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Focusing on the Taylor-Green vortex flow, this study demonstrates the capability of the lattice Boltzmann method to simulate compressible turbulent dynamics of non-ideal dense gases. The numerical scheme relies on a hybrid approach coupling the lattice Boltzmann algorithm with a conservative finite-volume discretization for the total energy. In particular, simulations at an initial Mach number of one reveal notable differences in the temporal evolution of the dilatation field within supersonic regions, as compared to an equivalent perfect gas simulation.

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Hybrid Lattice Boltzmann Method for Non-Ideal Gases: Application to the Compressible Taylor-Green Vortex Flow

  • 会议论文

  • 发表日期：

    2025年

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  • Lucien Vienne,
  • Alexis Giauque,
  • Emmanuel Lévêque

摘要

Focusing on the Taylor-Green vortex flow, this study demonstrates the capability of the lattice Boltzmann method to simulate compressible turbulent dynamics of non-ideal dense gases. The numerical scheme relies on a hybrid approach coupling the lattice Boltzmann algorithm with a conservative finite-volume discretization for the total energy. In particular, simulations at an initial Mach number of one reveal notable differences in the temporal evolution of the dilatation field within supersonic regions, as compared to an equivalent perfect gas simulation.