The extended Vinet analytical equations of state
Ann Elisabet Wills, USDOE National Nuclear Security Administration (NNSA) · 2023
When testing new materials models, it is often not possible to use tabulated Equations of States (EOS) since the model might only be available in a smaller specialized research code without capability to read in tables.In such cases a versatile and easy to implement analytical EOS is needed.In this report I derive, give, and discuss all formulas necessary for implementing the thermodynamically complete extended Vinet EOS 3 into codes.While similar to a Mie-Grüneisen (MG) EOS, this Vinet EOS is based on an isotherm and substantially easier to correctly implement than a MG EOS.In the extended Vinet the isotherm's density dependence is given as a power series in density to accommodate for higher density behavior which normally requires the Hugoniot based MG.