Lattice-Boltzmann & immersed boundary methods


The lattice-Boltzmann method (LBM) is a quite recent numerical algorithm which can be used to solve the Navier-Stokes equations. The advantages of LBM are its versatility, comparably simple implementation, intrinsic parallelisability, and robustness. The LBM is particularly useful for complex geometries (e.g., porous media), multi-component flows (e.g., emulsions), multi-phase flows (e.g., liquid-gas systems), advection-diffusion problems or dense particular suspensions.

Figure: so-called D3Q19 lattice which is commonly used for the LBM

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