[cig-commits] r15832 - doc/geodynamics.org/benchmarks/trunk/long

[luis at geodynamics.org]

Author: luis
Date: 2009-10-18 00:18:59 -0700 (Sun, 18 Oct 2009)
New Revision: 15832

Modified:
   doc/geodynamics.org/benchmarks/trunk/long/divergence.html
   doc/geodynamics.org/benchmarks/trunk/long/divergence.rst
Log:
Updated long/divergence.rst

Modified: doc/geodynamics.org/benchmarks/trunk/long/divergence.html
===================================================================
--- doc/geodynamics.org/benchmarks/trunk/long/divergence.html	2009-10-18 07:18:54 UTC (rev 15831)
+++ doc/geodynamics.org/benchmarks/trunk/long/divergence.html	2009-10-18 07:18:59 UTC (rev 15832)
@@ -19,10 +19,17 @@
 and strain rate invariant for a numerical solution. For a constant
 divergence [;d;], the analytic solution for this setup is</p>
 <blockquote>
-[;v_x = x \cdot d/2, v_y = y \cdot d/2;]</blockquote>
+[;\begin{align*}
+v_x &amp;= x \cdot d/2, \\
+v_y &amp;= y \cdot d/2
+\end{align*} ;]</blockquote>
 <p>In 3D, the analytic solution is</p>
 <blockquote>
-[;v_x = x \cdot d/3, v_y = y \cdot d/3, v_z = z \cdot d/3;]</blockquote>
+[;\begin{align*}
+v_x &amp;= x \cdot d/3, \\
+v_y &amp;= y \cdot d/3, \\
+v_z &amp;= z \cdot d/3
+\end{align*};]</blockquote>
 <p>In both cases, the strain rate invariant equals [;\sqrt{d/2};].
 As shown in <a class="reference internal" href="#figure-2">Figure 2</a>, the main source of error in 2D comes
 from inaccuracies in the solver. <a class="reference internal" href="#figure-3">Figure 3</a> paints a different
@@ -42,7 +49,7 @@
 <p class="caption"><span class="target" id="figure-2">Figure 2</span>:
 Maximum error in the strain rate invariant for
 the 2D Divergence benchmark vs. tolerance in the
-linear solver. The resolution is kept at [;32 \times 32;],
+linear solver. The resolution is kept at 32 × 32,
 and the number of particles per cell is kept at 30.</p>
 </div>
 <!-- fig:Divergence_3D_error -->
@@ -52,8 +59,8 @@
 Maximum error in the strain rate invariant for
 the 3D Divergence benchmark vs. the number of
 particles in each cell. The resolution is kept at
-[;16 \times 16 \times 16;], and the tolerance in
-the linear solver is kept at [;10^{-7};].</p>
+16 × 16 × 16, and the tolerance in
+the linear solver is kept at 10<sup>-7</sup>.</p>
 </div>
 </div>
 </body>

Modified: doc/geodynamics.org/benchmarks/trunk/long/divergence.rst
===================================================================
--- doc/geodynamics.org/benchmarks/trunk/long/divergence.rst	2009-10-18 07:18:54 UTC (rev 15831)
+++ doc/geodynamics.org/benchmarks/trunk/long/divergence.rst	2009-10-18 07:18:59 UTC (rev 15832)
@@ -9,11 +9,18 @@
 and strain rate invariant for a numerical solution. For a constant
 divergence [;d;], the analytic solution for this setup is
 
-    [;v_x = x \\cdot d/2, v_y = y \\cdot d/2;]
+    [;\\begin{align*}
+    v_x &= x \\cdot d/2, \\\\
+    v_y &= y \\cdot d/2
+    \\end{align*} ;]
 
 In 3D, the analytic solution is
 
-    [;v_x = x \\cdot d/3, v_y = y \\cdot d/3, v_z = z \\cdot d/3;]
+    [;\\begin{align*}
+    v_x &= x \\cdot d/3, \\\\
+    v_y &= y \\cdot d/3, \\\\
+    v_z &= z \\cdot d/3
+    \\end{align*};]
 
 In both cases, the strain rate invariant equals [;\\sqrt{d/2};].
 As shown in `Figure 2`_, the main source of error in 2D comes
@@ -40,7 +47,7 @@
    _`Figure 2`:
    Maximum error in the strain rate invariant for
    the 2D Divergence benchmark vs. tolerance in the
-   linear solver. The resolution is kept at [;32 \\times 32;],
+   linear solver. The resolution is kept at 32 |times| 32,
    and the number of particles per cell is kept at 30.
 
 
@@ -52,6 +59,7 @@
    Maximum error in the strain rate invariant for
    the 3D Divergence benchmark vs. the number of
    particles in each cell. The resolution is kept at
-   [;16 \\times 16 \\times 16;], and the tolerance in
-   the linear solver is kept at [;10^{-7};].
+   16 |times| 16 |times| 16, and the tolerance in
+   the linear solver is kept at 10\ :sup:`-7`.
 
+.. |times| unicode:: U+00D7