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<?xml version="1.0" ?><simulation xmds-version="2">
<testing>
<xsil_file absolute_tolerance="1e-7" expected="vibstring_re_expected.xsil" name="vibstring_re.xsil" relative_tolerance="1e-5">
<moment_group absolute_tolerance="1e-7" number="1" relative_tolerance="1e-6"/>
<moment_group absolute_tolerance="1e-3" number="2" relative_tolerance="1e-6"/>
</xsil_file>
</testing>
<name>vibstring_re</name>
<author>Emily McAlister and Graham Dennis</author>
<description>
Vibrating string - Test for Richardson Extrapolation
</description>
<features>
<benchmark/>
<bing/>
<fftw plan="estimate"/>
<globals>
<![CDATA[
const real T = 10.0;
const real mass = 1e-3;
const real length = 1.0;
const real mu = mass/length;
]]>
</globals>
</features>
<geometry>
<propagation_dimension> t </propagation_dimension>
<transverse_dimensions>
<dimension domain="(0, 1)" lattice="100" name="x"/>
</transverse_dimensions>
</geometry>
<vector initial_basis="x" name="main" type="complex">
<components>
u uDot
</components>
<initialisation>
<![CDATA[
u = exp(-100.0*(x-0.5)*(x-0.5));
uDot = 0.0;
]]>
</initialisation>
</vector>
<sequence>
<integrate algorithm="REMM" interval="2e-3" steps="100">
<samples>50 50</samples>
<operators>
<operator constant="yes" kind="ex">
<operator_names>L</operator_names>
<![CDATA[
L = -T*kx*kx/mu;
]]>
</operator>
<integration_vectors>main</integration_vectors>
<![CDATA[
du_dt = uDot;
duDot_dt = L[u];
]]>
</operators>
</integrate>
</sequence>
<output format="binary">
<sampling_group basis="x" initial_sample="yes">
<moments>amp</moments>
<dependencies>main</dependencies>
<![CDATA[
amp = u.Re();
]]>
</sampling_group>
<sampling_group basis="kx(50)" initial_sample="no">
<moments>amp</moments>
<dependencies>main</dependencies>
<![CDATA[
amp = u.Re();
]]>
</sampling_group>
</output>
<info>
Script compiled with XMDS2 version VERSION_PLACEHOLDER (SUBVERSION_REVISION_PLACEHOLDER)
See http://www.xmds.org for more information.
</info>
<XSIL Name="moment_group_1">
<Param Name="n_independent">2</Param>
<Array Name="variables" Type="Text">
<Dim>3</Dim>
<Stream><Metalink Format="Text" Delimiter=" \n"/>
t x amp
</Stream>
</Array>
<Array Name="data" Type="double">
<Dim>51</Dim>
<Dim>100</Dim>
<Dim>3</Dim>
<Stream><Metalink Format="Binary" UnsignedLong="uint64" precision="double" Type="Remote" Encoding="LittleEndian"/>
vibstring_re_expected_mg0.dat
</Stream>
</Array>
</XSIL>
<XSIL Name="moment_group_2">
<Param Name="n_independent">2</Param>
<Array Name="variables" Type="Text">
<Dim>3</Dim>
<Stream><Metalink Format="Text" Delimiter=" \n"/>
t kx amp
</Stream>
</Array>
<Array Name="data" Type="double">
<Dim>50</Dim>
<Dim>50</Dim>
<Dim>3</Dim>
<Stream><Metalink Format="Binary" UnsignedLong="uint64" precision="double" Type="Remote" Encoding="LittleEndian"/>
vibstring_re_expected_mg1.dat
</Stream>
</Array>
</XSIL>
</simulation>
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