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Patterns/Experiments/DanWills/grayscott-historyWaveDC_movingWormsAndSolitons.vti
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<?xml version="1.0"?> | ||
<VTKFile type="ImageData" version="0.1" byte_order="LittleEndian" compressor="vtkZLibDataCompressor"> | ||
<RD format_version="4"> | ||
<description> | ||
A gray-scott reaction-diffusion system is simulated in the a and b reagents, with two coupled simpler systems in c,d,e. | ||
The c reagent implements a diffuse kind of 'history' of the other reagents (ie so that gliders can leave a 'trail'). | ||
The d and e reagents implement the wave equation, with additional damping and shaping controls, which is fed by the other reagents (for example gliders can leave a rippley 'wake' behind them). | ||
The extra reagents can feed back into the gray-scott ones, and also control the gray-scott parameters (including diffusion). | ||
Implemented by Dan Wills ([email protected]) based on earlier work from the Ready codebase. | ||
</description> | ||
<rule name="Gray-Scott" type="formula" wrap="1" neighborhood_type="vertex" neighborhood_range="1" neighborhood_weight="laplacian"> | ||
<param name="timestep"> | ||
1 | ||
</param> | ||
<param name="D_a"> | ||
0.2 | ||
</param> | ||
<param name="D_b"> | ||
0.1 | ||
</param> | ||
<param name="k"> | ||
0.059 | ||
</param> | ||
<param name="F"> | ||
0.09 | ||
</param> | ||
<param name="a_pow"> | ||
1 | ||
</param> | ||
<param name="b_pow"> | ||
2 | ||
</param> | ||
<param name="a_to_c"> | ||
0 | ||
</param> | ||
<param name="b_to_c"> | ||
0.022 | ||
</param> | ||
<param name="c_damp"> | ||
0.001 | ||
</param> | ||
<param name="D_c"> | ||
0.15 | ||
</param> | ||
<param name="c_pow"> | ||
1.01 | ||
</param> | ||
<param name="c_pow_norm"> | ||
0.75 | ||
</param> | ||
<param name="c_clamp_min"> | ||
0 | ||
</param> | ||
<param name="c_clamp_max"> | ||
1 | ||
</param> | ||
<param name="c_to_k"> | ||
0 | ||
</param> | ||
<param name="c_to_F"> | ||
-0.027 | ||
</param> | ||
<param name="c_to_a"> | ||
0 | ||
</param> | ||
<param name="c_to_b"> | ||
-0.002 | ||
</param> | ||
<param name="c_to_Da"> | ||
0 | ||
</param> | ||
<param name="c_to_Db"> | ||
0 | ||
</param> | ||
<param name="wave_diffusion"> | ||
0.0002 | ||
</param> | ||
<param name="wave_damp"> | ||
0.97 | ||
</param> | ||
<param name="wave_power"> | ||
1.005 | ||
</param> | ||
<param name="a_to_wave"> | ||
0 | ||
</param> | ||
<param name="b_to_wave"> | ||
0.02 | ||
</param> | ||
<param name="c_to_wave"> | ||
0 | ||
</param> | ||
<param name="wave_DC_value"> | ||
0.5 | ||
</param> | ||
<param name="wave_clamp"> | ||
0.5 | ||
</param> | ||
<param name="wave_to_F"> | ||
-0.02 | ||
</param> | ||
<param name="wave_to_k"> | ||
-0.008 | ||
</param> | ||
<param name="wave_to_Da"> | ||
0 | ||
</param> | ||
<param name="wave_to_Db"> | ||
-0.01 | ||
</param> | ||
<param name="wave_to_a"> | ||
0 | ||
</param> | ||
<param name="wave_to_b"> | ||
0 | ||
</param> | ||
<param name="wave_to_c"> | ||
0 | ||
</param> | ||
<formula number_of_chemicals="5"> | ||
delta_a = (D_a + c*c_to_Da + (d-wave_DC_value)*wave_to_Da) * laplacian_a - pow(a,(float4)a_pow)*pow(b,(float4)b_pow) + (F + c_to_F*c + (d-wave_DC_value)*wave_to_F)*(1.0f-a) + c*c_to_a + (d-wave_DC_value)*wave_to_a; | ||
delta_b = (D_b + c*c_to_Db + (d-wave_DC_value)*wave_to_Db) * laplacian_b + pow(a,(float4)a_pow)*pow(b,(float4)b_pow) - ((F + c_to_F*c + (d-wave_DC_value)*wave_to_F)+(k + c*c_to_k + (d-wave_DC_value)*wave_to_k))*b + c*c_to_b + (d-wave_DC_value)*wave_to_b; | ||
delta_c = -c*c_damp + a*a_to_c + b*b_to_c + (d-wave_DC_value)*wave_to_c + D_c * laplacian_c; | ||
c = clamp( pow( (float4)( fabs(c)/c_pow_norm ), (float4)c_pow )*c_pow_norm, c_clamp_min, c_clamp_max ); | ||
d = wave_DC_value + clamp( sign(d-wave_DC_value) * pow( (float4)( fabs(d-wave_DC_value) * wave_damp), (float4)wave_power ) + a * a_to_wave + b * b_to_wave + c * c_to_wave, -wave_clamp, wave_clamp); | ||
delta_e = (laplacian_d) * wave_diffusion; | ||
delta_d = e + delta_e; | ||
</formula> | ||
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</rule> | ||
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<overlay chemical="a"> | ||
<overwrite> | ||
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</overwrite> | ||
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<overlay chemical="b"> | ||
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