[cig-commits] r14587 - mc/2D/ConMan/trunk/doc
tan2 at geodynamics.org
tan2 at geodynamics.org
Fri Apr 3 17:43:04 PDT 2009
Author: tan2
Date: 2009-04-03 17:43:04 -0700 (Fri, 03 Apr 2009)
New Revision: 14587
Modified:
mc/2D/ConMan/trunk/doc/conman.lyx
Log:
Manaully picked up TWB's changes and save them in Lyx 1.5
Modified: mc/2D/ConMan/trunk/doc/conman.lyx
===================================================================
--- mc/2D/ConMan/trunk/doc/conman.lyx 2009-04-04 00:38:42 UTC (rev 14586)
+++ mc/2D/ConMan/trunk/doc/conman.lyx 2009-04-04 00:43:04 UTC (rev 14587)
@@ -1,5 +1,5 @@
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\begin_document
\begin_header
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filename images/conman_cover.pdf
@@ -206,13 +203,9 @@
\begin_layout Author
© California Institute of Technology
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Scott King
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Version 2.0
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Porting it to other systems should be straightforward.
As with anything free it comes with no guarantees, but it has been benchmarked
against other existing codes (see Chapter
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The authors would appreciate any information regarding bugs or potential
problems but make no promises regarding the timeliness of changes or fixes;
see Section
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The ConMan team requests that in your oral presentations and in your papers
that you indicate your use of this code and acknowledge the author of the
code and CIG
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\emph on
The Finite Element Method
\emph default
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1, sections 1-4.
There are two ways we can write the equation, the strong and the weak form.
More readers are probably more familiar with the strong form, and less
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is referred to as the element stiffness matrix.
There will be more to say about the implementation in Section
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.
A good exercise would be to show this is true.
A visual representation of these shape functions is shown in Figure
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above (see Figure
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If the transformation was from an arbitratry shaped quadrilateral to the
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method: the global domain and the parent element domain (Figure
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elements (Figure
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) is made up of the two terms from the left hand side of the integral equation.
The full element stiffness matrix for the quadralilateral element is an
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term is under-integrated (one point rule) to keep the large penalty value
from effectively locking the element
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).
The momentum equation is equivalent to an incompressible elastic problem,
and the resulting stiffness matrix will always be positive definite
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matrix and save both storage and operations using Cholesky factorization.
More details of the method and a formal error analysis can be found in
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label{fig:5-The-element-stiffness}The element stiffness matrix for
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%the 2D Cartesian stokes equation.
The 8 by 8 matrix is make up of
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%16 2 by 2 submatrices of the form shown below.
The $
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lambda$ and
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mu$ parts are shown separately for clarity.}
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much less than the cost of using a refined grid with the Galerkin method.
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\begin_inset ERT
status collapsed
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@@ -16595,7 +16215,7 @@
\begin_inset ERT
status collapsed
-\begin_layout Plain Layout
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@@ -16621,7 +16241,7 @@
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status collapsed
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@@ -16632,7 +16252,7 @@
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@@ -16659,7 +16279,7 @@
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status collapsed
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@@ -16670,7 +16290,7 @@
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status collapsed
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@@ -16685,7 +16305,7 @@
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status collapsed
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@@ -16698,7 +16318,7 @@
\begin_inset ERT
status collapsed
-\begin_layout Plain Layout
+\begin_layout Standard
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@@ -16721,7 +16341,7 @@
\begin_inset ERT
status collapsed
-\begin_layout Plain Layout
+\begin_layout Standard
}
\end_layout
@@ -16732,8 +16352,7 @@
\end_layout
\begin_layout Chapter
-\begin_inset CommandInset label
-LatexCommand label
+\begin_inset LatexCommand label
name "cha:The-Benchmark-Cases"
\end_inset
@@ -16760,8 +16379,7 @@
\begin_layout Standard
Here we reproduce the results from Blankenbach
-\begin_inset CommandInset citation
-LatexCommand cite
+\begin_inset LatexCommand cite
key "Blankenbach et al, 1989"
\end_inset
@@ -16791,24 +16409,18 @@
\begin_inset Formula $10^{6}$
\end_inset
- respectively and the dimensional parameters are listed in Table
-\begin_inset space ~
-\end_inset
+ respectively and the dimensional parameters are listed in Table\InsetSpace ~
-
-\begin_inset CommandInset ref
-LatexCommand ref
+\begin_inset LatexCommand ref
reference "tab:Mantle-parameters-for"
\end_inset
.
The time is the runtime in seconds for the Picard version of the code using
- 100 iterations on an intel MacPro with two 3
-\begin_inset space ~
-\end_inset
-
-GHz processors using the Intel fortran compiler with -O2 optimization.
+ 100 iterations on an intel MacPro with two 3\InsetSpace ~
+GHz processors using the Intel
+ fortran compiler with -O2 optimization.
While the problems in Blankenbach et al.
are specified dimensionally, the equations are solved non-dimensionally
within ConMan for numerical stability and the scaling factors are applied
@@ -16820,13 +16432,9 @@
of Nusselt number and root-mean-square velocity, as well as the topography
and geoid at the left- and right-hand side of the domain are reported,
along with the extrapolated value from Christensen's results (see Blankenbach
- et al., 1989 for discussion) in Table
-\begin_inset space ~
-\end_inset
+ et al., 1989 for discussion) in Table\InsetSpace ~
-
-\begin_inset CommandInset ref
-LatexCommand ref
+\begin_inset LatexCommand ref
reference "tab:Blankenbach-(1989)-Benchmark-1a"
\end_inset
@@ -16835,13 +16443,9 @@
\begin_inset Formula $10^{4}$
\end_inset
-), Table
-\begin_inset space ~
-\end_inset
+), Table\InsetSpace ~
-
-\begin_inset CommandInset ref
-LatexCommand ref
+\begin_inset LatexCommand ref
reference "tab:Blankenbach-(1989)-Benchmark-1b"
\end_inset
@@ -16850,13 +16454,9 @@
\begin_inset Formula $10^{5}$
\end_inset
-), and Table
-\begin_inset space ~
-\end_inset
+), and Table\InsetSpace ~
-
-\begin_inset CommandInset ref
-LatexCommand ref
+\begin_inset LatexCommand ref
reference "tab:Blankenbach-(1989)-Benchmark-1c"
\end_inset
@@ -16879,10 +16479,7 @@
\begin_inset Formula $10^{6}$
\end_inset
- calculations (Table
-\begin_inset space ~
-\end_inset
-
+ calculations (Table\InsetSpace ~
7.4).
For the 200 by 200 grid, all values converge to Christensen's extrapolated
results.
@@ -16895,11 +16492,11 @@
sideways false
status open
-\begin_layout Plain Layout
+\begin_layout Standard
\end_layout
-\begin_layout Plain Layout
+\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="4">
@@ -16908,11 +16505,11 @@
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
-<row>
+<row topline="true">
<cell multicolumn="1" alignment="none" valignment="top" topline="true" usebox="none" special="c">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
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@@ -16921,7 +16518,7 @@
<cell multicolumn="1" alignment="none" valignment="top" topline="true" usebox="none" special="c">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
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<cell multicolumn="1" alignment="none" valignment="top" topline="true" usebox="none" special="c">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
Value
\end_layout
@@ -16939,18 +16536,18 @@
<cell alignment="none" valignment="top" topline="true" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
\end_layout
\end_inset
</cell>
</row>
-<row>
+<row topline="true">
<cell alignment="left" valignment="top" topline="true" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
depth of domain
\end_layout
@@ -16959,7 +16556,7 @@
<cell alignment="center" valignment="top" topline="true" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
\begin_inset Formula $d$
\end_inset
@@ -16971,14 +16568,11 @@
<cell alignment="center" valignment="top" topline="true" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
\begin_inset Formula $10^{6}$
\end_inset
-
-\begin_inset space ~
-\end_inset
-
+\InsetSpace ~
m
\end_layout
@@ -16987,7 +16581,7 @@
<cell alignment="none" valignment="top" topline="true" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
\end_layout
@@ -16998,7 +16592,7 @@
<cell alignment="left" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
gravitational acceleration
\end_layout
@@ -17007,7 +16601,7 @@
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
g
\end_layout
@@ -17016,7 +16610,7 @@
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
10 m/s
\begin_inset Formula $^{2}$
\end_inset
@@ -17029,7 +16623,7 @@
<cell alignment="none" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
\end_layout
@@ -17040,7 +16634,7 @@
<cell alignment="left" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
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temperature difference
\end_layout
@@ -17049,7 +16643,7 @@
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
\begin_inset Formula $\Delta T$
\end_inset
@@ -17061,7 +16655,7 @@
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
1000 K
\end_layout
@@ -17070,7 +16664,7 @@
<cell alignment="none" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
\end_layout
@@ -17081,7 +16675,7 @@
<cell alignment="left" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
density
\end_layout
@@ -17090,7 +16684,7 @@
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
\begin_inset Formula $\rho$
\end_inset
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<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
-4000
-\begin_inset space ~
-\end_inset
-
+\begin_layout Standard
+4000\InsetSpace ~
kg m
\begin_inset Formula $^{-3}$
\end_inset
@@ -17119,7 +16710,7 @@
<cell alignment="none" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
\end_layout
@@ -17130,7 +16721,7 @@
<cell alignment="left" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
thermal diffusivity
\end_layout
@@ -17139,7 +16730,7 @@
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
\begin_inset Formula $\kappa$
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<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
\begin_inset Formula $1.0\times10^{-6}$
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<cell alignment="none" valignment="top" usebox="none">
\begin_inset Text
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@@ -17182,7 +16773,7 @@
<cell alignment="left" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
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@@ -17191,7 +16782,7 @@
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
\begin_inset Formula $\alpha$
\end_inset
@@ -17203,7 +16794,7 @@
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
\begin_inset Formula $2.5\times10^{-5}$
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<cell alignment="none" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
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@@ -17226,7 +16817,7 @@
<cell alignment="left" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
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kinematic viscosity
\end_layout
@@ -17235,7 +16826,7 @@
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
\begin_inset Formula $\eta$
\end_inset
@@ -17247,7 +16838,7 @@
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
\begin_inset Formula $2.5\times10^{19}$
\end_inset
@@ -17259,7 +16850,7 @@
<cell alignment="none" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
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<cell alignment="left" valignment="top" usebox="none">
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<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
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@@ -17324,7 +16915,7 @@
<cell alignment="none" valignment="top" usebox="none">
\begin_inset Text
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<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
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@@ -17389,18 +16980,18 @@
<cell alignment="none" valignment="top" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
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+<row bottomline="true">
<cell alignment="left" valignment="top" bottomline="true" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
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\end_layout
@@ -17409,7 +17000,7 @@
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
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\end_inset
@@ -17421,7 +17012,7 @@
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
\begin_inset Formula $6.673\times10^{-11}$
\end_inset
@@ -17433,7 +17024,7 @@
<cell alignment="none" valignment="top" bottomline="true" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
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-\begin_layout Plain Layout
+\begin_layout Standard
\begin_inset Caption
-\begin_layout Plain Layout
-\begin_inset CommandInset label
-LatexCommand label
+\begin_layout Standard
+\begin_inset LatexCommand label
name "tab:Mantle-parameters-for"
\end_inset
@@ -17465,9 +17055,8 @@
\end_layout
-\begin_layout Plain Layout
-\begin_inset CommandInset label
-LatexCommand label
+\begin_layout Standard
+\begin_inset LatexCommand label
name "default"
\end_inset
@@ -17486,11 +17075,11 @@
sideways false
status open
-\begin_layout Plain Layout
+\begin_layout Standard
\begin_inset ERT
status collapsed
-\begin_layout Plain Layout
+\begin_layout Standard
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@@ -17503,19 +17092,19 @@
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="8">
<features>
-<column alignment="right" valignment="top" width="0">
+<column alignment="right" valignment="top" leftline="true" width="0">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
-<column alignment="right" valignment="top" width="0">
-<row>
+<column alignment="right" valignment="top" rightline="true" width="0">
+<row topline="true">
<cell multicolumn="1" alignment="none" valignment="top" topline="true" usebox="none" special="|c">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
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@@ -17524,7 +17113,7 @@
<cell multicolumn="1" alignment="none" valignment="top" topline="true" usebox="none" special="c">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
V
\begin_inset Formula $_{rms}$
\end_inset
@@ -17537,7 +17126,7 @@
<cell multicolumn="1" alignment="none" valignment="top" topline="true" usebox="none" special="c">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
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@@ -17546,7 +17135,7 @@
<cell multicolumn="1" alignment="none" valignment="top" topline="true" usebox="none" special="c">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
Topo
\begin_inset Formula $_{L}$
\end_inset
@@ -17559,7 +17148,7 @@
<cell multicolumn="1" alignment="none" valignment="top" topline="true" usebox="none" special="c">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
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\begin_inset Formula $_{R}$
\end_inset
@@ -17572,7 +17161,7 @@
<cell multicolumn="1" alignment="none" valignment="top" topline="true" usebox="none" special="c">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
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@@ -17585,7 +17174,7 @@
<cell multicolumn="1" alignment="none" valignment="top" topline="true" usebox="none" special="c">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
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@@ -17598,18 +17187,18 @@
<cell multicolumn="1" alignment="none" valignment="top" topline="true" usebox="none" special="c|">
\begin_inset Text
-\begin_layout Plain Layout
+\begin_layout Standard
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\end_layout
\end_inset
</cell>
</row>
-<row>
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<cell alignment="right" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
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\begin_inset Text
-\begin_layout Plain Layout
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<cell alignment="center" valignment="top" topline="true" usebox="none">
\begin_inset Text
-\begin_layout Plain Layout
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-\begin_layout Plain Layout
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<cell alignment="right" valignment="top" topline="true" rightline="true" usebox="none">
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<cell alignment="center" valignment="top" usebox="none">
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<cell alignment="center" valignment="top" usebox="none">
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-\begin_inset CommandInset ref
-LatexCommand ref
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<features>
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<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
-<column alignment="right" valignment="top" width="0">
-<row>
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<cell multicolumn="1" alignment="none" valignment="top" topline="true" usebox="none" special="c">
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<cell multicolumn="1" alignment="none" valignment="top" topline="true" usebox="none" special="c">
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<cell multicolumn="2" alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
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@@ -19902,8 +19479,7 @@
\begin_layout Standard
This geometry is based on the subduction zone benchmark by
-\begin_inset CommandInset citation
-LatexCommand cite
+\begin_inset LatexCommand cite
key "van Keken et al 2008"
\end_inset
@@ -19922,21 +19498,16 @@
\begin_layout Standard
This problem will not reproduce the exact result presented in
-\begin_inset CommandInset citation
-LatexCommand cite
+\begin_inset LatexCommand cite
key "van Keken et al 2008"
\end_inset
because this version of ConMan does not have the discontinuous velocity
field, which turns out to be critical to match the benchmark results.
- The resulting thermal structure should look like Figure
-\begin_inset space ~
-\end_inset
+ The resulting thermal structure should look like Figure\InsetSpace ~
-
-\begin_inset CommandInset ref
-LatexCommand ref
+\begin_inset LatexCommand ref
reference "fig:wedge"
\end_inset
@@ -19952,12 +19523,11 @@
sideways false
status open
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-\begin_layout Plain Layout
-\begin_inset CommandInset label
-LatexCommand label
+\begin_layout Standard
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name "fig:wedge"
\end_inset
@@ -19970,7 +19540,7 @@
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filename images/wedge.pdf
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status collapsed
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empty
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status collapsed
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empty
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59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
\series default
-\begin_inset Newline newline
-\end_inset
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+\newline
Everyone is permitted to copy and distribute verbatim copies of this license
document, but changing it is not allowed.
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status collapsed
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@@ -20168,15 +19736,12 @@
either verbatim or with modifications and/or translated into another language.
(Hereinafter, translation is included without limitation in the term "modificat
ion.") Each licensee is addressed as "you."
-\begin_inset Newline newline
-\end_inset
-
+\newline
-\begin_inset Newline newline
-\end_inset
-
- Activities other than copying, distribution and modification are not covered
- by this License; they are outside its scope.
+\newline
+ Activities other than copying,
+ distribution and modification are not covered by this License; they are
+ outside its scope.
The act of running the Program is not restricted, and the output from the
Program is covered only if its contents constitute a work based on the
Program (independent of having been made by running the Program).
@@ -20438,7 +20003,7 @@
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status collapsed
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status collapsed
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status collapsed
-\begin_layout Plain Layout
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@@ -20592,13 +20157,9 @@
\begin_layout Quote
(signature of Ty Coon)
-\begin_inset Newline newline
-\end_inset
-
+\newline
1 April 1989
-\begin_inset Newline newline
-\end_inset
-
+\newline
Ty Coon, President of Vice
\end_layout
@@ -20612,8 +20173,7 @@
\end_layout
\begin_layout Bibliography
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
+\begin_inset LatexCommand bibitem
label "1"
key "Blankenbach et al, 1989"
@@ -20642,8 +20202,7 @@
\end_layout
\begin_layout Bibliography
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
+\begin_inset LatexCommand bibitem
label "2"
key "Brooks 1981"
@@ -20660,8 +20219,7 @@
\end_layout
\begin_layout Bibliography
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
+\begin_inset LatexCommand bibitem
label "3"
key "Brooks and Hughes 1990"
@@ -20683,8 +20241,7 @@
\end_layout
\begin_layout Bibliography
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
+\begin_inset LatexCommand bibitem
label "4"
key "Hughes 1987"
@@ -20700,8 +20257,7 @@
\end_layout
\begin_layout Bibliography
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
+\begin_inset LatexCommand bibitem
label "5"
key "Hughes and Brooks 1979"
@@ -20723,8 +20279,7 @@
\end_layout
\begin_layout Bibliography
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
+\begin_inset LatexCommand bibitem
label "6"
key "Hughes et al 1988"
@@ -20749,8 +20304,7 @@
\end_layout
\begin_layout Bibliography
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
+\begin_inset LatexCommand bibitem
label "7"
key "Hughes et al 1979"
@@ -20773,8 +20327,7 @@
\end_layout
\begin_layout Bibliography
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
+\begin_inset LatexCommand bibitem
label "8"
key "Malkus and Hughes 1978"
@@ -20800,8 +20353,7 @@
\end_layout
\begin_layout Bibliography
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
+\begin_inset LatexCommand bibitem
label "9"
key "Temam 1977"
@@ -20818,8 +20370,7 @@
\end_layout
\begin_layout Bibliography
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
+\begin_inset LatexCommand bibitem
label "10"
key "Travis et al 1990"
@@ -20843,8 +20394,7 @@
\end_layout
\begin_layout Bibliography
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
+\begin_inset LatexCommand bibitem
label "11"
key "van Keken 1993"
@@ -20858,8 +20408,7 @@
\end_layout
\begin_layout Bibliography
-\begin_inset CommandInset bibitem
-LatexCommand bibitem
+\begin_inset LatexCommand bibitem
label "12"
key "van Keken et al 2008"
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