the simulation of pigment flow on bibulous paper(2)

The 3-layer paper model

 

I implemented a new 3-layer model in my code, which I think is more relay on the fact than the author’s.

The first layer is advection layer, water and pigment flow on this layer in the rule of LBM and  also evaporat into air and saturate into fibre layer.

 

The second layer is fibre layer, the water and pigment saturated into this layer from advection layer by time step, and move to neighbor lattices  by the affection of capillarity, also sediment into the fixed layer.

The last layer is fixed layer, in this layer, water and pigment is not move anymore.

 

 

 

To make the organic pattern and arbitrary flow like the water flow on the rough surface, involve the restriction condition of paper is necessary, I implement the ‘fibre’ map from author’s thesis to restrict the flow speed and create a new noise map to simulate the paper saturability variance of each lattice.

  the saturability is created by perlin noise,http://en.wikipedia.org/wiki/Perlin_noise , perlin noise is a random noise pattern contain hierarchical details.

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