[cig-commits] r8216 - doc/CitcomS/manual
tan2 at geodynamics.org
tan2 at geodynamics.org
Tue Nov 6 16:30:27 PST 2007
Author: tan2
Date: 2007-11-06 16:30:26 -0800 (Tue, 06 Nov 2007)
New Revision: 8216
Modified:
doc/CitcomS/manual/citcoms.lyx
Log:
Updated for new cookbook7.cfg. Added convergence parameters for cgrad solver.
Modified: doc/CitcomS/manual/citcoms.lyx
===================================================================
--- doc/CitcomS/manual/citcoms.lyx 2007-11-06 23:18:54 UTC (rev 8215)
+++ doc/CitcomS/manual/citcoms.lyx 2007-11-07 00:30:26 UTC (rev 8216)
@@ -9563,8 +9563,8 @@
tracer_ic_method=0
\family default
.
- The tracers will be generated pseudo-randomly automatically, with a total
- number equal to
+ The tracers will be generated pseudo-randomly, with a total number equal
+ to
\end_layout
\begin_layout LyX-Code
@@ -9681,14 +9681,14 @@
\end_inset
.
- The density anomaly of the anomalous chemical composition is 0.4.
+ The density anomaly of the anomalous chemical composition is 0.5.
\end_layout
\begin_layout LyX-Code
buoy_type = 1
\newline
-buoyancy_ratio = 0.4
+buoyancy_ratio = 0.5
\end_layout
\begin_layout Standard
@@ -9749,6 +9749,83 @@
The regional spherical version does not have this constraint.
\end_layout
+\begin_layout Standard
+You will use the conjugate gradient solver to solve the matrix equation
+
+\begin_inset Formula $\mathbf{A}x=b$
+\end_inset
+
+ for x.
+ The conjugate gradient solver is more efficient than the multigrid solver
+ (
+\family typewriter
+Solver=multigrid
+\family default
+) for small problems (e.g.
+ less than 17
+\begin_inset Formula $\times$
+\end_inset
+
+17
+\begin_inset Formula $\times$
+\end_inset
+
+17 nodes per processor).
+ The desired accuracy and maximum iterations are set by
+\family typewriter
+accuracy
+\family default
+ and
+\family typewriter
+vlowstep
+\family default
+.
+ For the Uzawa algorithm, the desired accuracy for the continuity equation
+ (Equation
+\begin_inset LatexCommand ref
+reference "eq:discrete continuite eqn"
+
+\end_inset
+
+) and maximum iterations are set by
+\family typewriter
+tole_compressibility
+\family default
+ and
+\family typewriter
+piterations
+\family default
+.
+
+\family typewriter
+vlowstep
+\family default
+and
+\family typewriter
+piterations
+\family default
+ should be large integers, but you can experiment with a larger value for
+
+\family typewriter
+accuracy
+\family default
+ to speed up the computation.
+
+\end_layout
+
+\begin_layout LyX-Code
+Solver = cgrad
+\newline
+accuracy = 1e-06
+\newline
+vlowstep = 1000
+\newline
+tole_compressibility = 1e-07
+\newline
+piterat
+ions = 1000
+\end_layout
+
\begin_layout Subsubsection
Example: Thermo-Chemical Convection,
\family typewriter
@@ -9760,7 +9837,7 @@
\newline
solver = full
\newline
-steps = 30 ; number of time steps
+steps = 15 ; number of time steps
\newline
\newline
@@ -9769,7 +9846,7 @@
[CitcomS.c
ontroller]
\newline
-monitoringFrequency = 10 ; how often outputs are created
+monitoringFrequency = 5 ; how often outputs are created
\newline
\newline
@@ -9842,7 +9919,7 @@
buoy_type
= 1
\newline
-buoyancy_ratio = 0.4
+buoyancy_ratio = 0.5
\newline
\newline
@@ -9854,17 +9931,34 @@
\newline
\newline
-#
- Assign the viscosities.
+[Citcom
+S.solver.vsolver]
\newline
+Solver = cgrad
+\newline
+accuracy = 1e-06
+\newline
+vlowstep = 1000
+\newline
+tole_compressibility
+ = 1e-07
+\newline
+piterations = 1000
+\newline
+
+\newline
+
+\newline
+# Assign the viscosities.
+\newline
[CitcomS.solver.visc]
\newline
-VISC_UPDATE = on
+VISC_UPDATE
+ = on
\newline
num_mat = 4
\newline
-visc0
- = 1,1,1,1
+visc0 = 1,1,1,1
\newline
TDEPV = on
\newline
@@ -9872,10 +9966,10 @@
\newline
viscT = 0,0,0,0
\newline
-VMIN = on
+VMIN
+ = on
\newline
-visc_min
- = 1.0
+visc_min = 1.0
\newline
VMAX = on
\end_layout
@@ -9893,8 +9987,8 @@
\noindent
\align center
\begin_inset Graphics
- filename graphics/cookbook7.jpg
- lyxscale 30
+ filename graphics/cookbook7.png
+ lyxscale 50
scale 90
\end_inset
@@ -9911,7 +10005,7 @@
\end_inset
-Cookbook 7: The composition and velocity field at the 20th step.
+Cookbook 7: The composition and velocity field at the 15th step.
The arrows are the velocity vectors.
The composition field is shown in an isosurface of 0.7 and in a cross section.
\end_layout
@@ -9940,7 +10034,7 @@
.
The buoyancy ratio in this model is too low to stabilize the chemical layer.
A few thermo-chemical plumes are rising from the lower mantle, especially
- the ones at the 4, 11, and 12 o'clock directions.
+ the ones at the 4, 6, 9, 10, and 12 o'clock directions.
The resolution of this model is fairly low.
The composition isosurface is slightly discontinuous across the cap boundary.
A model of higher resolution will not have this kind of artifact.
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