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DOE OSTI · 3015175

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

Gerberding, Seth James [Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:0009000524998965)·Peterson, Jeff Hammett [Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:0000000194254674)·Ferguson, Jim Michael [Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:0000000290197497)·Ramsey, Scott D. [Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:0000000324837254)
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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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97 MATHEMATICS AND COMPUTINGBlack-boxComputational modelsEquations of fluid dynamicsEquations of stateFinite volume methodsHydrodynamicsMathematical modelingNoh problemVerificationsemi-analytic solutions

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Gerberding, Seth James [Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:0009000524998965), Peterson, Jeff Hammett [Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:0000000194254674), Ferguson, Jim Michael [Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:0000000290197497), Ramsey, Scott D. [Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:0000000324837254). 2026-01-12. Semi-analytic solutions to the Noh problem with a black box EoS. https://doi.org/10.1063/5.0305245

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