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<?xml version="1.0" encoding="UTF-8"?>
<simulation xmds-version="2">
<testing>
<xsil_file name="diffusion_dst.xsil" expected="diffusion_dst_expected.xsil" absolute_tolerance="1e-7" relative_tolerance="1e-5" />
</testing>
<name>diffusion_dst</name>
<author>Graham Dennis</author>
<description>
Simple one-dimensional diffusion solved using a Discrete Sine Transform (odd boundary conditions at both ends)
Odd boundary conditions essentially mimics zero dirichlet boundary conditions for linear problems.
</description>
<features>
<benchmark />
<error_check />
<bing />
<fftw plan="exhaustive" />
<openmp />
</features>
<geometry>
<propagation_dimension> t </propagation_dimension>
<transverse_dimensions>
<dimension name="y" lattice="128" domain="(-1.0, 1.0)" transform="dst" />
</transverse_dimensions>
</geometry>
<vector name="main" initial_basis="y" type="double">
<components>
phi
</components>
<initialisation>
<![CDATA[
phi = exp(-3*y*y);
]]>
</initialisation>
</vector>
<sequence>
<integrate algorithm="ARK45" interval="20.0" steps="2400" tolerance="1e-5">
<samples>48</samples>
<operators>
<operator kind="ip" constant="yes" fourier_space="ky">
<operator_names>L</operator_names>
<![CDATA[
L = -0.02*ky*ky;
]]>
</operator>
<integration_vectors>main</integration_vectors>
<![CDATA[
dphi_dt = L[phi];
]]>
</operators>
</integrate>
</sequence>
<output format="binary">
<sampling_group initial_sample="yes">
<!-- Any dimension not mentioned is assumed to be in real space and its middle element will be sampled -->
<!-- Note that dimensions can be in any order. Not that I can think of a reason why you would want to do that -->
<dimension name="y" lattice="128" fourier_space="y" />
<moments>dens</moments>
<dependencies>main</dependencies>
<![CDATA[
dens = mod2(phi);
]]>
</sampling_group>
</output>
<info>
Script compiled with xpdeint 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>4</Dim>
<Stream><Metalink Format="Text" Delimiter=" \n"/>
t y dens error_dens
</Stream>
</Array>
<Array Name="data" Type="double">
<Dim>49</Dim>
<Dim>128</Dim>
<Dim>4</Dim>
<Stream><Metalink Format="Binary" UnsignedLong="uint32" precision="double" Type="Remote" Encoding="LittleEndian"/>
diffusion_dst_expected_mg0.dat
</Stream>
</Array>
</XSIL>
</simulation>
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