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

Abstract

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.

Authors:
 [1];  [2];  [2]; ORCiD logo [2]
  1. Univ. of Maryland, College Park, MD (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1467323
Report Number(s):
LA-UR-17-21479
Journal ID: ISSN 2377-2158
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Verification, Validation and Uncertainty Quantification
Additional Journal Information:
Journal Volume: 3; Journal Issue: 2; Journal ID: ISSN 2377-2158
Publisher:
ASME
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 42 ENGINEERING

Citation Formats

Burnett, Sarah Cassie, Honnell, Kevin Guy, Ramsey, Scott D., and Singleton, Robert Jr. Verification Studies for the Noh Problem using Non-ideal Equations of State and Finite Strength Shocks. United States: N. p., 2018. Web. doi:10.1115/1.4041195.
Burnett, Sarah Cassie, Honnell, Kevin Guy, Ramsey, Scott D., & Singleton, Robert Jr. Verification Studies for the Noh Problem using Non-ideal Equations of State and Finite Strength Shocks. United States. doi:10.1115/1.4041195.
Burnett, Sarah Cassie, Honnell, Kevin Guy, Ramsey, Scott D., and Singleton, Robert Jr. Fri . "Verification Studies for the Noh Problem using Non-ideal Equations of State and Finite Strength Shocks". United States. doi:10.1115/1.4041195. https://www.osti.gov/servlets/purl/1467323.
@article{osti_1467323,
title = {Verification Studies for the Noh Problem using Non-ideal Equations of State and Finite Strength Shocks},
author = {Burnett, Sarah Cassie and Honnell, Kevin Guy and Ramsey, Scott D. and Singleton, Robert Jr.},
abstractNote = {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.},
doi = {10.1115/1.4041195},
journal = {Journal of Verification, Validation and Uncertainty Quantification},
number = 2,
volume = 3,
place = {United States},
year = {2018},
month = {8}
}

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