Modeling of shock wave passage through porous copper using moving window technique and kernel gradient correction in smoothed particle hydrodynamics method

TL;DR

This paper presents a new SPH-based approach with a moving window technique and kernel correction to model shock waves in porous copper, capturing wave structure and elastic precursors accurately.

Contribution

It introduces a novel moving window method combined with kernel gradient correction in SPH for modeling shock waves in porous materials.

Findings

Accurate calculation of shock Hugoniot for porous copper

Detailed analysis of compacting wave structure

Observation of elastic precursor behavior near yield strength

Abstract

This paper introduces a novel methodology for modeling stationary shock waves in porous materials, which employs the recently developed moving window technique. The core of this method is the iterative adjustment of the reference frame to the boundary conditions that regulate the entry and exit of Lagrangian particles from a fixed computational domain, which are used to model the flow of a compressible medium. A Godunov-type smoothed particle hydrodynamics (SPH) method with reconstruction of values at the contact is employed for the purposes of modeling. Kernel gradient correction for this method is proposed to enhance the precision of the approximation. The shock Hugoniot of porous copper is calculated, and the structure of the compacting wave and elastic precursor in porous copper at shock amplitude near the yield strength of solid copper is studied.