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<?xml version="1.0" encoding="UTF-8"?>
<simulation xmds-version="2">
<testing>
<xsil_file name="nonconstant_complex_separated_ip_2d.xsil" expected="derivative_2d_expected.xsil" absolute_tolerance="1e-7" relative_tolerance="1e-5" />
</testing>
<name>nonconstant_complex_separated_ip_2d</name>
<author>Graham Dennis</author>
<description>
Simple one-dimensional diffusion using the IP operator (of complex type)
</description>
<features>
<benchmark />
<bing />
<fftw plan="estimate" />
</features>
<geometry>
<propagation_dimension> t </propagation_dimension>
<transverse_dimensions>
<dimension name="y" lattice="32" domain="(-1.0, 1.0)" />
<dimension name="x" lattice="32" domain="(-1.0, 1.0)" />
</transverse_dimensions>
</geometry>
<vector name="main" initial_basis="x y" type="complex">
<components>
phi
</components>
<initialisation>
<![CDATA[
phi = exp(-y*y - 0.5*x*x);
]]>
</initialisation>
</vector>
<sequence>
<integrate algorithm="RK4" interval="10.0" steps="2400" tolerance="1e-5">
<samples>24</samples>
<operators>
<operator kind="ip" constant="no" type="complex" dimensions="x">
<operator_names>Lx</operator_names>
<![CDATA[
Lx = -0.02*(kx*kx);
]]>
</operator>
<operator kind="ip" constant="no" type="complex" dimensions="y">
<operator_names>Ly</operator_names>
<![CDATA[
Ly = -0.02*(ky*ky);
]]>
</operator>
<integration_vectors>main</integration_vectors>
<![CDATA[
dphi_dt = Lx[phi] + Ly[phi];
]]>
</operators>
</integrate>
</sequence>
<output format="binary">
<sampling_group basis="y x" initial_sample="yes">
<moments>dens</moments>
<dependencies>main</dependencies>
<![CDATA[
dens = mod2(phi);
]]>
</sampling_group>
</output>
</simulation>
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