A NOVEL IMPLICIT DIFFERENCE ALGORITHM OF PRIMITIVE VARIABLE FLOW EQUATIONS WITH HIGHER-ORDER EXTRA TERMS

A stable scheme for solving the Euler and Navier-Stokes compressible p rimitive variable equations by adding higher-order extra terms to the flux-vector splitting method has been developed. The approach eliminat es approximate factorization and matrix operation. This gives an impro vement in computational efficiency as compared to the standard Beam-Wa rming and Steger implicit factored schemes. The method is spatially se cond-order accurate, fully conservative and implemented with general c oordinate transformations for treating the complex geometries. It show s good convergence rate and acceptable accuracy in capturing the shock waves. Results computed from the code include transonic hows through turbine stator, compressor rotor with large separate turbulent flow an d supersonic compressor staggered wedge cascade. Comparisons with well -documented experimental data are included and the agreements are good . (C) 1997 Elsevier Science Ltd.