# [cig-commits] r8105 - doc/CitcomS/manual

tan2 at geodynamics.org tan2 at geodynamics.org
Thu Oct 11 12:39:31 PDT 2007

Author: tan2
Date: 2007-10-11 12:39:30 -0700 (Thu, 11 Oct 2007)
New Revision: 8105

Modified:
doc/CitcomS/manual/citcoms.lyx
Log:
Correction on cookbook8 and the description of tic_method=3.

Modified: doc/CitcomS/manual/citcoms.lyx
===================================================================
--- doc/CitcomS/manual/citcoms.lyx	2007-10-11 01:23:50 UTC (rev 8104)
+++ doc/CitcomS/manual/citcoms.lyx	2007-10-11 19:39:30 UTC (rev 8105)
@@ -9871,10 +9871,8 @@

\begin_layout Standard
This example is a benchmark problem for compressible thermal convection.
- The initial temperature has a single spherical harmonic perturbation.
- The numerical solution of the velocity and stress fields can be compared
- with semi-analytical solutions.
- The Stokes solver is benchmarked and validated.
+ The Stokes solver in CitcomS has been benchmarked and validated against
+ semi-analytical solution.
However, no analytical solution exists for the benchmark on the energy
equation solver, which is nonlinear.
The steady-state solution is usually used for the comparison with other
@@ -9972,6 +9970,33 @@
\end_layout

\begin_layout Standard
+The initial temperature is a conductive profile with a single spherical
+ harmonic perturbation.
+ The pertubation is located at the mid-depth and is defined as:
+\begin_inset Formula $+mag\times\sin\left(\frac{(r-r_{in})\pi}{r_{out}-r_{in}}\right)\left(\sin(m\phi)+\cos(m\phi)\right)P_{lm}(\cos\theta)$
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout LyX-Code
+tic_method = 3
+\newline
+num_perturbations = 1
+\newline
+perturbl = 3
+\newline
+perturbm = 2
+\newline
+perturblayer
+ = 17
+\newline
+perturbmag = 0.01
+\end_layout
+
+\begin_layout Standard
You will need the output of dynamic topography and geoid.
The maximum spherical harmonics degree for the geoid is 20.
\end_layout
@@ -10420,7 +10445,6 @@
\end_inset

) is -0.38%.
- (TODO: The semi-analytical solution of surface topography at 0th step is.)
\end_layout

\begin_layout Standard
@@ -10466,7 +10490,7 @@
\end_layout

\begin_layout Section
-Cookbook 9: Solver Coupling for Ridge-Plume Interaction
+Cookbook 9: Nested Solver Coupling for Ridge-Plume Interaction
\end_layout

\begin_layout Subsection
@@ -10478,7 +10502,7 @@
\end_layout

\begin_layout Subsubsection
-Example: Solver Coupling for Ridge-Plume Interaction, cookbook9.cfg
+Example: Nested Solver Coupling for Ridge-Plume Interaction, cookbook9.cfg
\end_layout

\begin_layout Subsection
@@ -11954,17 +11978,7 @@
\family default
\size default
3.
- The initial temperature is a linear temperature gradient with some perturbation
-s.
-
-\family typewriter
-num_perturbations
-\family default
- is fixed to 1 and
-\family typewriter
-perturblayer
-\family default
- is ignored in this case.
+ The initial temperature is a conductive profile with some perturbations.
The perturbation is given by:
\begin_inset Formula $mag\times\sin\left(\frac{(r-r_{in})\pi}{r_{out}-r_{in}}\right)\left(\sin(m\phi)+\cos(m\phi)\right)P_{lm}(\cos\theta)$