Accurate and robust simulation of compressible flows across all speed regimes, particularly those involving strong discontinuities at high Mach numbers, remains a significant challenge for the lattice Boltzmann method (LBM). Hybrid recursive regularized lattice Boltzmann (HRR-LB) models provide a promising approach by coupling an LBM solver for density and momentum with a finite-volume method (FVM) for the energy equation. In this work, we present a new, easily implemented HRR-LB framework where the FVM solver for the total energy equation is fully colocated with the LBM solver. The enhanced robustness and accuracy of the proposed hybrid lattice Boltzmann method stem from two essential components: the recursive-regularized collision operator and a thermodynamically consistent hybrid coupling strategy. The performance of the proposed framework is systematically validated across eight challenging benchmarks, including high-Mach-number isentropic vortex convection, blast waves, and Mach 10 double-Mach reflection. The proposed hybrid lattice Boltzmann method demonstrates excellent stability and accuracy across a wide range of compressible-flow regimes, effectively overcoming the long-standing difficulty of applying standard nearest-neighbor streaming–collision LBM to high–Mach–number flows.
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