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New pattern: KortewegDeVries1895/kdv.vti
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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,79 @@ | ||
| <?xml version="1.0"?> | ||
| <VTKFile type="ImageData" version="0.1" byte_order="LittleEndian" header_type="UInt32" compressor="vtkZLibDataCompressor"> | ||
| <RD format_version="6"> | ||
| <description> | ||
| The <a href="https://en.wikipedia.org/wiki/Korteweg%E2%80%93de_Vries_equation">Korteweg-de Vries (KdV) equation</a> is a model of waves on shallow water surfaces: | ||
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| da/dt = k * a * da/dx - d^3a/dx^3 | ||
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| The initial pattern splits into solitons that move at different speeds. The solitons can pass through each other | ||
| without being disturbed. | ||
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| (Eventually instabilities appear because we are using only simple numerical methods.) | ||
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| </description> | ||
| <rule name="advection" type="formula" wrap="1" neighborhood_type="vertex"> | ||
| <param name="timestep"> | ||
| 0.001000 | ||
| </param> | ||
| <param name="k"> | ||
| -0.500000 | ||
| </param> | ||
| <formula number_of_chemicals="1"> | ||
| delta_a = k * a * x_gradient_a - x_deriv3_a; | ||
| </formula> | ||
| </rule> | ||
| <initial_pattern_generator apply_when_loading="true" zero_first="true"> | ||
| <overlay chemical="a"> | ||
| <overwrite/> | ||
| <gaussian height="1" sigma="0.05"> | ||
| <point3D x="0.5" y="0.5" z="0.5"/> | ||
| </gaussian> | ||
| <everywhere/> | ||
| </overlay> | ||
| </initial_pattern_generator> | ||
| <render_settings> | ||
| <surface_color r="1" g="1" b="1"/> | ||
| <colormap value="spectral"/> | ||
| <color_low r="0" g="0" b="1"/> | ||
| <color_high r="1" g="0" b="0"/> | ||
| <show_color_scale value="false"/> | ||
| <show_multiple_chemicals value="true"/> | ||
| <active_chemical value="a"/> | ||
| <low value="0"/> | ||
| <high value="1"/> | ||
| <vertical_scale_1D value="30"/> | ||
| <vertical_scale_2D value="15"/> | ||
| <contour_level value="0.25"/> | ||
| <cap_contour value="true"/> | ||
| <invert_contour_cap value="false"/> | ||
| <use_wireframe value="false"/> | ||
| <show_cell_edges value="false"/> | ||
| <show_bounding_box value="true"/> | ||
| <show_chemical_label value="true"/> | ||
| <slice_3D value="true"/> | ||
| <slice_3D_axis value="z"/> | ||
| <slice_3D_position value="0.5"/> | ||
| <show_displacement_mapped_surface value="true"/> | ||
| <color_displacement_mapped_surface value="false"/> | ||
| <use_image_interpolation value="true"/> | ||
| <timesteps_per_render value="1024"/> | ||
| <show_phase_plot value="false"/> | ||
| <phase_plot_x_axis value="a"/> | ||
| <phase_plot_y_axis value="b"/> | ||
| <phase_plot_z_axis value="c"/> | ||
| <plot_ab_orthogonally value="false"/> | ||
| </render_settings> | ||
| </RD> | ||
| <ImageData WholeExtent="0 255 0 0 0 0" Origin="0 0 0" Spacing="1 1 1" Direction="1 0 0 0 1 0 0 0 1"> | ||
| <Piece Extent="0 255 0 0 0 0"> | ||
| <PointData> | ||
| <DataArray type="Float64" Name="a" format="binary" RangeMin="0" RangeMax="0"> | ||
| AQAAAACAAAAACAAAFwAAAA==eJxjYBgFo2AUjIJRMApGwUgDAAgAAAE= | ||
| </DataArray> | ||
| </PointData> | ||
| <CellData> | ||
| </CellData> | ||
| </Piece> | ||
| </ImageData> | ||
| </VTKFile> |