  Hypersonic flow around a vehicle in near space flight is associated with
multiscale non-equilibrium physics at a large variation of local Knudsen number
from the leading edge highly compressible flow to the trailing edge particle
free transport. To accurately capture the solution in all flow regimes from the
continuum Navier-Stokes solution to the rarefied gas dynamics in a single
computation requires genuinely multiscale method. The unified gas-kinetic
wave-particle (UGKWP) method targets on the simulation of such a multicale
transport. Due to the wave-particle decomposition, the dynamics in the
Navier-Stokes wave and kinetic particle transport has been unified
systematically and efficiently under the unified gas-kinetic scheme (UGKS)
framework. In this study, the UGKWP method with the non-equilibrium among
translation, rotation and vibration modes, is developed based on a multiple
temperature relaxation model. The real gas effect for high speed flow in
different flow regimes has been properly captured. Numerical tests, including
Sod tube, normal shock structure, hypersonic flow around two-dimensional
cylinder and three-dimensional flow around a sphere and space vehicle, have
been conducted to validate the UGKWP method. In comparison with the discrete
velocity method (DVM)-based Boltzmann solver and particle-based direct
simulation Monte Carlo (DSMC) method, the UGKWP method shows remarkable
advantages in terms of computational efficiency, memory reduction, and
automatic recovering of multiscale solution.
