Title: Verification Studies for the Noh Problem using Non-ideal Equations of State and Finite Strength Shocks,
Abstract: The Noh verification test problem is extended beyond the commonly studied
ideal gamma-law gas to more realistic equations of state (EOSs) including the
stiff gas, the Noble-Abel gas, and the Carnahan-Starling EOS for hard-sphere
fluids. Self-similarity methods are used to solve the Euler compressible flow
equations, which in combination with the Rankine-Hugoniot jump conditions
provide a tractable general solution. This solution can be applied to fluids
with EOSs that meet criterion such as it being a convex function and having a
corresponding bulk modulus. For the planar case the solution can be applied to
shocks of arbitrary strength, but for cylindrical and spherical geometries it
is required that the analysis be restricted to strong shocks. The exact
solutions are used to perform a variety of quantitative code verification
studies of the Los Alamos National Laboratory Lagrangian hydrocode FLAG.