基于RoeM格式思想的激波稳定格式构造

Roe格式有着较高的黏性分辨率以及间断分辨率，但它在实际流动模拟时很容易出现激波不稳定现象.此外，它在无黏定常计算时无法保证总焓守恒.为了在保留Roe格式分辨率高的优点基础上改善其上述缺陷，将RoeM格式与高阶激波判别方法相结合，提出了RoeMW1，RoeMW2格式.计算结果表明，在流动较为简单的情况下提出的RoeMW1， RoeMW2 格式可以有效避免激波不稳定现象的出现且保持总焓守恒.而在一些较为复杂的流动结构计算中，虽然比之于RoeM格式均有所改善，但在RoeMW1基础上改进的RoeMW2格式在间断模拟时鲁棒性更强.

Construction of shock stable scheme based on RoeM scheme

Roe's flux difference splitting (FDS), a widely used scheme today, encounters shock inability that needs to be avoided in hypersonic flows. Moreover, it can't preserve the total enthalpy while in steady inviscid flows' simulations. To get over the defects above, schemes called RoeMW1, RoeMW2 that are based on the construction of RoeM scheme were proposed to cure the shock inability and preserve the total enthalpy while in steady inviscid flows' simulations. The results tell that in most simulations the RoeMW1 and RoeMW2 schemes can achieve the goal of curing the shock inability and keeping the conservation of total enthalpy. In addition, both RoeMW1 and RoeMW2 are better than RoeM. However, in some complex situation the RoeMW2 scheme constructed by some improvement of the RoeMW1 is more robust than RoeMW1.