隐式ENO格式及其在内流问题中的应用

IMPLICIT ENO SCHEME AND ITS APPLICATIONS ON INTERNAL FLOW PROBLEMS

本文研究了文献[1]提出的隐式ENO格式,并对其隐式求解过程进行了改进,而且耦合以CSCM式的隐式特征边界处理。通过对超音速内流无粘流动(Euler方程)以及粘性流动(Navier-Stokes方程)的ENO格式数值解研究表明:改进后的格式是成功的,其稳定性好且节省内存。同时,本文也讨论了一些尚待进一步研究的问题。

In this paper, we present a modified implicit ENO scheme and combine it with CSCM -like implicit supra -characteristic boundary treatment. Numencal experiment with this scheme for 2-D channel fupersonic flow aboat 4% circular arc has damenstrated the sharp shock-capturing capability of the scheme. The results are also compared with those of TVD scheme. The futher application to the viscid flow in simplified inlet is made. They show a good agreelment with the results of SIP/Beam-warming schemes except nearby the reflection point of shock. But our results seem to be more reasonable.