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A generic, mass conservative local grid refinement technique for lattice‐Boltzmann schemes

A generic, mass conservative local grid refinement technique for the lattice‐Boltzmann method (LBM) is proposed. As a volumetric description of the lattice‐Boltzmann equation is applied, mass conservation can be imposed by allowing the lattice‐Boltzmann particles to move from coarse grid cells to fine grid cells and vice versa in the propagation step. In contrast to most existing techniques, no spatial and temporal interpolation of particle densities is applied. Moreover, since the communication between the coarse and the fine grids is independent on the collision step, the method can be used for any LBM scheme.