Verification Studies for the Noh Problem using Non-ideal Equations of State and Finite Strength Shocks

Burnett, Sarah Cassie; Honnell, Kevin Guy; Ramsey, Scott D.; Singleton, Robert Jr.

doi:10.1115/1.4041195

Title: Verification Studies for the Noh Problem using Non-ideal Equations of State and Finite Strength Shocks

Journal Article · 17 August 2018 · Journal of Verification, Validation and Uncertainty Quantification

DOI: https://doi.org/10.1115/1.4041195 · OSTI ID:1467323

Burnett, Sarah Cassie ^[1]; Honnell, Kevin Guy ^[2]; Ramsey, Scott D. ^[2];

^[2]

Univ. of Maryland, College Park, MD (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

We present that 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. Finally, the exact solutions are used to perform a variety of quantitative code verification studies of the Los Alamos National Laboratory Lagrangian hydrocode FLAG.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1467323

Report Number(s):: LA-UR-17-21479

Journal Information:: Journal of Verification, Validation and Uncertainty Quantification, Vol. 3, Issue 2; ISSN 2377-2158

Publisher:: ASMECopyright Statement

Country of Publication:: United States

Language:: English

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