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 the cylindrical and spherical geometries, it is required that the analysis be restricted to strong shocks. The exact solutions are used to perform a variety of quantitative code verification studies of the Los Alamos National Laboratory Lagrangian hydrocode free Lagrangian (FLAG).
Verification Studies for the Noh Problem Using Nonideal Equations of State and Finite Strength Shocks
Manuscript received June 16, 2017; final manuscript received July 21, 2018; published online September 17, 2018. Assoc. Editor: Sumanta Acharya. The United States Government retains, and by accepting the article for publication, the publisher acknowledges that the United States Government retains, a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this work, or allow others to do so, for United States government purposes.
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Burnett, S. C., Honnell, K. G., Ramsey, S. D., and Singleton, R. L. (September 17, 2018). "Verification Studies for the Noh Problem Using Nonideal Equations of State and Finite Strength Shocks." ASME. J. Verif. Valid. Uncert. June 2018; 3(2): 021002. https://doi.org/10.1115/1.4041195
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