SHI Chong-guang, ZHU Cheng-xiang, YOU Yan-cheng
DOI Number XXX-YYY-ZZZ
Conference Number HiSST 2018-853
In order to solve the three-dimensional flowfield behind the elliptic conical shock wave, a reference plane method (RPM) is applied at the cylindrical coordinate system. The main idea is to transform the Cartesian coordinate system into the cylindrical coordinate system. Then the three-dimensional formulas can be easily applied to calculate the projection flowfield at the reference plane. When the whole projection flowfield has been solved at the cylindrical coordinate system, the actual threedimensional flowfield at the Cartesian coordinate system will be acquired by the utility of geometry conversion. To validate the applicability of the reference plane method, first it’s applied to the concave circle conical shock wave and compare with the MOC’s result. It shows that the flowfields solving by the reference plane method and the method of characteristic are the same, which demonstrates the applicability of the reference plane method to solve the axisymmetric flowfield. Then the reference plane method is utilized to elliptic conical shock wave for a relatively large range of attack angle. The shock wave shape and the flowfield behind the elliptic conical shock wave at zero and three degrees angle of attack calculated by the reference plane method are in good agreement with the CFD’s. Furthermore, the error of static pressure ratio is 0.8% and 0.6% respectively, which means the reference plane method is also capable for solving the three-dimensional flowfield behind the elliptic conical shock wave with attack angle.