[cig-commits] r11609 - long/3D/Gale/trunk/documentation

[sue at geodynamics.org]

Author: sue
Date: 2008-03-27 12:40:20 -0700 (Thu, 27 Mar 2008)
New Revision: 11609

Modified:
   long/3D/Gale/trunk/documentation/gale.lyx
   long/3D/Gale/trunk/documentation/gale.pdf
Log:
various small fixes

Modified: long/3D/Gale/trunk/documentation/gale.lyx
===================================================================
--- long/3D/Gale/trunk/documentation/gale.lyx	2008-03-27 19:01:40 UTC (rev 11608)
+++ long/3D/Gale/trunk/documentation/gale.lyx	2008-03-27 19:40:20 UTC (rev 11609)
@@ -1,4 +1,4 @@
-#LyX 1.5.3 created this file. For more info see http://www.lyx.org/
+#LyX 1.5.1 created this file. For more info see http://www.lyx.org/
 \lyxformat 276
 \begin_document
 \begin_header
@@ -15076,13 +15076,25 @@
 \begin_inset Formula $y=x/2$
 \end_inset
 
-for resolutions of 128x128 (blue), 256x256 (green), and 512x512 (red).
+ for resolutions of 128
+\begin_inset Formula $\times$
+\end_inset
+
+128 (blue), 256
+\begin_inset Formula $\times$
+\end_inset
+
+256 (green), and 512
+\begin_inset Formula $\times$
+\end_inset
+
+512 (red).
  The inclusion has a radius 
 \begin_inset Formula $r_{i}=0.1.$
 \end_inset
 
- Note the that the pressure should be zero inside the inclusion, but the
- numerical solutions consistently underestimate the pressure.
+ Note that the pressure should be zero inside the inclusion, but the numerical
+ solutions consistently underestimate the pressure.
 \end_layout
 
 \end_inset
@@ -15096,7 +15108,7 @@
 \end_layout
 
 \begin_layout Standard
-Outside the inclusion, the error is much better.
+Outside the inclusion, the error is better behaved.
  Figure 
 \begin_inset LatexCommand ref
 reference "fig:Pressure-Error"
@@ -15161,7 +15173,19 @@
 \begin_inset Formula $y=x/2$
 \end_inset
 
-for resolutions of 128x128 (blue), 256x256 (green), and 512x512 (red).
+ for resolutions of 128
+\begin_inset Formula $\times$
+\end_inset
+
+128 (blue), 256
+\begin_inset Formula $\times$
+\end_inset
+
+256 (green), and 512
+\begin_inset Formula $\times$
+\end_inset
+
+512 (red).
  The inclusion has a radius 
 \begin_inset Formula $r_{i}=0.1.$
 \end_inset
@@ -15209,7 +15233,19 @@
 \begin_inset Formula $y=x/2$
 \end_inset
 
-for resolutions of 128x128 (blue), 256x256 (green), and 512x512 (red).
+ for resolutions of 128
+\begin_inset Formula $\times$
+\end_inset
+
+128 (blue), 256
+\begin_inset Formula $\times$
+\end_inset
+
+256 (green), and 512
+\begin_inset Formula $\times$
+\end_inset
+
+512 (red).
  So the medium resolution error is multiplied by 2 and the high resolution
  error is multiplied by 4.
  The inclusion has a radius 
@@ -15250,6 +15286,8 @@
 \end_layout
 
 \begin_layout Standard
+\noindent
+\align center
 \begin_inset Float figure
 wide false
 sideways false
@@ -15284,6 +15322,10 @@
 
 \end_inset
 
+
+\end_layout
+
+\begin_layout Standard
 The file
 \end_layout
 
@@ -15520,8 +15562,31 @@
 \end_inset
 
 .
- These were done with resolutions of 16x32x16, 32x64x32, and 64x128x64,
- corresponding to grid sizes (
+ These were done with resolutions of 16
+\begin_inset Formula $\times$
+\end_inset
+
+32
+\begin_inset Formula $\times$
+\end_inset
+
+16, 32
+\begin_inset Formula $\times$
+\end_inset
+
+64
+\begin_inset Formula $\times$
+\end_inset
+
+32, and 64
+\begin_inset Formula $\times$
+\end_inset
+
+128
+\begin_inset Formula $\times$
+\end_inset
+
+64, corresponding to grid sizes (
 \begin_inset Formula $h$
 \end_inset
 
@@ -15540,6 +15605,8 @@
 \end_layout
 
 \begin_layout Standard
+\noindent
+\align center
 \begin_inset Float figure
 wide false
 sideways false
@@ -15564,7 +15631,8 @@
 
 \end_inset
 
-Error in computed velocity vs resolution
+Error in computed velocity vs.
+ resolution
 \end_layout
 
 \end_inset
@@ -15586,11 +15654,13 @@
 \end_inset
 
 .
- The error scale linearly with resolution, giving us confidence that we
+ The error scales linearly with resolution, giving us confidence that we
  can accurately solve this problem.
 \end_layout
 
 \begin_layout Standard
+\noindent
+\align center
 \begin_inset Float figure
 wide false
 sideways false
@@ -15615,7 +15685,8 @@
 
 \end_inset
 
-Scaled error in computed velocity vs resolution
+Scaled error in computed velocity vs.
+ resolution
 \end_layout
 
 \end_inset
@@ -15710,11 +15781,11 @@
 \end_inset
 
  shows the results of a low resolution run.
- Even this run is not particularly small (128 
+ Even this run is not particularly small (128
 \begin_inset Formula $\times$
 \end_inset
 
- 256), because we need fairly high resolution to be able to accurately resolve
+256), because we need fairly high resolution to be able to accurately resolve
  the small (1%) height difference.
  Also note that we use symmetry to only simulate half of the wavelength.
  
@@ -15747,7 +15818,7 @@
 \begin_inset Float figure
 wide false
 sideways false
-status collapsed
+status open
 
 \begin_layout Standard
 \align center
@@ -15784,7 +15855,7 @@
 \begin_inset Float figure
 wide false
 sideways false
-status collapsed
+status open
 
 \begin_layout Standard
 \align center
@@ -15881,8 +15952,7 @@
 
 \end_inset
 
-.
- One benchmark models extension, and the other models shortening.
+: one was benchmark models extension, and the other models shortening.
  At this time, Gale has partially implemented the extension benchmark.
  The input file is in 
 \family typewriter
@@ -16794,9 +16864,8 @@
 
 \end_inset
 
-Lindgren, E.
- R.
- 1999, The Motion of a Sphere in an Incompressible Viscous Fluid at Reynolds
+Lindgren, E.R.
+ (1999), The Motion of a Sphere in an Incompressible Viscous Fluid at Reynolds
  Numbers Considerably Less Than One, in 
 \shape italic
 Physica Scriptae
@@ -16815,10 +16884,10 @@
 
 \end_inset
 
- Deubelbeiss, Yolanda, and Boris J.
- P.
- Kaus, A comparison of finite difference formultions for the Stokes equations
- in presence of strongly varying viscosity, Poster presented at 2007 AGU.
+ Deubelbeiss, Yolanda, and Boris J.P.
+ Kaus (2007), A comparison of finite difference formultions for the Stokes
+ equations in presence of strongly varying viscosity, poster presented at
+ 2007 AGU.
 \end_layout
 
 \end_body

Modified: long/3D/Gale/trunk/documentation/gale.pdf
===================================================================
(Binary files differ)