In this paper, we apply projective integration methods to hyperbolic moment models of the Boltzmann equation and BGK equation, investigate numerical properties resulting scheme. Projective is an explicit scheme that tailored problems with large spectral gaps between slow (one or many) fast eigenvalue clusters model. The analysis a linearized model clearly shows reveals multi-scale nature for wh...

The goal of this research is developing a unified numerical method for simulating continuum and transitional flow. To achieve our ultimate goal, first, hyperbolic-relaxation equations are introduced, then a new discretization method is developed. The method is based on Huynh’s upwind moment scheme, with implicit treatment of the source term. Our previous linear method is generalized to 1-D nonl...