Numerical investigation of transverse jet in supersonic crossflow using a high-order nonlinear filter scheme

Abstract

We carried out a numerical study of a sonic transverse jet into a Ma = 2.0 crossflow based on a hybrid Reynolds-averaged Navier-Stokes (RANS)/large eddy simulation (LES) method. In order to enhance the calculation accuracy, an improved high-order finite-difference scheme is introduced. This scheme consists of an eighth-order central scheme and a nonlinear dissipation filter. The filter is derived from the explicit seventh-order weighted compact nonlinear scheme (WCNS-E−7). By incorporating a local smoothness indicator and a discontinuity sensor into the nonlinear filter, we further decrease the unnecessary dissipation and increase the resolution. With the proposed scheme, the key flow features, including shock structures, large-scale vortical structures and jet-crossflow shear/mixing layers, are well captured. The simulation shows a good agreement with the experiment data in jet penetration and diffusion.