Resumen de Interacción de ondas de choque planas con flujos inhomogéneos
The propagation of shock waves in inhomogeneous/turbulent flows is a fundamental problem in different fields, ranging from shock tube research, astrophysics, aerodynamics, inertial confinement fusion (ICF), and high energy density physics (HEDP), where the shock waves traveling into an inhomogeneous medium generate additional vorticity, density, and pressure downstream fluctuations that may affect shock performance. The characteristics of the turbulent flow that ensues downstream strongly depends on the type of the flow disturbances ahead of the shock. In this work, we show for the first time, exact analytical expressions for the perturbation field that evolve downstream, both in space and time, as a result of the interaction of a shock wave with single-mode vortical/entropic/acoustic perturbations upstream. The details of the interaction with each perturbation mode are explicitly shown separately. Besides, statistical averages of the quantities of interest downstream (kinetic energy, acoustic flows, density amplification and vorticity) are easily performed for isotropic spectra in front of the shock. The comparison with existing experiments (shock/vorticity spectrum) and numerical simulations (DNS, LES for shock vorticity/entropy /acoustic isotropic spectra) is very good. All the quantities can be expressed as a function of the shock strength and the gas compressibility, and they can also be derived as closed-form exact analytical expressions. These formulas are further reduced to simpler asymptotic expressions in the limits of weak/strong shock and high compressibility.
