Sprecher
Beschreibung
We present a unified theoretical and numerical framework for self-similar multi-shock implosions achieving ultra-high compression in a uniform solid spherical target. Extending the classical Guderley model to N-stacked, spherically converging shocks,we derive self-similar solutions and the scaling law for the final density. One-dimensional Lagrangian hydrodynamic simulations confirm this relation over a broad range of parameters, from the weakly to the strongly non- linear regime. The results show that cumulative compression increases systematically with the number of stacked shocks while entropy generation is strongly suppressed, asymptotically approaching a quasi-isentropic limit as N →∞. This volumetric scheme inherently eliminates the Rayleigh–Taylor instability that plagues shell-based implosions and thus provides a robust, instability-free compression path-way applicable to inertial confinement fusion (ICF) and other high-energy-density systems. The framework bridges similarity theory with realistic multi-shock dynamics, guiding the design of advanced laser-driven compression schemes.
