Three-Dimension Compressible Flow Using a LU-AUSM^£«Scheme
Zhao Xingyan¹£¬Su Moming²£¬Miao Yongmiao¹
(1.  Xi'an Jiaotong University, Xi'an 710049, China£»2£®Northwestem Polytechnical University)

Abstract: The AUSM^£« scheme is extended to the multidimensional hyperbolic conservation laws for curvilinear coordinates. Higher order accuracy is obtained using the monotonic upwindª²centered scheme for conservation laws (MUSCL). It combines with the LU-SGS scheme and applies to transonic inviscid flow about a circular arc bump, transonic and supersonic inviscid flows in the cascade built of two circular arc blades, and supersonic viscous flow in convergent-divergent nozzles. The computed results are compared with the experimental data and the other numerical results available in literature. The agreements are good. In conclusion, LU-AUSM^£« schemes can be applied  effectively to complex compressible flow problems.
Keywords: compressible flow;shock wave;curvilinear coordinates