Geometrical effects on compressible turbulent mixing

Compressible turbulent mixing poses challenges to classical turbulent theory due to different energy transfer and dissipation mechanisms. We investigate how shearless compressible turbulent flows mix and decay and how the initial dimensions of interfaces affect the dynamics by conducting high-fidelity numerical simulations. Three different geometries of turbulent flows, which are adjacent to irrotational flow, are considered: plane, cylinder, and sphere. Our results demonstrate that turbulent interfaces propagate as a power-law in time with different exponents, confirmed by dimensional analysis. Additionally, dilatational energy transfer is subject to the dimensions of turbulent flows. This physics is well described by the scaling law.