What question did this study set out to answer?

This research aims to derive semi-analytic solutions for the Noh problem using a black box equation of state.

January 14, 2026Physics of Fluids0 citationsOpen Access

Semi-analytic solutions to the Noh problem with a black box EoS

SGSeth GerberdingLos Alamos National Laboratory JPJeff H PetersonLos Alamos National Laboratory JFJim FergusonLos Alamos National Laboratory

Key Points

This research aims to derive semi-analytic solutions for the Noh problem using a black box equation of state.
Developed a method for constructing semi-analytic solutions to the Noh problem.
Presented the underlying theory and methods for finding solutions.
Provided examples of derived semi-analytic solutions.
Conducted a convergence test comparing numerical results from hydrodynamics codes against the semi-analytic solutions.
Validated the semi-analytic solutions as effective verification tools.
Demonstrated convergence of numerical results to semi-analytic solutions.

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 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 verification convergence test comparing numerical results from a hydrodynamics code against a non-trivial semi-analytic solution.

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