Modélisation et simulation d'écoulements compressibles et diphasiques
Analyse numérique
Ondes de choc
LBM
Publications scientifiques au M2P2
2025
Ksenia Kozhanova, Song Zhao, Raphaël Loubère, Pierre Boivin. A hybrid a posteriori MOOD limited lattice Boltzmann method to solve compressible fluid flows – LBMOOD. Journal of Computational Physics, 2025, 521, Part 2, pp.113570. ⟨10.1016/j.jcp.2024.113570⟩. ⟨hal-04802259⟩ Plus de détails...
In this paper we blend two lattice-Boltzmann (LB) numerical schemes with an a posteriori Multi-dimensional Optimal Order Detection (MOOD) paradigm to solve hyperbolic systems of conservation laws in 1D and 2D. The first LB scheme is robust to the presence of shock waves but lacks accuracy on smooth flows. The second one has a second-order of accuracy but develops non-physical oscillations when solving steep gradients. The MOOD paradigm produces a hybrid LB scheme via smooth and positivity detectors allowing to gather the best properties of the two LB methods within one scheme. Indeed, the resulting scheme presents second order of accuracy on smooth solutions, essentially non-oscillatory behaviour on irregular ones, and, an ‘almost fail-safe’ property concerning positivity issues. The numerical results on a set of sanity test cases and demanding ones are presented assessing the appropriate behaviour of the hybrid LBMOOD scheme in 1D and 2D.
Ksenia Kozhanova, Song Zhao, Raphaël Loubère, Pierre Boivin. A hybrid a posteriori MOOD limited lattice Boltzmann method to solve compressible fluid flows – LBMOOD. Journal of Computational Physics, 2025, 521, Part 2, pp.113570. ⟨10.1016/j.jcp.2024.113570⟩. ⟨hal-04802259⟩
