On the reversibility of the compressible, inviscid, linearized Navier-Stokes equations: Implications for numerical schemes

Time reversibility is an important characteristic of inviscid Navier-Stokes equations. While the physical implications of the reversibility are well understood at low speeds, the ramifications are less evident in compressible flows. In this paper, we examine the reversibility of flow-thermodynamics interactions at high Mach numbers. Analytical and numerical investigations are carried out in a shear flow at the linear rapid distortion limit. Implications of the findings for closure modeling and flow control are briefly discussed.