# Efficient supersonic flow simulations using lattice Boltzmann methods based on numerical equilibria

@article{Latt2020EfficientSF, title={Efficient supersonic flow simulations using lattice Boltzmann methods based on numerical equilibria}, author={Jonas Latt and Christophe Coreixas and Jo{\"e}l B{\'e}ny and Andrea Parmigiani}, journal={Philosophical transactions. Series A, Mathematical, physical, and engineering sciences}, year={2020}, volume={378} }

A double-distribution-function based lattice Boltzmann method (DDF-LBM) is proposed for the simulation of polyatomic gases in the supersonic regime. The model relies on a numerical equilibrium that has been extensively used by discrete velocity methods since the late 1990s. Here, it is extended to reproduce an arbitrary number of moments of the Maxwell–Boltzmann distribution. These extensions to the standard 5-constraint (mass, momentum and energy) approach lead to the correct simulation of…

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