Modified AUSMPW+ Scheme and its Application

摘要

Presented is an investigation into Advection Upstream Splitting Method (AUSM) family schemes.A newly improved version of the AUSM scheme,called AUSMPW+,was developed to increase the accuracy and computational efficiency of AUSM scheme in capturing oblique shock without compromising robustness.With a new definition of the numerical speed of sound at a cell interface,the ability of capturing an oblique shock is remarkably enhanced.Pressure wiggles near wall and shock overshoots across a strong shock are cured by introducing weighting function f based on pressure.In present research,f function was slightly modified to increase the computational efficiency.Extensive numerical test validate that AUSMPW+ scheme with modified function f provide accurate solution of not only transonic but also supersonic flow.The test cases include: (1) SOD shock tube;(2) RAE 2822 airfoil transonic flow; (3) supersonic missile with highly separated flow;(4) AGARD CT5 unsteady test.