What question did this study set out to answer?

To develop a kinetic model in the lattice Boltzmann framework for simulating non-ideal compressible fluid flows with accuracy.

Lattice Boltzmann model for non-ideal compressible fluid dynamics

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New kinetic model simulates non-ideal compressible fluid flows, indicating broader applicability of lattice Boltzmann methods.

To develop a kinetic model in the lattice Boltzmann framework for simulating non-ideal compressible fluid flows with accuracy.
Implemented first-neighbour lattices with correction terms via quasi-equilibrium attractors.
Ensured positive-definite and Galilean-invariant Navier–Stokes dissipation rates.
Validated model through simulations of shock-drop interactions at Mach numbers up to 1.47.
Accurately reproduces Euler and Navier–Stokes hydrodynamic limits.
Shows high numerical stability and thermodynamic consistency across various flow regimes.
Achieves quantitatively accurate simulations of shock-drop interactions with minimal kinetic stencil.

Hosseini et al. (2026) studied this question.

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