Abstract
Linear interaction analysis is a popular tool to analyze shock–turbulence interactions. With assumptions that simplify the complicated two-way interactions, linear analysis presents explicit solutions for post-shock turbulence. The present work extends the analytical expressions to pressure-dilatation. Both the streamwise and transverse components are presented as a function of mean Mach number and streamwise location. The proposed solutions for pressure-dilatation agree well with data from direct numerical simulations when the adopted assumptions in linear analysis are met. The spatial evolutions under different flow conditions are presented, and the asymptotic states observed with increasing Mach number are discussed.
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