An efficient numerical method for highly loaded transonic cascade flow

作者：Liu Yi^*

来源：Journal of Engineering Mathematics, 2008, 60(1): 115-124.

DOI：10.1007/s10665-007-9150-x

• boundary layer
• highly loaded
• implicit
• shock
• transonic turbine flow

In this paper, an efficient numerical method for transonic viscous flow in a highly loaded turbine vane cascade, where the interaction of a shock wave and boundary layer often leads to very complicated flow phenomena, is developed. The numerical code, a modified implicit flux-vector-splitting solver of the Navier-Stokes equations (MIFVS), is extended to simulate such transonic cascade flow. A compressible low-Reynolds-number k-epsilon model, together with a transition-modified damping function, has been implemented into the MIFVS code. With this extended MIFVS solver, the main feature of transonic flow and shock and boundary-layer interactions in the highly loaded transonic turbine vane are efficiently predicted with satisfactory accuracy. The convergence rate is found to be three times faster than that of flux vector-splitting (FVS) methods.

• 出版日期2008-1