【摘要】 高阶格式这里包含两种不同的含义,一种是人们常说的高精度格式;另一种是高分辨率格式,因为它常与高精度有密切联系,但两者毕竟有严格的区别.在格式的构建上,相比之下高分辨率格式较高精度格式难得多.本文从4个方面讨论了高精度格式与高分辨率格式在相关领域中的应用并给出了大量算例,这对澄清人们对高阶格式的认识,弄清它们各自的适用范围是十分必要的.大量的数值计算与研究表明:对于复杂流场,尤其是既考虑激波与边界层相互作用,又要考虑壁面传热的流场,用低阶数值格式计算是无法得到与实验较接近的数值结果的,因此发展高阶格式对处理高温涡轮的气膜冷却问题以及高速飞行器的气动热计算是至关重要的.更多还原

【Abstract】 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.A great 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.更多还原