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

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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Publication Details

Journal
Physics of Fluids
Published
2026-01-01
DOI
https://doi.org/10.1063/5.0305245
Primary Topic
Heat Transfer and Numerical Methods
Type
article
Field-Weighted Citation Impact
0.00

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article

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

Seth Gerberding, Scott David Ramsey, Jeff H Peterson, Jim Ferguson
Physics of Fluids
Heat Transfer and Numerical Methods
article

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

Seth Gerberding, Scott David Ramsey, Jeff H Peterson, Jim Ferguson
article en

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.

Physics of FluidsVol. 38(1)
Los Alamos National Laboratory (US)
U.S. Department of Energy
Openalex Percentile: Top 91%
Heat Transfer and Numerical Methods
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Semi-analytic solutions to the Noh problem with a black box EoS — Seth Gerberding, Scott David Ramsey, et al. · Physics of Fluids (2026) | TGRS Research Map | TGRS