English

Semi-Analytic Solutions to the Noh Problem with a Black Box Equation of State

Computational Physics 2025-09-23 v1

Abstract

The objective of this paper is to derive a method of constructing semi-analytic solutions to the Noh Problem when the equation of state (EoS) is a black box. Such solutions can be used for verification tests of hydrodynamics codes. We present the underlying theory, the method for finding solutions, and several examples of derived semi-analytic solutions. We end by performing a classic convergence test using a non-trivial semi-analytic solution.

Keywords

Cite

@article{arxiv.2509.16766,
  title  = {Semi-Analytic Solutions to the Noh Problem with a Black Box Equation of State},
  author = {Seth Gerberding and Jeff Peterson and Jim Ferguson and Scott Ramsey},
  journal= {arXiv preprint arXiv:2509.16766},
  year   = {2025}
}