Slip and jump boundary conditions for the compressible Navier-Stokes equations based on an asymptotic analysis of the Boltzmann equation

Kazuo Aoki (1) , Céline Baranger (2) , Hattori Masanari (1) , Shingo Kosuge (1) , Giorgio Martalo (3, 4) , Julien Mathiaud (2, 3) , Luc Mieussens (3, 4)

1 Kyoto University
2 CESTA - Centre d'études scientifiques et techniques d'Aquitaine
3 IMB - Institut de Mathématiques de Bordeaux
4 CARDAMOM - Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts

The slip/jump coefficients and the Knudsen-layer functions for the time-dependent version of the generalized slip-flow theory have been obtained for the Ellipsoidal Statistical (ES) model up to the second order of the Knudsen number expansion. In particular, simple but exact conversion formulas between the ES and Bhatnagar–Gross–Krook (BGK) model have been established.

Domaines: Analyse numérique [math.NA]

Kazuo Aoki, Céline Baranger, Hattori Masanari, Shingo Kosuge, Giorgio Martalo, et al.. Slip and jump boundary conditions for the compressible Navier-Stokes equations based on an asymptotic analysis of the Boltzmann equation. RGD 30 - 30th International Symposium on Rarefied Gas Dynamics, Jul 2016, Victoria, Canada. ⟨10.1063/1.4967542⟩. ⟨hal-01448462⟩