  Non-equilibrium effects play a vital role in high-speed and rarefied gas
flows and the accurate simulation of these flow regimes are far beyond the
capability of near-local-equilibrium Navier-Stokes-Fourier equations. Eu
proposed generalized hydrodynamic equations which are consistent with the laws
of irreversible thermodynamics to solve this problem. Based on Eu's generalized
hydrodynamics equations, a computational model, namely the nonlinear coupled
constitutive relations(NCCR),was developed by R.S.Myong and applied
successfully to one-dimensional shock wave structure and two-dimensional
rarefied flows. In this paper, finite volume schemes, including LU-SGS time
advance scheme, MUSCL interpolation and AUSMPW+ scheme, are fistly adopted to
investigate NCCR model's validity and potential in three-dimensional complex
hypersonic rarefied gas flows. Moreover, in order to solve the computational
stability problems in 3D complex flows,a modified solution is developed for the
NCCR model. Finally, the modified solution is tested for a slip complex flow
over a 3D hollow cylinder-flare configuration. The numerical results show that
the NCCR model by the modified solution yields good solutions in better
agreement with the DSMC results and experimential data than NSF equations, and
imply NCCR model's great potential capability in further application.
