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Tweaked text and parameters.
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timhutton committed Feb 18, 2024
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10 changes: 5 additions & 5 deletions Patterns/KardarParisiZhang1986/drainage_erosion.vti
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<VTKFile type="ImageData" version="0.1" byte_order="LittleEndian" header_type="UInt32" compressor="vtkZLibDataCompressor">
<RD format_version="6">
<description>
Erosion weighted by the drainage area, by simulating runoff. This method is discussed here: &lt;a href=&quot;https://hal.science/hal-04049125v1/document&quot;&gt;https://hal.science/hal-04049125v1/document&lt;/a&gt;

See &lt;a href=&quot;open:Patterns/KardarParisiZhang1986/erosion.vti&quot;&gt;erosion.vti&lt;/a&gt; for a simpler implementation of erosion.
Erosion weighted by the drainage area. This method is discussed here: &lt;a href=&quot;https://hal.science/hal-04049125v1/document&quot;&gt;https://hal.science/hal-04049125v1/document&lt;/a&gt;

Channel a is the height of the surface.

Channel b is the estimate of the drainage area (the area of the watershed) of each point.
Channel b is the estimate of the drainage area (the area of the watershed) of each point. It is found by simulating the flow of surface water.

Channel c is the uplift pattern.
Channel c is the uplift pattern, added to keep things in an approximate steady-state.

Channel d is a noise image used to add randomness to the result.

See &lt;a href=&quot;open:Patterns/KardarParisiZhang1986/erosion.vti&quot;&gt;erosion.vti&lt;/a&gt; for a simpler implementation of erosion.
</description>
<rule name="drainage" type="kernel" neighborhood_type="vertex">
<kernel number_of_chemicals="4" block_size_x="1" block_size_y="1" block_size_z="1">
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6 changes: 3 additions & 3 deletions Patterns/KardarParisiZhang1986/uniform_snowfall.vti
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<VTKFile type="ImageData" version="0.1" byte_order="LittleEndian" header_type="UInt32" compressor="vtkZLibDataCompressor">
<RD format_version="6">
<description>
The &lt;a href=&quot;https://en.wikipedia.org/wiki/Kardar%E2%80%93Parisi%E2%80%93Zhang_equation&quot;&gt;KPZ equation&lt;/a&gt;:
The &lt;a href=&quot;https://en.wikipedia.org/wiki/Kardar%E2%80%93Parisi%E2%80%93Zhang_equation&quot;&gt;KPZ equation&lt;/a&gt; is:

da/dt = laplacian_a + gradient_mag_a
da/dt = laplacian_a + gradient_mag_squared_a

The height increases in areas of higher gradient, producing
rounded mounds. This is a simple model of surface deposition, such as uniform snowfall.
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<show_multiple_chemicals value="true"/>
<active_chemical value="a"/>
<low value="0.4"/>
<high value="2"/>
<high value="1.7"/>
<vertical_scale_1D value="30"/>
<vertical_scale_2D value="150"/>
<contour_level value="0.25"/>
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