The testing of some extra accuracy schemes on the problem of the shock wave – vortex interaction

Abstract

In the paper, the calculation results of the shock wave – isoentropic vortex interaction have been presented. A complex nonstationary shock wave pattern was analyzed. The influence of the scheme for approximating the convective flows on the solution accuracy was shown to be weak. The results of calculations conducted using some extra accuracy schemes are presented: the data obtained by the second-order TVD scheme and the fifth-order WENO one being compared. The most accurate reconstruction of the vortex structure after its interaction with the shock wave was found to be achieved in the calculations when taking the WENO scheme.

Keywords

• shock wave interaction
• isoentropic vortex
• numerical simulation
• finite volume method
• extra accuracy scheme