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<?xml version="1.0" encoding="UTF-8"?>
<simulation xmds-version="2">
<testing>
<arguments>--latticesize 100</arguments>
<xsil_file name="runtime_lattice_vibstring_ark89.xsil" expected="../integrators/vibstring_expected.xsil" absolute_tolerance="1e-7" relative_tolerance="1e-5">
<moment_group number="1" absolute_tolerance="1e-7" relative_tolerance="1e-6" />
<moment_group number="2" absolute_tolerance="1e-3" relative_tolerance="1e-6" />
</xsil_file>
</testing>
<name>runtime_lattice_vibstring_ark89</name>
<author>Mattias Johnsson</author>
<description>
Vibrating string
</description>
<features>
<benchmark />
<bing />
<fftw plan="estimate" />
<validation kind="run-time"/>
<globals>
<![CDATA[
const real T = 10.0;
const real mass = 1e-3;
const real length = 1.0;
const real mu = mass/length;
]]>
</globals>
<arguments>
<argument name="latticesize" type="integer" default_value="50"/>
</arguments>
</features>
<geometry>
<propagation_dimension> t </propagation_dimension>
<transverse_dimensions>
<dimension name="x" lattice="latticesize" domain="(0, 1)" />
</transverse_dimensions>
</geometry>
<vector name="main" initial_basis="x" 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="ARK89" interval="2e-3" steps="100" tolerance="1e-7">
<samples>50 50</samples>
<operators>
<operator kind="ex" constant="yes">
<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>
</simulation>
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