[cig-commits] r15829 - doc/geodynamics.org/benchmarks/trunk/long
luis at geodynamics.org
luis at geodynamics.org
Sun Oct 18 00:18:41 PDT 2009
Author: luis
Date: 2009-10-18 00:18:39 -0700 (Sun, 18 Oct 2009)
New Revision: 15829
Modified:
doc/geodynamics.org/benchmarks/trunk/long/geomod2004.html
doc/geodynamics.org/benchmarks/trunk/long/geomod2004.rst
Log:
Updated long/geomod2004
Modified: doc/geodynamics.org/benchmarks/trunk/long/geomod2004.html
===================================================================
--- doc/geodynamics.org/benchmarks/trunk/long/geomod2004.html 2009-10-18 07:18:31 UTC (rev 15828)
+++ doc/geodynamics.org/benchmarks/trunk/long/geomod2004.html 2009-10-18 07:18:39 UTC (rev 15829)
@@ -28,15 +28,14 @@
included. Rather, the material is held fixed to the bottom boundary, and
the velocity discontinuity is smoothed over 0.2 cm. In addition, the
exact background viscosity is not prescribed by the benchmark. We have
-used $10^{12}Pa cdot s$, the same as used in the I2ELVIS calculations.
+used 10<sup>12</sup> Pa-s, the same as used in the I2ELVIS calculations.
This value is somewhere in the middle of the range of values used in the
calculations for other codes.</p>
-<div class="figure">
-<img alt="images/Extension_setup.png" src="images/Extension_setup.png" />
-<p class="caption">Figure [fig:Extension-model-setup]</p>
-<div class="legend">
-Extension model setup. Reproduced, with permission, from Buiter et al.
-[Buiter et al Numerical Sandbox]</div>
+<!-- fig:Extension-model-setup -->
+<div align="center" class="figure">
+<img alt="images/Extension_setup.png" src="images/Extension_setup.png" style="width: 90%;" />
+<p class="caption">Extension model setup. Reproduced, with permission, from Buiter et al.
+[Buiter et al Numerical Sandbox]</p>
</div>
<p>A comparison against the other codes is in Figure
[fig:Comparison-extension]. While it is difficult to perform exact
@@ -46,28 +45,26 @@
shows a run with varying resolution. Changing the resolution alters the
details, but, after a certain minimum resolution, does not change the
character of the solution.</p>
-<div class="figure">
-<img alt="images/Extension_comparision.png" src="images/Extension_comparision.png" />
-<p class="caption">Figure [fig:Comparison-extension]</p>
-<div class="legend">
-Strain rate invariant for the numerical extension models after 5 cm of
+<!-- fig:Comparison-extension -->
+<div align="center" class="figure">
+<img alt="images/Extension_comparision.png" src="images/Extension_comparision.png" style="width: 80%;" />
+<p class="caption">Strain rate invariant for the numerical extension models after 5 cm of
extension. The resolutions of the various models are:
-I2ELVIS: [;400 \times 75;]
-LAPEX-2D: [;301 \times 71;]
-Microfem: [;201 \times 61;]
-SloMo: [;401 \times 71;]
-Sopale: [;401 \times 71;]
-Gale: [;1024 \times 128;]
+I2ELVIS: 400 × 75,
+LAPEX-2D: 301 × 71,
+Microfem: 201 × 61,
+SloMo: 401 × 71,
+Sopale: 401 × 71,
+Gale: 1024 × 128.
Uper images reproduced, with permission, from Buiter et al.
-[Buiter et al Numerical Sandbox].</div>
+[Buiter et al Numerical Sandbox].</p>
</div>
-<div class="figure">
-<img alt="images/extension_sensitivity.png" src="images/extension_sensitivity.png" />
-<p class="caption">Figure [fig:extension-convergence]</p>
-<div class="legend">
-Strain rate invariant for the extension model after 5 cm of extension
-for four different resolutions: (a) 128x16, (b) 256x32, (c) 512x64,
-and (d) 1024x128.</div>
+<!-- fig:extension-convergence -->
+<div align="center" class="figure">
+<img alt="images/extension_sensitivity.png" src="images/extension_sensitivity.png" style="width: 80%;" />
+<p class="caption">Strain rate invariant for the extension model after 5 cm of extension
+for four different resolutions: (a) 128 × 16, (b) 256 × 32,
+(c) 512 × 64, and (d) 1024 × 128.</p>
</div>
</div>
<div class="section" id="shortening">
@@ -77,17 +74,16 @@
creating a velocity discontinuity at the bottom right corner. Gale's
implementation of this benchmark is in <tt class="docutils literal"><span class="pre">input/benchmarks/shortening.xml</span></tt>.</p>
<p>Like most of the codes in the benchmark, we applied diffusion (diffusion
-coefficient $10^{-6}m^2s^{-1}$) to the top surface to smooth steep
+coefficient 10<sup>-6</sup> m<sup>2</sup> s<sup>-1</sup>) to the top surface to smooth steep
slope angles. This lies within the range used in calculations used by the
-other codes (LAPEX-2D: $10^{-6}m^2s^{-1}$, Microfem: unspecified,
-Sopale: $10^{-9}m^2s^{-1}$). Again, the exact background viscosity is
-not prescribed by the benchmark, so we have used $10^{12}Pa cdot s$.</p>
-<div class="figure">
-<img alt="images/Shortening_setup.png" src="images/Shortening_setup.png" />
-<p class="caption">Figure [fig:Shortening-model-setup]</p>
-<div class="legend">
-Shortening model setup. Reproduced, with permission, from Buiter et al.
-[Buiter et al Numerical Sandbox].</div>
+other codes (LAPEX-2D: 10<sup>-6</sup> m<sup>2</sup> s<sup>-1</sup>, Microfem: unspecified,
+Sopale: 10<sup>-9</sup> m<sup>2</sup> s<sup>-1</sup>). Again, the exact background viscosity is
+not prescribed by the benchmark, so we have used 10<sup>12</sup> Pa-s.</p>
+<!-- fig:Shortening-model-setup -->
+<div align="center" class="figure">
+<img alt="images/Shortening_setup.png" src="images/Shortening_setup.png" style="width: 90%;" />
+<p class="caption">Shortening model setup. Reproduced, with permission, from Buiter et al.
+[Buiter et al Numerical Sandbox].</p>
</div>
<p>A comparison against the other codes' calculations at 14 cm of cumulative
shortening is in Figure [fig:shortening-compare]. There is more variance
@@ -95,27 +91,25 @@
behavior agrees with the other codes. Figure [fig:shortening-convergence]
shows a run with a few different resolutions, and even there we see
marked differences in behavior as we increase resolution.</p>
-<div class="figure">
-<img alt="images/Shortening_comparison.png" src="images/Shortening_comparison.png" />
-<p class="caption">Figure [fig:shortening-compare]</p>
-<div class="legend">
-Strain rate invariant for the numerical shortening models after 14 cm
+<!-- fig:shortening-compare -->
+<div align="center" class="figure">
+<img alt="images/Shortening_comparison.png" src="images/Shortening_comparison.png" style="width: 80%;" />
+<p class="caption">Strain rate invariant for the numerical shortening models after 14 cm
of shortening. The resolutions of the various models are:
-I2ELVIS: 900 x 75,
-LAPEX-2D: 351 x 71,
-Microfem: 201 x 36,
-Sopale: 401 x 71,
-Gale: 512 x 128.
+I2ELVIS: 900 × 75,
+LAPEX-2D: 351 × 71,
+Microfem: 201 × 36,
+Sopale: 401 × 71,
+Gale: 512 × 128.
The upper portion of the figure is reproduced, with permission, from
-Buiter et al. [Buiter et al Numerical Sandbox].</div>
+Buiter et al. [Buiter et al Numerical Sandbox].</p>
</div>
-<div class="figure">
-<img alt="images/shortening_sensitivity.png" src="images/shortening_sensitivity.png" />
-<p class="caption">Figure [fig:shortening-convergence]</p>
-<div class="legend">
-Strain rate invariant for the shortening model after 14 cm of
-shortening for three different resolutions: (a) 128 x 32,
-(b) 256 x 64, (c) 512 x 128.</div>
+<!-- fig:shortening-convergence -->
+<div align="center" class="figure">
+<img alt="images/shortening_sensitivity.png" src="images/shortening_sensitivity.png" style="width: 80%;" />
+<p class="caption">Strain rate invariant for the shortening model after 14 cm of
+shortening for three different resolutions: (a) 128 × 32,
+(b) 256 × 64, (c) 512 × 128.</p>
</div>
</div>
</div>
Modified: doc/geodynamics.org/benchmarks/trunk/long/geomod2004.rst
===================================================================
--- doc/geodynamics.org/benchmarks/trunk/long/geomod2004.rst 2009-10-18 07:18:31 UTC (rev 15828)
+++ doc/geodynamics.org/benchmarks/trunk/long/geomod2004.rst 2009-10-18 07:18:39 UTC (rev 15829)
@@ -1,3 +1,5 @@
+.. |times| unicode:: U+00D7
+.. |diffusion-units| replace:: m\ :sup:`2` s\ :sup:`-1`
===========
Geomod 2004
@@ -23,14 +25,15 @@
included. Rather, the material is held fixed to the bottom boundary, and
the velocity discontinuity is smoothed over 0.2 cm. In addition, the
exact background viscosity is not prescribed by the benchmark. We have
-used $10^{12}\ Pa \cdot s$, the same as used in the I2ELVIS calculations.
+used 10\ :sup:`12` Pa-s, the same as used in the I2ELVIS calculations.
This value is somewhere in the middle of the range of values used in the
calculations for other codes.
+.. fig:Extension-model-setup
.. figure:: images/Extension_setup.png
+ :align: center
+ :width: 90%
- Figure [fig:Extension-model-setup]
-
Extension model setup. Reproduced, with permission, from Buiter et al.
[Buiter et al Numerical Sandbox]
@@ -43,28 +46,30 @@
details, but, after a certain minimum resolution, does not change the
character of the solution.
+.. fig:Comparison-extension
.. figure:: images/Extension_comparision.png
+ :align: center
+ :width: 80%
- Figure [fig:Comparison-extension]
-
Strain rate invariant for the numerical extension models after 5 cm of
extension. The resolutions of the various models are:
- I2ELVIS: [;400 \\times 75;]
- LAPEX-2D: [;301 \\times 71;]
- Microfem: [;201 \\times 61;]
- SloMo: [;401 \\times 71;]
- Sopale: [;401 \\times 71;]
- Gale: [;1024 \\times 128;]
+ I2ELVIS: 400 |times| 75,
+ LAPEX-2D: 301 |times| 71,
+ Microfem: 201 |times| 61,
+ SloMo: 401 |times| 71,
+ Sopale: 401 |times| 71,
+ Gale: 1024 |times| 128.
Uper images reproduced, with permission, from Buiter et al.
[Buiter et al Numerical Sandbox].
+.. fig:extension-convergence
.. figure:: images/extension_sensitivity.png
+ :align: center
+ :width: 80%
- Figure [fig:extension-convergence]
-
Strain rate invariant for the extension model after 5 cm of extension
- for four different resolutions: (a) 128x16, (b) 256x32, (c) 512x64,
- and (d) 1024x128.
+ for four different resolutions: (a) 128 |times| 16, (b) 256 |times| 32,
+ (c) 512 |times| 64, and (d) 1024 |times| 128.
Shortening
@@ -76,16 +81,17 @@
implementation of this benchmark is in ``input/benchmarks/shortening.xml``.
Like most of the codes in the benchmark, we applied diffusion (diffusion
-coefficient $10^{-6}\ m^2\ s^{-1}$) to the top surface to smooth steep
+coefficient 10\ :sup:`-6` |diffusion-units|) to the top surface to smooth steep
slope angles. This lies within the range used in calculations used by the
-other codes (LAPEX-2D: $10^{-6}\ m^2\ s^{-1}$, Microfem: unspecified,
-Sopale: $10^{-9}\ m^2\ s^{-1}$). Again, the exact background viscosity is
-not prescribed by the benchmark, so we have used $10^{12}\ Pa \cdot s$.
+other codes (LAPEX-2D: 10\ :sup:`-6` |diffusion-units|, Microfem: unspecified,
+Sopale: 10\ :sup:`-9` |diffusion-units|). Again, the exact background viscosity is
+not prescribed by the benchmark, so we have used 10\ :sup:`12` Pa-s.
+.. fig:Shortening-model-setup
.. figure:: images/Shortening_setup.png
+ :align: center
+ :width: 90%
- Figure [fig:Shortening-model-setup]
-
Shortening model setup. Reproduced, with permission, from Buiter et al.
[Buiter et al Numerical Sandbox].
@@ -96,25 +102,27 @@
shows a run with a few different resolutions, and even there we see
marked differences in behavior as we increase resolution.
+.. fig:shortening-compare
.. figure:: images/Shortening_comparison.png
+ :align: center
+ :width: 80%
- Figure [fig:shortening-compare]
-
Strain rate invariant for the numerical shortening models after 14 cm
of shortening. The resolutions of the various models are:
- I2ELVIS: 900 x 75,
- LAPEX-2D: 351 x 71,
- Microfem: 201 x 36,
- Sopale: 401 x 71,
- Gale: 512 x 128.
+ I2ELVIS: 900 |times| 75,
+ LAPEX-2D: 351 |times| 71,
+ Microfem: 201 |times| 36,
+ Sopale: 401 |times| 71,
+ Gale: 512 |times| 128.
The upper portion of the figure is reproduced, with permission, from
Buiter et al. [Buiter et al Numerical Sandbox].
+.. fig:shortening-convergence
.. figure:: images/shortening_sensitivity.png
+ :align: center
+ :width: 80%
- Figure [fig:shortening-convergence]
+ Strain rate invariant for the shortening model after 14 cm of
+ shortening for three different resolutions: (a) 128 |times| 32,
+ (b) 256 |times| 64, (c) 512 |times| 128.
- Strain rate invariant for the shortening model after 14 cm of
- shortening for three different resolutions: (a) 128 x 32,
- (b) 256 x 64, (c) 512 x 128.
-
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