Extension of the Planar Noh Problem to Aluminum, Iron, Copper, and Tungsten

TL;DR

This paper extends the classic Noh problem to metals like aluminum, iron, copper, and tungsten using an analytical EOS, validating numerical simulations with exact solutions and demonstrating high accuracy and convergence.

Contribution

It introduces an extension of the Noh problem to condensed matter using the stiff-gas EOS and validates numerical codes against analytical solutions.

Findings

Excellent agreement between numerical and analytical results.

Both codes show first-order spatial convergence.

The method effectively models shock compression in metals.

Abstract

The classic Noh verification test problem is extended beyond the traditional ideal gas and applied to shock compression of condensed matter. Using the stiff-gas equation of state (EOS), which admits an exact analytical solution for the planar Noh problem, we examine the shock compression of Al, Fe, Cu, and W. Analytical EOS predictions for the jump in density and the location of the shock are compared to numerical results obtained using the same EOS within Los Alamos compressible-flow codes Flag and xRage. Excellent agreement between the numerical and exact results is observed. Both codes exhibit first-order spatial convergence with increasing mesh resolution.