High-order scheme includes two different concepts

one is the high-accuracy scheme;the other is the high-resolution scheme

both of which are closely correlated but also strictly differentiated.In the construction of concepts

high-resolution scheme is much difficult than high-accuracy scheme.The applications of these two schemes in correlative fields were presented with numerous examples in four aspects.Agreat number of numerical results and researches indicate that

the computational results obtained from low-order schemes are not close to the experimental results for complex flow fields

especially since the interaction between the shock wave and the boundary layer and the flow fields of thermal conductivity have to be considered.So

developing the high-order scheme is crucial to resolving the cooling problem of the film of the high-temperature turbo and calculation of aerothermodynamic of hypersonic aircrafts.