Angular moments models for rarefied gas dynamics. Numerical comparisons with kinetic and Navier-Stokes equations

Sébastien Guisset (1)

1 CEA - Commissariat à l'énergie atomique et aux énergies alternatives

Angular moments models based on a minimum entropy problem have been largely used to describe the transport of photons or charged particles. In this communication the M1 and M2 angular moments models are presented for rarefied gas dynamics applications. After introducing the models studied, numerical simulations carried out in various collisional regimes are presented and illustrate the interest in considering angular moments models for rarefied gas dynamics applications. For each numerical test cases, the differences observed between the angular moments models and the well-known Navier-Stokes equations are discussed and compared with reference kinetic solutions.

Mots clés: Angular moments models; minimum entropy closure; rarefied gas dynamics; Navier-Stokes equations; kinetic equations

Domaines: Physique mathématique [math-ph]

Sébastien Guisset. Angular moments models for rarefied gas dynamics. Numerical comparisons with kinetic and Navier-Stokes equations. 2019. ⟨hal-02251326⟩