[cig-commits] r18617 - in short/3D/PyLith/trunk/doc/userguide: boundaryconditions materials runpylith
brad at geodynamics.org
brad at geodynamics.org
Tue Jun 14 09:31:26 PDT 2011
Author: brad
Date: 2011-06-14 09:31:26 -0700 (Tue, 14 Jun 2011)
New Revision: 18617
Modified:
short/3D/PyLith/trunk/doc/userguide/boundaryconditions/boundaryconditions.lyx
short/3D/PyLith/trunk/doc/userguide/materials/materials.lyx
short/3D/PyLith/trunk/doc/userguide/runpylith/runpylith.lyx
Log:
Added numbers for some equations. Minor size adjustement of some figures and tables.
Modified: short/3D/PyLith/trunk/doc/userguide/boundaryconditions/boundaryconditions.lyx
===================================================================
--- short/3D/PyLith/trunk/doc/userguide/boundaryconditions/boundaryconditions.lyx 2011-06-14 15:39:16 UTC (rev 18616)
+++ short/3D/PyLith/trunk/doc/userguide/boundaryconditions/boundaryconditions.lyx 2011-06-14 16:31:26 UTC (rev 18617)
@@ -207,9 +207,9 @@
Several boundary conditions use a common formulation for the spatial and
temporal variation of the boundary condition parameters,
\begin_inset Formula
-\[
+\begin{equation}
f(\vec{x})=f_{0}(\vec{x})+\dot{f}_{0}(\vec{x})(t-t_{0}(\vec{x}))+f_{1}(\vec{x})a(t-t_{1}(\vec{x})),
-\]
+\end{equation}
\end_inset
@@ -1813,9 +1813,9 @@
\begin_layout Standard
\begin_inset Formula
-\[
+\begin{equation}
\int_{S_{T}}T_{i}\phi_{i}\, dS=\int_{S_{T}}-\rho c_{i}\sum_{m}\dot{a}_{i}^{m}N^{m}\sum_{n}c_{i}^{n}N^{n}\, dS.
-\]
+\end{equation}
\end_inset
@@ -1830,9 +1830,9 @@
\begin_layout Standard
\begin_inset Formula
-\[
+\begin{equation}
r_{i}^{n}=\sum_{\text{tract cells}}\sum_{\text{quad pts}}-\rho(x_{q})c_{i}(x_{q})\sum_{m}\dot{a}_{i}^{m}N^{m}(x_{q})N^{n}(x_{q})w_{q}|J_{cell}(x_{q})|,
-\]
+\end{equation}
\end_inset
@@ -1861,9 +1861,9 @@
\begin_layout Standard
\begin_inset Formula
-\[
+\begin{equation}
\dot{u}_{i}(t)=\frac{1}{2\Delta t}(u_{i}(t+\Delta t)-u_{i}(t-\Delta t)).
-\]
+\end{equation}
\end_inset
@@ -1892,9 +1892,9 @@
\begin_layout Standard
\begin_inset Formula
-\[
+\begin{equation}
\dot{u}_{i}(t)=\frac{1}{2\Delta t}(du_{i}(t)+u_{i}(t)-u_{i}(t-\Delta t))
-\]
+\end{equation}
\end_inset
@@ -1906,9 +1906,9 @@
\begin_layout Standard
\begin_inset Formula
-\[
+\begin{equation}
A_{ij}^{nm}=\sum_{\text{tract cells}}\sum_{\text{quad pts}}\delta_{ij}\frac{1}{2\Delta t}\rho(x_{q})v_{i}(x_{q})N^{m}(x_{q})N^{n}(x_{q})w_{q}|J_{cells}(x_{q})|,
-\]
+\end{equation}
\end_inset
@@ -2555,17 +2555,17 @@
is the same for all components at a vertex.
As a result the matrix on the left hand side simplifies to
\begin_inset Formula
-\[
+\begin{equation}
S_{ik}^{pn}=\delta_{ik}\left(\frac{1}{A^{nm+}}+\frac{1}{A^{nm-}}\right),
-\]
+\end{equation}
\end_inset
and
\begin_inset Formula
-\[
+\begin{equation}
dl_{k}^{p}=(S_{ik}^{pn})^{-1}\left(d_{i}^{p}-R_{ij}^{pn}(u_{j}^{n+}-u_{j}^{n-})+R_{ij}^{pn}\left((A_{ij}^{nm+})^{-1}r_{i}^{n+}-(A_{ij}^{nm-})^{-1}r_{i}^{n-}\right)\right).
-\]
+\end{equation}
\end_inset
@@ -2588,10 +2588,10 @@
using
\begin_inset Formula
-\begin{gather*}
+\begin{gather}
\Delta du_{j}^{n-}=(A_{ij}^{nm-})^{-1}C_{ki}^{pn}dl_{k}^{p}\text{ and}\\
\Delta du_{j}^{n+}=-(A_{ij}^{nm+})^{-1}C_{ki}^{pn}dl_{k}^{p}.
-\end{gather*}
+\end{gather}
\end_inset
Modified: short/3D/PyLith/trunk/doc/userguide/materials/materials.lyx
===================================================================
--- short/3D/PyLith/trunk/doc/userguide/materials/materials.lyx 2011-06-14 15:39:16 UTC (rev 18616)
+++ short/3D/PyLith/trunk/doc/userguide/materials/materials.lyx 2011-06-14 16:31:26 UTC (rev 18617)
@@ -541,7 +541,7 @@
<column alignment="center" valignment="top" width="1.5in">
<column alignment="center" valignment="top" width="1.8in">
<column alignment="center" valignment="top" width="1.5in">
-<column alignment="center" valignment="top" width="1.5in">
+<column alignment="center" valignment="top" width="1in">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
Modified: short/3D/PyLith/trunk/doc/userguide/runpylith/runpylith.lyx
===================================================================
--- short/3D/PyLith/trunk/doc/userguide/runpylith/runpylith.lyx 2011-06-14 15:39:16 UTC (rev 18616)
+++ short/3D/PyLith/trunk/doc/userguide/runpylith/runpylith.lyx 2011-06-14 16:31:26 UTC (rev 18617)
@@ -1339,6 +1339,7 @@
\align center
\begin_inset Graphics
filename figs/refinement2x.eps
+ scale 125
\end_inset
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