Том: 314 , Год издания: 2016

Peshkov and Romenski [110], further denoted as HPR model. In that framework, the viscous stresses are computed from the so-called distortion tensorA, which is one of the primary state variables in the proposed first order system. A very important key feature of the HPR model is its ability to describe at the same timethe behavior of inviscid and viscous compressible Newtonian and non-Newtonian fluidswith heat conduction, as well as the behavior of elastic and visco-plastic solids. Actually, the model treats viscous and inviscid fluids as generalized visco-plastic solids. This is achieved via a stiff source term that accounts for strain relaxation in the evolution equations of A. Also heat conduction is included via a first order hyperbolic system for the thermal impulse, from which the heat flux is computed. The governing PDE system is hyperbolic and fully consistent with the first and the second principle of thermodynamics. It is also fundamentally differentfrom first.