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PreprintCC BY 4.0arXiv

Vectorial lattice Boltzmann solver for compressible inviscid flows with generic equation of state

  • S. A. Hosseini
  • I. V. Karlin
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Abstract

We develop a vectorial lattice Boltzmann model with a space-time adaptive relaxation coefficient, combined with adaptive time-stepping for compressible Euler dynamics with generic equation of state. The model, due to special form of the relaxation coefficient devised here is shown to converge to the Euler limit with second-order accuracy in the absence of shocks under acoustic scaling. The solver is robust and able to properly capture compressible gas dynamics for both ideal and non-ideal equations of state, including the Bethe--Zel'dovich--Thompson regime. This is verified and demonstrated through a variety of configurations of increasing complexity.

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Cite

BibTeXRIS
BibTeX
@misc{hosseini2026vectorial,
  title = {{Vectorial lattice Boltzmann solver for compressible inviscid flows with generic equation of state}},
  author = {S. A. Hosseini and I. V. Karlin},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.10639},
  eprint = {2609.10639},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.10639},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Vectorial lattice Boltzmann solver for compressible inviscid flows with generic equation of state
AU  - S. A. Hosseini
AU  - I. V. Karlin
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.10639
UR  - https://arxiv.org/abs/2609.10639
AB  - We develop a vectorial lattice Boltzmann model with a space-time adaptive relaxation coefficient, combined with adaptive time-stepping for compressible Euler dynamics with generic equation of state. The model, due to special form of the relaxation coefficient devised here is shown to converge to the Euler limit with second-order accuracy in the absence of shocks under acoustic scaling. The solver is robust and able to properly capture compressible gas dynamics for both ideal and non-ideal equations of state, including the Bethe--Zel'dovich--Thompson regime. This is verified and demonstrated through a variety of configurations of increasing complexity.
ER  -