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Converging Shock Flows for a Mie-Gr\"uneisen Equation of State. (arXiv:1712.08236v1 [physics.flu-dyn])
来源于:arXiv
Previous work has shown that the one-dimensional (1D) inviscid compressible
flow (Euler) equations admit a wide variety of scale-invariant solutions
(including the famous Noh, Sedov, and Guderley shock solutions) when the
included equation of state (EOS) closure model assumes a certain
scale-invariant form. However, this scale-invariant EOS class does not include
even simple models used for shock compression of crystalline solids, including
many broadly applicable representations of Mie-Gr\"uneisen EOS. Intuitively,
this incompatibility naturally arises from the presence of multiple dimensional
scales in the Mie-Gr\"uneisen EOS, which are otherwise absent from
scale-invariant models that feature only dimensionless parameters (such as the
adiabatic index in the ideal gas EOS). The current work extends previous
efforts intended to rectify this inconsistency, by using a scale-invariant EOS
model to approximate a Mie- Gr\"uneisen EOS form. To this end, the adiabatic
bulk modulus for the Mi 查看全文>>