Compressible viscous flows past a space plane have been elucidated by parallel computation on the NWT. The NWT is a vector-parallel architecture computer system which achieves remarkably high performance in processing speed and memory storage. We have examined the advantages of the NWT in order to simulate realistic flow problems in engineering, such as the investigation of global and local aerodynamic characteristics of a space plane. The accuracy of the computational results has been verified by comparison with experimental data. The simplified domain-decomposition technique introduced here is easy to apply for parallel implementation to significantly improve the acceleration rate of computations. The larger available memory storage enables us to conduct a grid refinement study through which several points concerning CFD simulation of a space plane are obtained.