改进跨音速位势方法的讨论

 简要地回顾并讨论了传统位势方法之不足。对改进传统位势方法的两种必要的修正(熵修正和涡修正)的量级在小扰动条件下作了分析和估值。结果表明涡修正是更高阶小量,因而作为第一步修正可采用非等熵位势流来近似。采用熵修正激波算子来计及非等熵的激波突跃条件,并考虑了由熵修正带来的尾迹条件的变化。算例表明非等熵位势方法能得到预期的改进位势方法的效果。

DISCUSSION OF IMPROVED TRANSONIC POTENTIAL METHOD

In this paper some points concerning transonic potential method are briefly reviewed. The correction orders--nonisentropic jump condition and the vorticity generated behind the shock--are analysed and estimated then under the condition of small disturbance. Comparing two correction orders shows that vorticity correction is indeed of higher order. A nonisentropic potential formulation is described in this paper. Numerical examples depict that this nonisentropic method can simulate inviscid flow better than traditional potential method, while it has the advantage of simplicity in mathematical aspect as in original potential method.