Accuracy of Hybrid Lattice Boltzmann/Finite Difference Schemes for Reaction-Diffusion Systems

@article{Leemput2007AccuracyOH,
  title={Accuracy of Hybrid Lattice Boltzmann/Finite Difference Schemes for Reaction-Diffusion Systems},
  author={Pieter Van Leemput and Christophe Vandekerckhove and Wim Vanroose and Dirk Roose},
  journal={Multiscale Model. Simul.},
  year={2007},
  volume={6},
  pages={838-857}
}
In this article we construct a hybrid model by spatially coupling a lattice Boltzmann model (LBM) to a finite difference discretization of the partial differential equation (PDE) for reaction-diffusion systems. Because the LBM has more variables (the particle distribution functions) than the PDE (only the particle density), we have a one-to-many mapping problem from the PDE to the LBM domain at the interface. We perform this mapping using either results from the Chapman–Enskog expansion or a… 

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