A Low Dissipative and Stable Cell-Centered Finite Volume Method with the Simultaneous Approximation Term for Compressible Turbulent Flows

A simultaneous-approximation term is a non-reflecting boundary condition that usually accompanied by summation-by-parts schemes for provable time stability. While high-order convective flux based on reconstruction often employed in finite-volume method compressible turbulent flow, methods with the property involve either equally weighted averaging or second-order central fluxes. In present study, cell-centered Naiver–Stokes equations was developed combining extrapolation and low-dissipative discretization without property. Direct numerical simulations large eddy simulation show resultant combination leads to comparable performance of scheme combined reported literature. Furthermore, characteristic implemented method, its compared direct better maintained average target pressure at flow outlet, which useful turbomachinery aerodynamic applications, while preserved field near outlet.