16957,7 @@
 \begin_inset Text
 
 \begin_layout Standard
-geoid_from_bncy_sin
+sine coefficients of the geoid due to internal density variation
 \end_layout
 
 \end_inset
@@ -16948,7 +16977,7 @@
 \begin_inset Text
 
 \begin_layout Standard
-geoid_from_bncy_cos
+cosine coefficient sof the geoid due to internal density variation
 \end_layout
 
 \end_inset
@@ -16968,7 +16997,7 @@
 \begin_inset Text
 
 \begin_layout Standard
-geoid_from_surf_topo_sin
+sine coefficients of the geoid due to surface topography
 \end_layout
 
 \end_inset
@@ -16988,7 +17017,7 @@
 \begin_inset Text
 
 \begin_layout Standard
-geoid_from_surf_topo_cos
+cosine coefficients of the geoid due to surface topography
 \end_layout
 
 \end_inset
@@ -17001,6 +17030,32 @@
 
 \end_layout
 
+\begin_layout Standard
+The units of the geoid coefficients are meters.
+ The geoid field can be reconstructed by:
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula \[
+{\textstyle {\displaystyle \sum}\left(S_{lm}\sin(m\phi)+C_{lm}\cos(m\phi)\right)P_{lm}(\cos\theta)}\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+where 
+\shape italic
+P
+\begin_inset Formula $_{\text{lm}}$
+\end_inset
+
+
+\shape default
+ is the associated Legendre polynomials.
+\end_layout
+
 \begin_layout Section
 HDF5 Output (
 \family typewriter