Duality in matrix lattice Boltzmann models
arXiv:0711.4891 · doi:10.1103/PhysRevE.78.066701
Abstract
The notion of duality between the hydrodynamic and kinetic (ghost) variables of lattice kinetic formulations of the Boltzmann equation is introduced. It is suggested that this notion can serve as a guideline in the design of matrix versions of the lattice Boltzmann equation in a physically transparent and computationally efficient way.
12 pages, 3 figures
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- Enhanced computational performance of the lattice Boltzmann model for simulating micron- and submicron-size particle flows and non-Newtonian fluid flows
- Cross Correlators and Galilean Invariance in Fluctuating Ideal Gas Lattice Boltzmann Simulations
- Generalized lattice Boltzmann method: Modeling, analysis, and elements