Numerical Analysis of Compressible Inviscid and Viscous Flows Using LU AUSMPW Schemes

An AUSMPW scheme in conjunction with the third order MUSCL scheme is developed for the multidimensional hyperbolic conservation laws in curvilinear coordinates.The present scheme is combined with the LU SGS Scheme for compressible Euler and Navier Stokes equations solution.A new MUSCL limiter is proposed.The effects of the present limiter are analyzed in the aspects of efficiency,accuracy and robustness of LU AUSMPW schemes.In order to identify the performance of LU AUSMPW schemes,a two dimensional transonic and supersonic inviscid flow in the cascade of two circular arc blades and a two dimensional supersonic viscous flow in convergent divergent nozzle are chosen as numerical examples.The accuracy of the scheme has been assessed by comparing the results with experimental data or other numerical results available in literature.It is shown that the LU AUSMPW schemes in conjunction with present limiter possess obvious superiority in aspects of convergence rate,accuracy and robustness for calculating compressible flow fields,and there is no any spurious oscillation near the shock wave.