# 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…

## 42 Citations

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