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Gray-Scott 2D

anypinn create my-project --template gray-scott-2d

Coupled two-field reaction-diffusion PDE. Recovers diffusion rates and reaction parameters from pattern snapshots.

Problem

\[ \frac{\partial u}{\partial t} = D_u \nabla^2 u - uv^2 + F(1-u), \qquad \frac{\partial v}{\partial t} = D_v \nabla^2 v + uv^2 - (F+k)v \]

Features Demonstrated

  • 2D PDE with coupled fields
  • PDEResidualConstraint with field-subset scoping
  • Multi-parameter recovery (diffusion rates and reaction parameters)

Results

Gray-Scott 2D results