MPI-DS Seminar: Time-Relaxation Kinetic Model for Multi-Temperature and Turbulent Flows

The time-relaxation kinetic model has been well developed for modelling and simulation (i.e. GKS and UGKS) in viscous flows, rarefied gas, plasma physics, etc. In this talk, I will discuss the multiple time-relaxation kinetic models: First, for Mars exploration, an ex-tended Bhatnagar-Gross-Krook model has been proposed for the linear and symmetric tri-atomic molecular carbon dioxide (CO2). This kinetic model addresses the thermal non-equilibrium three-temperature effects arising from the interactions among the translational, rotational, and vibrational modes of CO2 at room temperature. Secondly, for the first time, a modified time-relaxation kinetic model is proposed for modelling compressible turbulence on unresolved grids. This kinetic model is linked to six-variable macroscopic governing equations, as the sixth equation governs the evolution of the unresolved turbulence kinetic energy. Numerical simulations in high-order schemes and physical analyses confirm the accuracy of multiple time-relaxation kinetic models.